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10,000

Number Prime Ten Thousand

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10,000 ( ten thousand) is the natural number following 9,999 and preceding 10,001.

Name

Many languages have a specific word for this number: in Ancient Greek it is μύριοι (the etymological root of the word myriad in English language), in Aramaic language ܪܒܘܬܐ, in Hebrew language רבבה , in Chinese language 萬/万 (Mandarin , Cantonese , Hokkien bān), in Japanese , in Khmer language ម៉ឺន , in Korean language 만/萬 , in Russian language тьма , in Vietnamese vạn, in Sanskrit अयुत ayuta, in Thai language หมื่น , in Malayalam പതിനായിരം , and in Malagasy alina. In many of these languages, it often denotes a very large but indefinite number.

The classical Greeks used letters of the Greek alphabet to represent Greek numerals: they used a capital letter mu (Μ) to represent ten thousand. This Greek root was used in early versions of the metric system in the form of the decimal prefix myria-.

Depending on the country, the number ten thousand is usually written as 10,000 (including in the UK and US), 10.000, or 10 000.

In mathematics

In scientific notation, it is written as 10⁴ or 1 E+4 (equivalently 1 E4) in E notation. It is the square of 100 and the square root of 100,000,000.

The value of a myriad to the Exponentiation of itself, 10000¹⁰⁰⁰⁰ = 10⁴⁰⁰⁰⁰.

It has a total of 25 , whose geometric mean is a Natural number, 100 (the number of primes below this value is 25).

It has a reduced totient of 500, and a totient of 4,000, with a total of 16 having a totient value of 10,000.

There are a total of 1,229 prime numbers less than ten thousand, a count that is itself prime. See "Table of n, prime(n) for n = 1..10000" under "Links".

A myriagon is a polygon with ten thousand edges and a total of 25 dihedral group symmetry groups when including the myriagon itself, alongside 25 as .

(2025). 9781568812205, A K Peters/CRC Press. . ISBN 9781568812205

Chapter 20.

In science

In astronomy,

asteroid Number: 10000 Myriostos, Provisional Designation: , Discovery Date: September 30, 1951, by A. G. Wilson:List of asteroids (9001-10000).

In climate, Summary of 10000 Years is one of several pages of the Climate Timeline Tool: Exploring Weather & Climate Change Through the Powers of 10 sponsored by the National Climatic Data Center of the National Oceanic & Atmospheric Administration. Climate Timeline Information Tool
In computing,

65,536 in decimal is equal to 10,000 kB in hexadecimal (the equivalent Addressing mode ranges of 0 to 65,535 in decimal are 0 to FFFF in hex).
NASA built a 10000-processor Linux computer (it is actually a 10,240-processor) called Columbia. news

In geography,

Land of 10000 Lakes is the nickname for the state of Minnesota.
Land of 10000 Trails or 10000trails.com is an organization created in 1999 by the TN/KY Lakes Area Coalition and based in West Tennessee and West Kentucky to promote tourism by developing trails in the region.
Ten Thousand Islands National Wildlife Refuge is situated in the lower end of the Fakahatchee and Picayune Strands of Big Cypress Swamp and west of Everglades National Park in Florida.
Valley of Ten Thousand Smokes in Alaska.

In physics,

Myria- (and myrio-) is an obsolete metric prefix that denoted a factor of 10⁺⁴, ten thousand, or 10,000.
10,000 hertz, 10 kilohertz , or 10 kHz of the radio frequency spectrum falls in the very low frequency or VLF band and has a wavelength of 30 kilometres.
In orders of magnitude (speed), the speed of a fast neutron is 10000 km/s.
In acoustics, 10,000 hertz, 10 kilohertz , or 10 kHz of a sound signal at sea level has a wavelength of about 34 mm.
In music, a 10 kilohertz sound is a E♭₉ in the A440 pitch standard, a bit more than an octave higher in pitch than the highest note on a standard piano.

In time

10000 BC, 10000 BCE, or 10th millennium BC.
10000-year clock or the Clock of the Long Now is a mechanical clock designed to keep time for 10000 years.

In the arts

In films,

10,000 Black Men Named George (2002, TV).
The Phantom from 10,000 Leagues (1956).
(1980, mini).

In music,

10,000 Days is the title of the fourth studio album by Tool.
Ten Thousand Fists is an album by Disturbed.
10,000 Hz Legend album by Air 2001.
10,000 Maniacs is a US rock band.
Ten Thousand Men of Harvard is a fight song of Harvard University.
10,000 Reasons (album) is a 2013 Christian album by Matt Redman.
"10,000 Reasons (Bless the Lord)" is a 2013 single by Matt Redman.
10,000 Promises. is a J-pop group.
"Ten Thousand Strong" is a song by American power metal band Iced Earth.
10,000 Gecs is the title of the second studio album by American experimental duo 100 gecs.

In other fields

In currency,

A version of Iraq's 10,000 Iraqi dinar banknote has Abu Ali Hasan Ibn al-Haitham (also known as Alhazen) on the front, and a later issue has sculptor Jawad Saleem's Freedom Monument in Baghdad on the front. Both notes have an image of Mosul's al-Hadba' Minaret on the back. The first issue had an image of former Iraqi president Saddam Hussein and the Spiral Minaret - Malwiya minaret in Samarra.http://www.iraqsales.com/10%2C000.htm
the Japanese Japanese yen10,000 banknote depicts Fukuzawa Yukichi.
Kazakhstan's 10,000₸ banknote.
the Lebanon Lebanese pound10,000 banknote depicts Beirut's Martyrs' Square.
Myanmar's (Burma's) Burmese kyat10,000/- banknote.
the U.S. $10,000 note depicts a picture of Salmon P. Chase.

In distances,

10 km, 10,000 m, or 1 E+4 m is equal to:

1 Scandinavian mil.
about 6.2137 mile.
side of square with area 100 km².
radius of a circle with area 100 km² ≈ 314.159 km².

In finance, on March 29, 1999, the Dow Jones Industrial Average closed at 10006.78, which was the first time the index closed above the 10,000 mark.
In futurology, Stewart Brand in Visions of the Future: The 10,000-Year Library proposes a museum built around a 10,000-year clock as an idea for assuring that vital information survives future crashes of civilizations.
In games,

Ten Thousand is one name of a dice game called farkle.

In game shows, The $10,000 Pyramid ran on television from 1973 to 1974.
In history,

Army of 10,000 Mississippi American Civil War military unit, 1861–1862.
The Army of the Ten Thousand were a group of Ancient Greek mercenaries who marched against Artaxerxes II of Persia.
The Persian Immortals were also called the Ten Thousand or 10,000 Immortals, so named because their Number of 10,000 was immediately re-established after every loss.
The 10,000 Day War: Vietnam by Michael Maclear also alternate titles The ten thousand day war: Vietnam, 1945–1975 (10,000 days is 27.4 years).
Tomb of Ten Thousand Soldiers – defeat of the Tang dynasty army of China in the Nanzhao kingdom in 751.
In Islamic history, 10,000 is the Number of besieging forces led by Muhammad's adversary, Abu Sufyan, during the Battle of the Trench.
10,000 is the number of Muhammad's soldiers during the conquest of Mecca.

In language,

the Chinese, Japanese, Korean, and Vietnamese phrase live for ten thousand years was used to bless emperors in East Asia.
Myriad is an Ancient Greek name for 10.000 taken into the modern European languages as 'myriad' (see above). Hebrew, Chinese, Japanese, and Korean have words with the same meaning.

In literature,

Man'yōshū ( Man'yōshū, Collection of Ten Thousand Leaves) is the oldest existing, and most highly revered, collection of Japanese poetry.
Ten Thousand a Year 1839 by Samuel Warren.
Ten Thousand a Year 1883?. A drama in three acts. Adapted from the celebrated novel of the same name, by the author of the Diary of a Physician, and arranged for the stage by Richard Brinsley Peake.
Anabasis, by the Greek writer Xenophon (431–360 B.C.), about the Army of the Ten Thousand – Greek mercenaries taking part in the expedition of Cyrus the Younger, a Persian prince, against his brother, King Artaxerxes II.
The Ten Thousand: A Novel of Ancient Greece by Michael Curtis Ford. 2001. Historic fiction about the Army of the Ten Thousand.
The World of the Ten Thousand Things: Poems 1980–1990 by Charles Wright .
Ten Thousand Lovers by Edeet Ravel .

In philosophy, Lao Zi writes about ten thousand things in the Tao Te Ching. In Taoism, the "10,000 Things" is a term meaning all of phenomenal reality.
In piphilology, ten thousand is the current world record for the Number of digits of pi memorized by a human being.
In psychology, Ten Thousand Dreams Interpreted, or what's in a : Ten Thousand Dreams Interpreted
In religion,

The Bible,

has 52 references to ten thousand in the King James Version.http://bible.gospelcom.net/keyword/?search=ten%20thousand&version1=9&searchtype=phrase&wholewordsonly=yes , [3]
Revelation 5:11 And I beheld, and I heard the voice of many angels round about the throne and the beasts and the elders: and the number of them was ten thousand times ten thousand, and thousands of thousands. (KJV) The Apocalypse of John

hymn, Ten thousand times ten thousand.[6]
The Ten thousand martyrs. The Catholic Encyclopedia

In software,

The Year 10,000 problem is the collective name for all potential software bugs that will emerge as the need to express years with five digits arises.

In sports,

In athletics, 10,000 meters, 10 kilometers, 10 km, or 10K (6.2 miles) is the final standard track event in a long-distance track event and a distance in other racing events such as running, cycle sport, and skiing.
In bicycle racing, annual Tour of 10,000 Lakes Stage Race in Minneapolis.
In baseball, on July 15, 2007, the Philadelphia Phillies became the first team in American professional sports history to lose 10,000 games.

Selected numbers in the range 10001-19999

10001 to 10999

10007 = smallest five-digit prime number, twin prime with 10009
10008 = palindromic in bases 5 (310013₅), 22 (KEK₂₂), 28 (CLC₂₈) and 33 (969₃₃) and a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 10, 13, 14 and 16
10009 = twin prime with 10007
10018 = centered heptagonal number
10080 = 21st highly composite number; number of minutes in a week
10111 = palindromic prime in bases 3 (111212111₃) and 27 (DND₂₇)
10143 = number of partitions of 33
10176 = smallest (provable) generalized Riesel number in decimal: is always divisible by covering set
10201 = 101², palindrome square number (in the decimal system)
10206 = pentagonal pyramidal number
10223 = sixth last number to be eliminated (in 2016) by Seventeen or Bust (now a sub-project of PrimeGrid) in the Sierpiński problem
10239 = Woodall number
10252 = Padovan sequence
10267 = cuban prime
10301 = palindromic prime in bases 10 (10301₁₀), 27 (E3E₂₇), 30 (BDB₃₀) and 44 (5E5₄₄)
10333 = star prime, palindromic in bases 9 (15151₉), 31 (ANA₃₁) and 35 (8F8₃₅)
10368 = 3-smooth number (2⁷×3⁴)
10395 = double factorial of 11
10416 = square pyramidal number
10425 = octahedral number
10430 = weird number
10433 = palindromic prime in base 44 (5H5₄₄)
10440 = 144th triangular number
10499 = twin prime with 10501
10500 = Harshad number in bases 2, 3, 4, 6, 7, 8, 9, 10, 11, 15 and 16
10501 = palindromic prime in bases 10 (10501₁₀) and 58 (373₅₈)
10512 = Harshad number in bases 2, 3, 4, 5, 7, 8, 9, 10, 13 and 16
10538 = 10538 Overture is a hit single by Electric Light Orchestra
10560 = Harshad number in bases 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14 and 16
10570 = weird number
10585 = Carmichael number
10601 = palindromic prime in bases 10 (10601₁₀) and 30 (BNB₃₀)
10609 = 103², tribonacci number
10631 = palindromic prime in base 30 (BOB₃₀)
10646 = ISO 10646 is the standard for Unicode
10648 = 22³, the smallest 5-digit cube
10660 = tetrahedral number
10671 = tetranacci number
10700 = 10700 kHz or 10.7 MHz is a standard intermediate frequency for analog superheterodyne FM broadcast band receivers
10744 = amicable number with 10856
10752 = the second 16-bit computer word of a TIFF file if the byte order marker is misunderstood
10792 = weird number
10800 = number of bricks used for the uttaravedi in the Agnicayana ritual
10837 = star prime
10856 = amicable number with 10744
10905 = Wedderburn–Etherington number
10922 = repdigit in base 4 (2222222₄), and palindromic in base 8 (25252₈)
10946 = Fibonacci number, Markov number
10958 = the smallest positive integer that cannot be represented by an equation using increasing order of integers from 1 to 9 and basic arithmetic operations
10981 = number of reduced trees with 22 nodes
10989 = reverses when multiplied by 9
10990 = weird number

11000 to 11999

11025 = 105², the sum of the first 14 positive integer cubes
11083 = palindromic prime in 2 consecutive bases: 23 (KLK₂₃) and 24 (J5J₂₄)
11111 = Repunit
11297 = Number of planar partitions of 16
11298 =
11311 = palindromic prime in decimal
11340 = Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
11353 = star prime
11368 = pentagonal pyramidal number
11410 = weird number
11411 = palindromic prime in decimal
11424 = Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
11440 = square pyramidal number
11480 = tetrahedral number
11574 = approximate number of days in a billion seconds
11593 = smallest prime to start a run of nine consecutive primes of the form 4 k + 1
11605 = smallest integer to start a run of five consecutive integers with the same number of divisors
11664 = 3-smooth number (2⁴×3⁶).
11690 = weird number
11717 = twin prime with 11719
11719 = cuban prime, twin prime with 11717
11726 = octahedral number
11781 = triangular number, hexagonal number, octagonal number, and also 58-gonal, 216-gonal, 329-gonal, 787-gonal and 3928-gonal number
11826 = smallest number whose square is pandigital without zeros
11953 = palindromic prime in bases 7 (46564₇) and 30 (D8D₃₀)

12000 to 12999

12000 = 12,000 of each of the twelve tribes of Israel made up the 144,000 servants of God who were 'sealed' according to the Book of Revelation in the New Testament
12048 = of weight 12
12097 = cuban prime
12101 = Friedman prime
12107 = Friedman prime
12109 = Friedman prime
12110 = weird number
12167 = 23³
12172 = number of triangle-free graphs on 10 vertices
12198 = semi-meandric number
12251 = number of primes $\leq 2^{17}$
12285 = amicable number with 14595
12287 = Thabit number
12288 = 3-smooth number (2¹²×3).
12289 = Proth prime, Pierpont prime
12310 = number of partitions of 34
12321 = 111², Demlo number, palindromic square
12341 = tetrahedral number
12345 = smallest whole number containing all numbers from 1 to 5
12407 = cited on Q.I. as the smallest uninteresting positive integer regarding arithmetical mathematicsOn the basis that it did not then (November 2011) appear in Sloane's On-Line Encyclopedia of Integer Sequences
12421 = palindromic prime
12496 = smallest sociable number
12500 = 2²×5⁵
12529 = square pyramidal number
12530 = weird number
12542 = there is a match puzzle called MOST + MOST = TOKYO, where each letter represents a digit. When one solves the puzzle, TOKYO = 12542, as 6271 + 6271 = 12542
12670 = weird number
12721 = palindromic prime
12726 = Ruth–Aaron pair
12758 = most significant Number that cannot be expressed as the sum of distinct cubes
12765 = Finnish internet meme; the code accompanying no-prize caps in a Coca-Cola bottle top prize contest. Often spelled out yksi – kaksi – seitsemän – kuusi – viisi, ei voittoa, "one – two – seven – six – five, no prize".
12769 = 113², palindromic in base 3
12821 = palindromic prime

13000 to 13999

13122 = 3-smooth number (2×3⁸).
13131 = octahedral number
13244 = tetrahedral number
13267 = cuban prime
13331 = palindromic prime
13370 = weird number
13510 = weird number
13581 = Padovan number
13648 = number of 20-bead necklaces (turning over is allowed) where complements are equivalent
13669 = cuban prime
13685 = square pyramidal number
13790 = weird number
13792 = largest number that is not a sum of 16 fourth powers
13798 = number of 19-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
13820 = meandric number, open meandric number
13824 = 24³
13831 = palindromic prime
13860 = Pell number
13930 = weird number
13931 = palindromic prime
13950 = pentagonal pyramidal number

14000 to 14999

14190 = tetrahedral number
14200 = number of n-Queens Problem solutions for n – 12
14341 = palindromic prime
14400 = 120², the sum of the first 15 positive integers cubes
14595 = amicable number with 12285
14641 = 121² = 11⁴, palindromic square (base 10)
14644 = octahedral number
14701 = Markov number
14741 = palindromic prime
14770 = weird number
14883 = number of partitions of 35
14884 = 122², palindromic square in base 11
14910 = square pyramidal number

15000 to 15999

15015 = smallest odd and square-free abundant number
15120 = 22nd highly composite number; smallest number with exactly 80 factors
15180 = tetrahedral number
15376 = 124², pentagonal pyramidal number
15387 = Zeisel number
15451 = palindromic prime
15511 = Motzkin prime
15551 = palindromic prime
15552 = 3-smooth number (2⁶×3⁵)
15610 = weird number
15625 = 125² = 25³ = 5⁶
15629 = Friedman prime
15640 = initial number of only four-, five-, or six-digit century to contain two (in between which lies a record prime gap of 43)
15661 = Friedman prime
15667 = second nice Friedman prime
15679 = Friedman prime
15793 – Number of parallelogram polyominoes with 13 cells
15841 = Carmichael number
15876 = 126², palindromic square in base 5
15890 = weird number

16000 to 16999

16030 = weird number
16057 = the following prime sextuplet after 97, 16061, 16063, 16067, 16069, and 16073
16061 = palindromic prime
16072 = logarithmic number
16091 = strobogrammatic prime
16206 = square pyramidal number
16269 = octahedral number
16310 = weird number
16361 = palindromic prime
16381 = Friedman prime
16384 = 128² = 2¹⁴, palindromic in base 15
16447 = third nice Friedman prime
16561 = palindromic prime
16580 = Leyland number using 2 & 14 (2¹⁴ + 14²)
16651 = cuban prime
16661 = palindromic prime
16730 = weird number
16759 = Friedman prime
16796 = Catalan number
16807 = 7⁵
16843 = smallest Wolstenholme prime
16870 = weird number
16879 = Friedman prime
16896 = pentagonal pyramidal number
16999 = number of partially ordered set with 8 unlabeled elements

17000 to 17999

17073 = number of free 11-ominoes
17163 = the most significant number that is not the sum of the squares of distinct primes
17272 = weird number
17296 = amicable number with 18416
Peter Higgins (2025). 9781848000001, Copernicus. . ISBN 9781848000001
17344 = Kaprekar number
17389 = 2000th prime number
17471 = palindromic prime
17496 = 3-smooth number (2³×3⁷)
17570 = weird number
17575 = square pyramidal number
17576 = 26³, palindromic in base 5
17689 = 133², palindromic in base 11
17711 = Fibonacci number
17971 = palindromic prime
17977 = number of partitions of 36
17990 = weird number
17991 = Padovan number

18000 to 18999

18010 = octahedral number
18181 = palindromic prime, strobogrammatic prime
18334 = number of planar partitions of 17
18410 = weird number
18416 = amicable number with 17296Higgins, ibid.
18432 = 3-smooth number (2¹¹×3²).
18481 = palindromic prime
18496 = 136², the sum of the first 16 positive integers cubes
18600 = harmonic divisor number
18620 = harmonic divisor number
18785 = Leyland number using 4 & 7 (4⁷ + 4⁷)
18830 = weird number
18970 = weird number

19000 to 19999

19019 = square pyramidal number
19141 = unique prime in Duodecimal
19302 = Number of ways to partition {1,2,3,4,5,6,7} and then partition each cell (block) into subcells
19320 = number of trees with 16 unlabeled nodes
19390 = weird number
19391 = palindromic prime
19417 = prime sextuplet, along with 19421, 19423, 19427, 19429, and 19433
19441 = cuban prime
19455 = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
19513 = tribonacci number
19531 = repunit prime in base 5
19600 = 140², tetrahedral number
19601/13860 ≈ √2
19609 = first prime number followed by a prime gap of over fifty
19670 = weird number
19683 = 27³, 3⁹. Furthermore, there is a math puzzle regarding the word logic, such that LOGIC = (L+O+G+I+C)³. The solution to this is (1+9+6+8+3) (1+9+6+8+3) (1+9+6+8+3), which is (27)(27)(27), which equals to 19683. This is one of two digits for which this works, although the other solution has O and I are the same digit: 17576, as (1+7+5+7+6) (1+7+5+7+6) (1+7+5+7+6) = (26)(26)(26) = 17576.
19729 is the number of digits in $2\uparrow\uparrow5$ (Tetration)
19739 = fourth nice Friedman prime
19871 = octahedral number
19891 = palindromic prime
19927 = cuban prime
19991 = palindromic prime

Primes

There are 1033 prime numbers between 10000 and 20000, a count that is itself prime. It is 196 prime numbers less than the number of primes between 0 and 10000 (1229, also prime).

10,000

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