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 (the etymological root of the word myriad in English), in Aramaic , in Hebrew [], in Chinese (Mandarin , Cantonese , Hokkien bān), in Japanese [], in Khmer [], in Korean [], in Russian [], in Vietnamese , in Sanskrit अयुत [ayuta], in Thai [], in Malayalam [], 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 10<sup>4</sup> 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 power of itself, 10000<sup>10000</sup> = 10<sup>40000</sup>.
It has a total of 25 divisors, whose geometric mean is a whole 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 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 (the equivalent addressing 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.
- 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<sup>+4</sup>, 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♭<sub>9</sub> 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
Visual media
- 10,000 Black Men Named George, a TV series (2002)
- The Phantom from 10,000 Leagues, a monster film (1956)
- Vietnam: The Ten Thousand Day War, a miniseries (1980)
Bands
- 10,000 Maniacs, an American rock band
- 10,000 Promises., a J-pop group
Albums
- 10,000 Days, by Tool (2006)
- 10,000 Hz Legend, by Air (2001)
- 10,000 Reasons (album) by Matt Redman (2013)
- 10,000 Gecs by 100 gecs (2023)
- Ten Thousand Fists, by Disturbed (2005)
Songs
- "Ten Thousand Men of Harvard", fight song of Harvard University
- "10,000 Reasons (Bless the Lord)" by Matt Redman (2013)
- "Ten Thousand Strong" by Iced Earth (2007)
In other fields
- In currency,
- A version of Iraq's 10,000 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 - 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 (Burma'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 km<sup>2</sup>.
- radius of a circle with area 100 km<sup>2</sup> ≈ 314.159 km<sup>2</sup>.
- 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.
- Μύριοι 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,
- ( , 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 dream: a scientific and practical, by Miller, Gustavus Hindman (1857–1929). 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 (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, 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 10009
- 10008 = palindromic in bases 5 (310013<sub>5</sub>), 22 (KEK<sub>22</sub>), 28 (CLC<sub>28</sub>) and 33 (969<sub>33</sub>) 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 (111212111<sub>3</sub>) and 27 (DND<sub>27</sub>)
- 10143 = number of partitions of 33
- 10176 = smallest (provable) generalized Riesel number in base 10: is always divisible by one of the prime numbers
- 10201 = 101<sup>2</sup>, palindromic square (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 number
- 10267 = cuban prime
- 10301 = palindromic prime in bases 10 (10301<sub>10</sub>), 27 (E3E<sub>27</sub>), 30 (BDB<sub>30</sub>) and 44 (5E5<sub>44</sub>)
- 10333 = star prime, palindromic in bases 9 (15151<sub>9</sub>), 31 (ANA<sub>31</sub>) and 35 (8F8<sub>35</sub>)
- 10368 = 3-smooth number (2<sup>7</sup>×3<sup>4</sup>)
- 10395 = double factorial of 11
- 10416 = square pyramidal number
- 10425 = octahedral number
- 10430 = weird number
- 10433 = palindromic prime in base 44 (5H5<sub>44</sub>)
- 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 (10501<sub>10</sub>) and 58 (373<sub>58</sub>)
- 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
- 10601 = palindromic prime in bases 10 (10601<sub>10</sub>)
- 10631 = palindromic prime in base 30 (BOB<sub>30</sub>)
- 10646 = ISO 10646 is the standard for Unicode
- 10648 = 22<sup>3</sup>, 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 word of a TIFF file if the byte order marker is misunderstood
- 10792 = weird number
- 10922 = repdigit in base 4 (2222222<sub>4</sub>), and palindromic in base 8 (25252<sub>8</sub>)
- 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
- 11297 = Number of planar partitions of 16
- 11298 = Riordan number
- 11311 = palindromic prime in decimal
- 11826 = smallest number whose square is pandigital without zeros
- 11842 = palindromic in bases 3 (121020121<sub>3</sub>), 27 (G6G<sub>27</sub>) and 34 (A8A<sub>34</sub>)
- 11953 = palindromic prime in bases 7 (46564<sub>7</sub>) and 30 (D8D<sub>30</sub>)
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 = number of non-isomorphic set-systems of weight 12
- 12097 = cuban prime
- 12198 = semi-meandric number
- 12251 = number of primes <math>\leq 2^{17}</math>
- 12285 = amicable number with 14595
- 12287 = Thabit number
- 12288 = 3-smooth number (2<sup>12</sup>×3).
- 12289 = Proth prime, Pierpont prime
- 12310 = number of partitions of 34
- 12421 = palindromic prime
- 12529 = square pyramidal number
- 12670 = weird number
- 13669 = cuban prime
- 13820 = meandric number, open meandric number
- 13824 = 24<sup>3</sup>
- 13831 = palindromic prime
- 13930 = weird number
- 15120 = 22nd highly composite number; smallest number with exactly 80 factors
- 15451 = palindromic prime
- 15551 = palindromic prime (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
- 16091 = strobogrammatic prime
- 16206 = square pyramidal number using 2 & 14 (2<sup>14</sup> + 14<sup>2</sup>)
- 16651 = cuban prime
- 16807 = 7<sup>5</sup>
- 16843 = smallest Wolstenholme prime
- 16870 = weird number
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
- 17344 = Kaprekar number
- 17389 = 2000th prime number
- 17471 = palindromic prime
- 18432 = 3-smooth number (2<sup>11</sup>×3<sup>2</sup>).
- 18481 = palindromic prime
- 18620 = harmonic divisor number
- 19320 = number of trees with 16 unlabeled nodes
- 19390 = weird number
- 19729 is the number of digits in <math>2\uparrow\uparrow5</math>(Tetration)
- 19739 = fourth nice Friedman prime
- 19871 = octahedral number
