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 time

In the arts

In other fields

Selected numbers in the range 10001-19999

10001 to 10999

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 yksikaksiseitsemänkuusiviisi, 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

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

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.