# 10,000

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), in Aramaic ܪܒܘܬܐ, in Hebrew רבבה [revava], in Chinese 萬/万 (Mandarin wàn, Cantonese maan6, Hokkien bān), in Japanese 万/萬 [man], in Khmer ម៉ឺន [meun], in Korean 만/萬 [man], in Russian тьма [t'ma], in Vietnamese vạn, in Sanskrit अयुत [ayuta], in Thai หมื่น [meun], in Malayalam പതിനായിരം [patinayiram], 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$^4$ 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$^{10000}$ = 10$^{40000}$.
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: 1951 SY, 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$^{+4}$, 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).
** Vietnam: The Ten Thousand Day War (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 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 (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. $10,000 note depicts a picture of Salmon P. Chase.
* In distances,
** 10 km, 10,000 m, or 1 E+4 m is equal to:
*** 1 Scandinavian mil.
*** about 6.2137 English miles.
*** side of square with area 100 km$^2$.
*** radius of a circle with area 100 π km$^2$ ≈ 314.159 km$^2$.
* 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 ISBN 0-312-79094-5 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,
** Man'yōshū (万葉集 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. ISBN 0-312-26946-3 Historic fiction about the Army of the Ten Thousand.
** The World of the Ten Thousand Things: Poems 1980–1990 by Charles Wright ISBN 0-374-29293-0 ISBN 0-374-52326-6.
** Ten Thousand Lovers by Edeet Ravel ISBN 0-06-056562-4.
* 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

* 10007 = smallest five-digit prime number, twin prime with 10009
* 10008 = palindromic in bases 5 (310013$_5$), 22 (KEK$_{22}$), 28 (CLC$_{28}$) and 33 (969$_{33}$) 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$_3$) and 27 (DND$_{27}$)
* 10143 = number of partitions of 33
* 10176 = smallest (provable) generalized Riesel number in base 10: 10176*10$^n$-1 is always divisible by one of the prime numbers {7, 11, 13, 37
* 10201 = 101$^2$, 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$_{10}$), 27 (E3E$_{27}$), 30 (BDB$_{30}$) and 44 (5E5$_{44}$)
* 10333 = star prime, palindromic in bases 9 (15151$_9$), 31 (ANA$_{31}$) and 35 (8F8$_{35}$)
* 10368 = 3-smooth number (2$^7$×3$^4$)
* 10395 = double factorial of 11
* 10416 = square pyramidal number
* 10425 = octahedral number
* 10430 = weird number
* 10433 = palindromic prime in base 44 (5H5$_{44}$)
* 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$_{10}$) and 58 (373$_{58}$)
* 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 (10601$_{10}$) and 30 (BNB$_{30}$)
* 10609 = 103$^2$, tribonacci number
* 10631 = palindromic prime in base 30 (BOB$_{30}$)
* 10646 = ISO 10646 is the standard for Unicode
* 10648 = 22$^3$, 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
* 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 (2222222$_4$), and palindromic in base 8 (25252$_8$)
* 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 = 105$^2$, the sum of the first 14 positive integer cubes
* 11083 = palindromic prime in 2 consecutive bases: 23 (KLK$_{23}$) and 24 (J5J$_{24}$)
* 11111 = Repunit
* 11297 = Number of planar partitions of 16
* 11298 = Riordan number
* 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 4k + 1
* 11605 = smallest integer to start a run of five consecutive integers with the same number of divisors
* 11664 = 3-smooth number (2$^4$×3$^6$).
* 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 (46564$_7$) and 30 (D8D$_{30}$)

### 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 Testament
* 12048 = number of non-isomorphic set-systems of weight 12
* 12097 = cuban prime
* 12101 = Friedman prime
* 12107 = Friedman prime
* 12109 = Friedman prime
* 12110 = weird number
* 12167 = 23$^3$
* 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 (2$^{12}$×3).
* 12289 = Proth prime, Pierpont prime
* 12310 = number of partitions of 34
* 12321 = 111$^2$, 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 mathematics
* 12421 = palindromic prime
* 12496 = smallest sociable number
* 12500 = 2$^2$×5$^5$
* 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 = 113$^2$, palindromic in base 3
* 12821 = palindromic prime

### 13000 to 13999

* 13122 = 3-smooth number (2×3$^8$).
* 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 = 24$^3$
* 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 = 120$^2$, the sum of the first 15 positive integers cubes
* 14595 = amicable number with 12285
* 14641 = 121$^2$ = 11$^4$, palindromic square (base 10)
* 14644 = octahedral number
* 14701 = Markov number
* 14741 = palindromic prime
* 14770 = weird number
* 14883 = number of partitions of 35
* 14884 = 122$^2$, 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 = 124$^2$, pentagonal pyramidal number
* 15387 = Zeisel number
* 15451 = palindromic prime
* 15511 = Motzkin prime
* 15551 = palindromic prime
* 15552 = 3-smooth number (2$^6$×3$^5$)
* 15610 = weird number
* 15625 = 125$^2$ = 25$^3$ = 5$^6$
* 15629 = Friedman prime
* 15640 = initial number of only four-, five-, or six-digit century to contain two prime quadruples (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 = 126$^2$, 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 = 128$^2$ = 2$^{14}$, palindromic in base 15
* 16447 = third nice Friedman prime
* 16561 = palindromic prime
* 16580 = Leyland number using 2 & 14 (2$^{14}$ + 14$^2$)
* 16651 = cuban prime
* 16661 = palindromic prime
* 16730 = weird number
* 16759 = Friedman prime
* 16796 = Catalan number
* 16807 = 7$^5$
* 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
* 17344 = Kaprekar number
* 17389 = 2000th prime number
* 17471 = palindromic prime
* 17496 = 3-smooth number (2$^3$×3$^7$)
* 17570 = weird number
* 17575 = square pyramidal number
* 17576 = 26$^3$, palindromic in base 5
* 17689 = 133$^2$, 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 17296
* 18432 = 3-smooth number (2$^{11}$×3$^2$).
* 18481 = palindromic prime
* 18496 = 136$^2$, the sum of the first 16 positive integers cubes
* 18600 = harmonic divisor number
* 18620 = harmonic divisor number
* 18785 = Leyland number using 4 & 7 (4$^7$ + 4$^7$)
* 18830 = weird number
* 18970 = weird number

### 19000 to 19999

* 19019 = square pyramidal number
* 19141 = unique prime in base 12
* 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 = 140$^2$, tetrahedral number
* 19601/13860 ≈ √2
* 19609 = first prime followed by a prime gap of over fifty
* 19670 = weird number
* 19683 = 27$^3$, 3$^9$. 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 $2\uparrow \uparrow 5$(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).