10,000

10,000 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, in Aramaic ܪܒܘܬܐ, in Hebrew רבבה, in Chinese 萬/万, in Japanese, in Khmer ម៉ឺន, in Korean 만/萬, in Russian тьма, in Vietnamese vạn, in Sanskrit अयुत, in Thai 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 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, 10.000, or 10 000.

In mathematics

In scientific notation, it is written as 10⁴ or 1 E+4 in E notation. It is the square of 100 and the square root of 100,000,000.
The value of a myriad to the power of itself, 10000¹⁰⁰⁰⁰ = 10⁴⁰⁰⁰⁰.
It has a total of 25 divisors, whose geometric mean is a whole number, 100.
It has a reduced totient of 500, and a totient function|totient] of 4,000, with a total of 16 integers 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.
A myriagon is a polygon with ten thousand edges and a total of 25 dihedral symmetry groups when including the myriagon itself, alongside 25 cyclic groups as subgroups.

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.
In computing,
* 65,536 kilobytes in decimal is equal to 10,000 kB in hexadecimal.
*NASA built a 10000-processor Linux computer called Columbia.
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- 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.
* The Phantom from 10,000 Leagues.
* Vietnam: The Ten Thousand Day War.
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 Japanese 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 dinar banknote has Abu Ali Hasan Ibn al-Haitham 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 - Al-Minārat Al-Malwiyyah in Samarra.
* the Japanese ¥10,000 banknote depicts Fukuzawa Yukichi.
* Kazakhstan's 10,000₸ banknote.
* the Lebanese £L10,000 banknote depicts Beirut's Martyrs' Square.
* Myanmar's Ks.10,000/- 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 English miles.
** 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.
* 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.
* Μύριοι is an Ancient Greek name for 10.000 taken into the modern European languages as 'myriad'. Hebrew, Chinese, Japanese, and Korean have words with the same meaning.
In literature,
* Man'yōshū 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, 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 dream: a scientific and practical, by Miller, Gustavus Hindman. Project Gutenberg.
In religion,
* The Bible,
** has 52 references to ten thousand in the King James Version.
** 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.
* hymn, Ten thousand times ten thousand.
* The Ten thousand martyrs.
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 is the final standard track event in a long-distance track event and a distance in other racing events such as running, cycling, 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

10006 = number of unlabelled distributive lattices with 19 nodes.10007 = smallest five-digit prime number, twin prime with 1000910008 = palindromic in bases 5, 22, 28 and 33 and a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 10, 13, 14 and 1610009 = twin prime with 1000710018 = centered heptagonal number10080 = 21st highly composite number; number of minutes in a week10111 = palindromic prime in bases 3 and 27 10143 = number of partitions of 3310176 = smallest generalized Riesel number in base 10: is always divisible by one of the prime numbers

11000 to 11999

11025 = 105², the sum of the first 14 positive integer cubes11083 = palindromic prime in 2 consecutive bases: 23 and 24 11111 = Repunit11297 = Number of planar partitions of 1611298 = Riordan number11311 = palindromic prime in decimal11340 = Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 1611353 = star prime11368 = pentagonal pyramidal number11410 = weird number11411 = palindromic prime in decimal11424 = Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 1611440 = square pyramidal number11480 = tetrahedral number11574 = approximate number of days in a billion seconds11593 = smallest prime to start a run of nine consecutive primes of the form 4k + 111605 = smallest integer to start a run of five consecutive integers with the same number of divisors11664 = 3-smooth number.11690 = weird number11717 = twin prime with 1171911719 = cuban prime, twin prime with 1171711726 = octahedral number11781 = triangular number, hexagonal number, octagonal number, and also 58-gonal, 216-gonal, 329-gonal, 787-gonal and 3928-gonal number11826 = smallest number whose square is pandigital without zeros11842 = palindromic in bases 3, 27 and 34 11953 = palindromic prime in bases 7 and 30

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 Testament12048 = number of non-isomorphic set-systems of weight 1212097 = cuban prime12101 = Friedman prime12107 = Friedman prime12109 = Friedman prime12110 = weird number12167 = 23³12172 = number of triangle-free graphs on 10 vertices12198 = semi-meandric number12251 = number of primes 12285 = amicable number with 1459512287 = Thabit number12288 = 3-smooth number.12289 = Proth prime, Pierpont prime12310 = number of partitions of 3412321 = 111², Demlo number, palindromic square12341 = tetrahedral number12345 = smallest whole number containing all numbers from 1 to 512407 = cited on QI as the smallest uninteresting positive integer regarding arithmetical mathematics12421 = palindromic prime12496 = smallest sociable number12500 = 2²×5⁵12529 = square pyramidal number12530 = weird number12542 = 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 number12721 = palindromic prime12726 = Ruth–Aaron pair12758 = most significant Number that cannot be expressed as the sum of distinct cubes12765 = 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 312821 = palindromic prime

13000 to 13999

13122 = 3-smooth number.13131 = octahedral number13244 = tetrahedral number13267 = cuban prime13331 = palindromic prime13370 = weird number13510 = weird number13579 = contains the first 5 odd numbers in ascending order13581 = Padovan number13648 = number of 20-bead necklaces where complements are equivalent13669 = cuban prime13685 = square pyramidal number13790 = weird number13792 = largest number that is not a sum of 16 fourth powers13798 = number of 19-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed13820 = meandric number, open meandric number13824 = 24³13831 = palindromic prime13860 = Pell number13930 = weird number13931 = palindromic prime13950 = pentagonal pyramidal number

14000 to 14999

14190 = tetrahedral number14200 = number of n-Queens Problem solutions for n – 1214341 = palindromic prime14400 = 120², the sum of the first 15 positive integers cubes14595 = amicable number with 1228514641 = 121² = 11⁴, palindromic square 14644 = octahedral number14701 = Markov number14741 = palindromic prime14770 = weird number14883 = number of partitions of 3514884 = 122², palindromic square in base 1114910 = square pyramidal number

15000 to 15999

15015 = smallest odd and square-free abundant number15120 = 22nd highly composite number; smallest number with exactly 80 factors15180 = tetrahedral number15376 = 124², pentagonal pyramidal number15387 = Zeisel number15451 = palindromic prime15511 = Motzkin prime15551 = palindromic prime15552 = 3-smooth number 15610 = weird number15625 = 125² = 25³ = 5⁶15629 = Friedman prime15640 = initial number of only four-, five-, or six-digit century to contain two prime quadruples 15661 = Friedman prime15667 = second nice Friedman prime15679 = Friedman prime15793 – Number of parallelogram polyominoes with 13 cells15841 = Carmichael number15876 = 126², palindromic square in base 515890 = weird number

16000 to 16999

16030 = weird number16057 = the following prime sextuplet after 97, 16061, 16063, 16067, 16069, and 1607316061 = palindromic prime16072 = logarithmic number16091 = strobogrammatic prime16206 = square pyramidal number16269 = octahedral number16310 = weird number16361 = palindromic prime16381 = Friedman prime16384 = 128² = 2¹⁴, palindromic in base 1516447 = third nice Friedman prime16561 = palindromic prime16580 = Leyland number using 2 & 14 16651 = cuban prime16661 = palindromic prime16730 = weird number16759 = Friedman prime16796 = Catalan number16807 = 7⁵16843 = smallest Wolstenholme prime16870 = weird number16879 = Friedman prime16896 = pentagonal pyramidal number16999 = number of partially ordered set with 8 unlabeled elements

17000 to 17999

17073 = number of free 11-ominoes17163 = the most significant number that is not the sum of the squares of distinct primes17272 = weird number17296 = amicable number with 1841617344 = Kaprekar number17389 = 2000th prime number17471 = palindromic prime17496 = 3-smooth number 17570 = weird number17575 = square pyramidal number17576 = 26³, palindromic in base 517689 = 133², palindromic in base 1117711 = Fibonacci number17971 = palindromic prime17977 = number of partitions of 3617990 = weird number17991 = Padovan number

18000 to 18999

18010 = octahedral number18181 = palindromic prime, strobogrammatic prime18334 = number of planar partitions of 1718410 = weird number18416 = amicable number with 1729618432 = 3-smooth number.18481 = palindromic prime18496 = 136², the sum of the first 16 positive integers cubes18600 = harmonic [divisor number]18620 = harmonic divisor number18785 = Leyland number using 4 & 7 18830 = weird number18970 = weird number

19000 to 19999

19019 = square pyramidal number19141 = unique prime in base 1219302 = Number of ways to partition and then partition each cell into subcells19320 = number of trees with 16 unlabeled nodes19390 = weird number19391 = palindromic prime19417 = prime sextuplet, along with 19421, 19423, 19427, 19429, and 1943319441 = cuban prime19455 = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers19513 = tribonacci number19531 = repunit prime in base 519600 = 140², tetrahedral number19601/13860 ≈ √219609 = first prime followed by a prime gap of over fifty19670 = weird number19683 = 27³, 3⁹. Furthermore, there is a math puzzle regarding the word logic, such that LOGIC = ³. The solution to this is, which is, 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 = = 17576.19729 is the number of digits in 19739 = fourth nice Friedman prime19871 = octahedral number19891 = palindromic prime19927 = cuban prime19991 = 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.