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 .
- 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 , 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 is a 2013 Christian album by Matt Redman.
- * "10,000 Reasons " 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 10009
- 10008 = 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 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 and 27
- 10143 = number of partitions of 33
- 10176 = 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 cubes
- 11083 = palindromic prime in 2 consecutive bases: 23 and 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.
- 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
- 11842 = 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 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 = 233
- 12172 = number of triangle-free graphs on 10 vertices
- 12198 = semi-meandric number
- 12251 = number of primes
- 12285 = amicable number with 14595
- 12287 = Thabit number
- 12288 = 3-smooth number.
- 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 QI as the smallest uninteresting positive integer regarding arithmetical mathematics
- 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.
- 13131 = octahedral number
- 13244 = tetrahedral number
- 13267 = cuban prime
- 13331 = palindromic prime
- 13370 = weird number
- 13510 = weird number
- 13579 = contains the first 5 odd numbers in ascending order
- 13581 = Padovan number
- 13648 = number of 20-bead necklaces 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
- 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
- 15610 = weird number
- 15625 = 1252 = 253 = 56
- 15629 = Friedman prime
- 15640 = initial number of only four-, five-, or six-digit century to contain two prime quadruples
- 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
- 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
- 17344 = Kaprekar number
- 17389 = 2000th prime number
- 17471 = palindromic prime
- 17496 = 3-smooth number
- 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 17296
- 18432 = 3-smooth number.
- 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
- 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 and then partition each cell 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 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 = 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 prime
- 19871 = octahedral number
- 19891 = palindromic prime
- 19927 = cuban prime
- 19991 = palindromic prime
Primes