900 (number)

Source: Wikipedia, the free encyclopedia.
← 899
900
901 →
Cardinalnine hundred
Ordinal900th
(nine hundredth)
Factorization22 × 32 × 52
Divisors1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greek numeralϠ´
Roman numeralCM
Binary11100001002
Ternary10201003
Senary41006
Octal16048
Duodecimal63012
Hexadecimal38416
ArmenianՋ
Hebrewתת"ק / ץ
Babylonian cuneiform𒌋𒐙
Egyptian hieroglyph𓍪

900 (nine hundred) is the

positive integers. In base 10 it is a Harshad number. It is also the first number to be the square of a sphenic number
.

In other fields

900 is also:

Integers from 901 to 999

900s

  • 901 = 17 × 53, centered triangular number, happy number
  • 902 = 2 × 11 × 41, sphenic number, nontotient, Harshad number
  • 903 = 3 × 7 × 43, sphenic number, triangular number,[3] Schröder–Hipparchus number, Mertens function (903) returns 0, little Schroeder number
  • 904 = 23 × 113 or 113 × 8, refactorable number, Mertens function(904) returns 0, lazy caterer number, number of 1's in all partitions of 26 into odd parts[4]
  • 905 = 5 × 181, sum of seven consecutive primes (109 + 113 + 127 + 131 + 137 + 139 + 149), smallest composite de Polignac number[5]
    • "The 905" is
      overlay plans
      added two more area codes.
  • 906 = 2 × 3 × 151,
    strobogrammatic
    , sphenic number, Mertens function(906) returns 0
  • 907 = prime number
  • 908 = 22 × 227, nontotient, number of primitive sorting networks on 6 elements,[6] number of rhombic tilings of a 12-gon [6]
  • 909 = 32 × 101, number of non-isomorphic aperiodic multiset partitions of weight 7 [7]

910s

920s

930s

940s

  • 940 = 22 × 5 × 47, totient sum for first 55 integers
  • 941 = prime number, sum of three consecutive primes (311 + 313 + 317), sum of five consecutive primes (179 + 181 + 191 + 193 + 197), Chen prime, Eisenstein prime with no imaginary part
  • 942 = 2 × 3 × 157, sphenic number, sum of four consecutive primes (229 + 233 + 239 + 241), nontotient, convolved Fibonacci number [31]
  • 943 = 23 × 41
  • 944 = 24 × 59, nontotient, Lehmer-Comtet number[32]
  • 945 = 33 × 5 × 7,
    primitive semiperfect number;[36] Leyland number[37]
  • 946 = 2 × 11 × 43, sphenic number, triangular number,[3] hexagonal number,[38] happy number
  • 947 = prime number, sum of seven consecutive primes (113 + 127 + 131 + 137 + 139 + 149 + 151),
    Eisenstein prime
    with no imaginary part
  • 948 = 22 × 3 × 79, nontotient, forms a Ruth–Aaron pair with 949 under second definition, number of combinatory separations of normal multisets of weight 6.[40]
  • 949 = 13 × 73, forms a Ruth–Aaron pair with 948 under second definition

950s

960s

  • 960 = 26 × 3 × 5, sum of six consecutive primes (149 + 151 + 157 + 163 + 167 + 173), Harshad number
    • country calling code for Maldives, ISBN Group Identifier for books published in Greece
    • The number of possible starting positions for the chess variant
      Chess960
  • 961 = 312, the largest 3-digit perfect square, sum of three consecutive primes (313 + 317 + 331), sum of five consecutive primes (181 + 191 + 193 + 197 + 199), centered octagonal number[51]
    • country calling code for Lebanon, ISBN Group Identifier for books published in Slovenia
  • 962 = 2 × 13 × 37, sphenic number, nontotient
    • country calling code for Jordan, one of two ISBN Group Identifiers for books published in Hong Kong
  • 963 = 32 × 107, sum of the first twenty-four primes
    • country calling code for Syria, ISBN Group Identifier for books published in Hungary
  • 964 = 22 × 241, sum of four consecutive primes (233 + 239 + 241 + 251), nontotient, totient sum for first 56 integers
    • country calling code for Iraq, ISBN Group Identifier for books published in Iran, happy number
  • 965 = 5 × 193
    • country calling code for Kuwait, ISBN Group Identifier for books published in Israel
  • 966 = 2 × 3 × 7 × 23 = , sum of eight consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137 + 139), Harshad number
    • country calling code for Saudi Arabia, one of two ISBN Group Identifiers for books published in Ukraine
  • 967 = prime number, prime index prime
    • country calling code for Yemen, one of two ISBN Group Identifiers for books published in Malaysia
  • 968 = 23 × 112, nontotient, Achilles number, area of a square with diagonal 44[52]
    • country calling code for Oman, one of two ISBN Group Identifiers for books published in Mexico
  • 969 = 3 × 17 × 19, sphenic number, nonagonal number,[53] tetrahedral number[54]

970s

  • 970 = 2 × 5 × 97, sphenic number, heptagonal number
    • country calling code for Palestinian territories, one of two ISBN Group Identifiers for books published in Mexico
  • 971 = prime number, Chen prime, Eisenstein prime with no imaginary part
    • country calling code for United Arab Emirates, ISBN Group Identifier for books published in the Philippines
  • 972 = 22 × 35, Harshad number, Achilles number
    • country calling code for Israel, one of two ISBN Group Identifiers for books published in Portugal
      • The Sum of Anti-Factors of 972 = number * (n/2) where n is an Odd number. So, it is a Hemi-Anti-Perfect Number. Other such Numbers include 2692, etc.

972 has Anti-Factors = 5, 8, 24, 29, 67, 72, 216, 389, 648

Sum of Anti-Factors = 5 + 8 + 24 + 29 + 67 + 72 + 216 + 389 + 648 = 1458 = 972 * 3/2

980s

990s

  • 990 = 2 × 32 × 5 × 11, sum of six consecutive primes (151 + 157 + 163 + 167 + 173 + 179), triangular number,[3] Harshad number
  • 991 = prime number, sum of five consecutive primes (191 + 193 + 197 + 199 + 211), sum of seven consecutive primes (127 + 131 + 137 + 139 + 149 + 151 + 157), Chen prime, lucky prime, prime index prime
  • 992 = 25 × 31, pronic number,[23] nontotient; number of eleven-dimensional exotic spheres.[68]
    • country calling code for Tajikistan
  • 993 = 3 × 331
    • country calling code for Turkmenistan
  • 994 = 2 × 7 × 71, sphenic number, nontotient, number of binary words of length 13 with all distinct runs.[69]
    • country calling code for Azerbaijan
  • 995 = 5 × 199
    • country calling code for Georgia
    • Singapore fire brigade and emergency ambulance services hotline, Brunei Darussalam fire service emergency number
  • 996 = 22 × 3 × 83
    • country calling code for Kyrgyzstan
  • 997 = largest three-digit prime number, strictly non-palindromic number.
    lucky prime
    .
  • 998 = 2 × 499, nontotient, number of 7-node graphs with two connected components.[70]
    • country calling code for Uzbekistan

References

  1. ^ "Pay-Per-Call Information Services". Federal Communications Commission. 2011-02-11. Retrieved 2021-03-31.
  2. ^ "Bowler throws 36 consecutive strikes for incredible 900 series". For The Win. 2016-01-13. Retrieved 2021-03-31.
  3. ^ a b c "Sloane's A000217 : Triangular numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A036469 (Partial sums of A000009 (partitions into distinct parts))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ "Sloane's A098237: Composite de Polignac numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-10.
  6. ^ a b Sloane, N. J. A. (ed.). "Sequence A006245 (Number of primitive sorting networks on n elements; also number of rhombic tilings of a 2n-gon)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-24.
  7. ^ Sloane, N. J. A. (ed.). "Sequence A303546 (Number of non-isomorphic aperiodic multiset partitions of weight n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-24.
  8. ^ Sloane, N. J. A. (ed.). "Sequence A020492 (Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  9. ^ Sloane, N. J. A. (ed.). "Sequence A007716 (Number of polynomial symmetric functions of matrix of order n under separate row and column permutations)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  10. ^ a b c d e "Sloane's A006753 : Smith numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  11. ^ Sloane, N. J. A. (ed.). "Sequence A332834 (Number of compositions of n that are neither weakly increasing nor weakly decreasing)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-23.
  12. ^ "Sloane's A005282 : Mian-Chowla sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  13. ^ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  14. ^ "Sloane's A003215 : Hex (or centered hexagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  15. ^ Sloane, N. J. A. (ed.). "Sequence A055544 (Total number of nodes in all rooted trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-23.
  16. ^ Sloane, N. J. A. (ed.). "Sequence A301462 (Number of enriched r-trees of size n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-23.
  17. ^ Sloane, N. J. A. (ed.). "Sequence A030662 (Number of combinations of n things from 1 to n at a time, with repeats allowed)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-23.
  18. ^ "Sloane's A000984 : Central binomial coefficients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  19. ^ "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  20. ^ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  21. ^ "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  22. ^ "Sloane's A080076 : Proth primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  23. ^ a b "Sloane's A002378 : Oblong (or promic, pronic, or heteromecic) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  24. ^ Sloane, N. J. A. (ed.). "Sequence A319612 (Number of regular simple graphs spanning n vertices)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-23.
  25. ^ Sloane, N. J. A. (ed.). "Sequence A295193 (Number of regular simple graphs on n labeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-22.
  26. ^ "Sloane's A006972 : Lucas-Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  27. ^ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  28. ^ "Sloane's A003154 : Centered 12-gonal numbers. Also star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  29. ^ Sloane, N. J. A. (ed.). "Sequence A018808 (Number of lines through at least 2 points of an n X n grid of points)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-22.
  30. ^ Sloane, N. J. A. (ed.). "Sequence A161206 (V-toothpick (or honeycomb) sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  31. ^ Sloane, N. J. A. (ed.). "Sequence A001628 (Convolved Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  32. ^ Sloane, N. J. A. (ed.). "Sequence A005727". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  33. ^ "Sloane's A006882 : Double factorials". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  34. .
  35. ^ "Sloane's A006038 : Odd primitive abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  36. ^ "Sloane's A006036 : Primitive pseudoperfect numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  37. ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  38. ^ "Sloane's A000384 : Hexagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  39. ^ a b "Sloane's A006562 : Balanced primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  40. ^ Sloane, N. J. A. (ed.). "Sequence A269134 (Number of combinatory separations of normal multisets of weight n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-13.
  41. ^ Sloane, N. J. A. (ed.). "Sequence A001318 (Generalized pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  42. ^ "Sloane's A005891 : Centered pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  43. ^ Sloane, N. J. A. (ed.). "Sequence A162328 (Number of reduced words of length n in the Weyl group D_17)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-12.
  44. ^ Sloane, N. J. A. (ed.). "Sequence A007678 (Number of regions in regular n-gon with all diagonals drawn.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-13.
  45. ^ "Sloane's A005384 : Sophie Germain primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  46. ^ "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  47. ^ Sloane, N. J. A. (ed.). "Sequence A179230". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-12.
  48. ^ (sequence A023359 in the OEIS)
  49. ^ Sloane, N. J. A. (ed.). "Sequence A024816 (Antisigma(n): Sum of the numbers less than n that do not divide n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-11.
  50. ^ "Sloane's A098237: Composite de Polignac numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-10.
  51. ^ "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  52. ^ Sloane, N. J. A. (ed.). "Sequence A001105". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  53. ^ "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  54. ^ "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  55. ^ "A002982: Numbers n such that n! - 1 is prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-10.
  56. ^ "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  57. ^ "Sloane's A042978 : Stern primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  58. ^ a b c "Sloane's A016038 : Strictly non-palindromic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  59. ^ Sloane, N. J. A. (ed.). "Sequence A004148 (Generalized Catalan numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  60. ^ "A008793". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-10.
  61. ^ "Sloane's A005385 : Safe primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  62. ^ "Sloane's A001190 : Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  63. ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  64. ^ "Sloane's A000129 : Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  65. ^ Sloane, N. J. A. (ed.). "Sequence A006330 (Number of corners, or planar partitions of n with only one row and one column)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  66. ^ "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  67. ^ "Sloane's A0217719 : Extra strong Lucas pseudoprimes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  68. ^ "week164". Math.ucr.edu. 2001-01-13. Retrieved 2014-05-12.
  69. ^ "A351016". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-10.
  70. ^ "A275165". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-10.
  71. ^ "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.