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

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 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

  • 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

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.