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900 (number)

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← 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 thenatural numberfollowing899and preceding901.It is thesquareof30and the sum ofEuler's totient functionfor the first 54positive integers.In base 10 it is aHarshad number.It is also the first number to be the square of asphenic number.

In other fields

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900is also:

Integers from 901 to 999

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900s

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910s

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  • 910 = 2 × 5 × 7 × 13, Mertens function(910) returns 0, Harshad number,happy number,balanced number,[8]number of polynomial symmetric functions of matrix of order 7 under separate row and column permutations[9]
  • 911=Sophie Germainprime number, also theemergency telephone numberin North America
  • 912 = 24× 3 × 19, sum of four consecutive primes (223 + 227 + 229 + 233), sum of ten consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109), Harshad number.
  • 913 = 11 × 83,Smith number,[10]Mertens function(913) returns 0.
  • 914 = 2 × 457, nontotient, number of compositions of 11 that are neither weakly increasing nor weakly decreasing[11]
  • 915 = 3 × 5 × 61, sphenic number, Smith number,[10]Mertens function(915) returns 0, Harshad number
  • 916 = 22× 229, Mertens function(916) returns 0, nontotient,strobogrammatic,member of theMian–Chowla sequence[12]
  • 917 = 7 × 131, sum of five consecutive primes (173 + 179 + 181 + 191 + 193)
  • 918 = 2 × 33× 17, Harshad number
  • 919 = prime number,cuban prime,[13]prime index prime,Chen prime,palindromic prime,centered hexagonal number,[14]Mertens function(919) returns 0

920s

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930s

[edit]
  • 930 = 2 × 3 × 5 × 31,pronic number[23]
  • 931 = 72× 19; sum of three consecutive primes (307 + 311 + 313); doublerepdigit,11130and 77711;number of regular simple graphs spanning 7 vertices[24]
  • 932 = 22× 233, number of regular simple graphs on 7 labeled nodes[25]
  • 933 = 3 × 311
  • 934 = 2 × 467, nontotient
  • 935 = 5 × 11 × 17, sphenic number,Lucas–Carmichael number,[26]Harshad number
  • 936 = 23× 32× 13,pentagonal pyramidal number,[27]Harshad number
  • 937 = prime number, Chen prime,star number,[28]happy number
  • 938 = 2 × 7 × 67, sphenic number, nontotient, number of lines through at least 2 points of an 8 × 8 grid of points[29]
  • 939 = 3 × 313, number of V-toothpicks after 31 rounds of the honeycomb sequence[30]

940s

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950s

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  • 950 = 2 × 52× 19, nontotient,generalized pentagonal number[41]
  • 951 = 3 × 317,centered pentagonal number[42]
    • one of two ISBN Group Identifiers for books published in Finland
  • 952 = 23× 7 × 17, number of reduced words of length 3 in the Weyl group D_17,[43]number of regions in regular tetradecagon with all diagonals drawn.[44]
    • 952 is also9-5-2,acard gamesimilar tobridge.
    • one of two ISBN Group Identifiers for books published in Finland
  • 953 = prime number, Sophie Germain prime,[45]Chen prime, Eisenstein prime with no imaginary part,centered heptagonal number[46]
    • ISBN Group Identifier for books published inCroatia
  • 954 = 2 × 32× 53, sum of ten consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), nontotient, Harshad number, sixth derivative of x^(x^x) at x=1.[47]
  • 955 = 5 × 191, number of transitive rooted trees with 17 nodes
    • ISBN Group Identifier for books published in Sri Lanka
  • 956 = 22× 239, number of compositions of 13 into powers of 2.[48]
    • ISBN Group Identifier for books published in Chile
  • 957 = 3 × 11 × 29, sphenic number, antisigma(45)[49]
    • one of two ISBN Group Identifiers for books published in Taiwan and China
  • 958 = 2 × 479, nontotient,Smith number[10]
  • 959 = 7 × 137, composite de Polignac number[50]
    • ISBN Group Identifier for books published in Cuba

960s

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  • 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 variantChess960
  • 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 inSlovenia
  • 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

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  • 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

  • 973 = 7 × 139,happy number
    • country calling code for Bahrain, ISBN Group Identifier for books published in Romania,
  • 974 = 2 × 487, nontotient, 974! - 1 is prime[55]
    • country calling code for Qatar, ISBN Group Identifier for books published in Thailand
  • 975 = 3 × 52× 13
    • country calling code for Bhutan, ISBN Group Identifier for books published in Turkey
  • 976 = 24× 61,decagonal number[56]
  • 977 = prime number, sum of nine consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131), balanced prime,[39]Chen prime, Eisenstein prime with no imaginary part,Stern prime,[57]strictly non-palindromic number[58]
    • country calling code for Nepal
    • EANprefix forISSNs
    • ISBN Group Identifier for books published inEgypt
  • 978 = 2 × 3 × 163, sphenic number, nontotient, number of secondary structures of RNA molecules with 11 nucleotides[59]
    • FirstEANprefix for ISBNs
    • ISBN Group Identifier for books published inNigeria
  • 979 = 11 × 89, the sum of the five smallest fourth powers:
    • SecondEANprefix for ISBNs. Also for ISMNs
    • ISBN Group Identifier for books published inIndonesia

980s

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990s

[edit]
  • 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-dimensionalexotic 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 Darussalamfire service emergency number
  • 996 = 22× 3 × 83
    • country calling code for Kyrgyzstan
  • 997 = largest three-digit prime number, strictly non-palindromic number.[58]It is also alucky prime.
  • 998 = 2 × 499, nontotient, number of 7-node graphs with two connected components.[70]
    • country calling code for Uzbekistan

References

[edit]
  1. ^"Pay-Per-Call Information Services".Federal Communications Commission.2011-02-11.Retrieved2021-03-31.
  2. ^"Bowler throws 36 consecutive strikes for incredible 900 series".For The Win.2016-01-13.Retrieved2021-03-31.
  3. ^abc"Sloane's A000217: Triangular numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  4. ^Sloane, N. J. A.(ed.)."Sequence A036469 (Partial sums of A000009 (partitions into distinct parts))".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  5. ^"Sloane's A098237: Composite de Polignac numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-10.
  6. ^abSloane, N. J. A.(ed.)."Sequence A006245 (Number of primitive sorting networks on n elements; also number of rhombic tilings of a 2n-gon)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-24.
  7. ^Sloane, N. J. A.(ed.)."Sequence A303546 (Number of non-isomorphic aperiodic multiset partitions of weight n)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-24.
  8. ^Sloane, N. J. A.(ed.)."Sequence A020492 (Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203))".TheOn-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)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  10. ^abcde"Sloane's A006753: Smith numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  11. ^Sloane, N. J. A.(ed.)."Sequence A332834 (Number of compositions of n that are neither weakly increasing nor weakly decreasing)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-23.
  12. ^"Sloane's A005282: Mian-Chowla sequence".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  13. ^"Sloane's A002407: Cuban primes".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  14. ^"Sloane's A003215: Hex (or centered hexagonal) numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  15. ^Sloane, N. J. A.(ed.)."Sequence A055544 (Total number of nodes in all rooted trees with n nodes)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-23.
  16. ^Sloane, N. J. A.(ed.)."Sequence A301462 (Number of enriched r-trees of size n)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-23.
  17. ^Sloane, N. J. A.(ed.)."Sequence A030662 (Number of combinations of n things from 1 to n at a time, with repeats allowed)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-23.
  18. ^"Sloane's A000984: Central binomial coefficients".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  19. ^"Sloane's A000326: Pentagonal numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  20. ^"Sloane's A001844: Centered square numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  21. ^"Sloane's A000073: Tribonacci numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  22. ^"Sloane's A080076: Proth primes".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  23. ^ab"Sloane's A002378: Oblong (or promic, pronic, or heteromecic) numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  24. ^Sloane, N. J. A.(ed.)."Sequence A319612 (Number of regular simple graphs spanning n vertices)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-23.
  25. ^Sloane, N. J. A.(ed.)."Sequence A295193 (Number of regular simple graphs on n labeled nodes)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-22.
  26. ^"Sloane's A006972: Lucas-Carmichael numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  27. ^"Sloane's A002411: Pentagonal pyramidal numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  28. ^"Sloane's A003154: Centered 12-gonal numbers. Also star numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  29. ^Sloane, N. J. A.(ed.)."Sequence A018808 (Number of lines through at least 2 points of an n X n grid of points)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-22.
  30. ^Sloane, N. J. A.(ed.)."Sequence A161206 (V-toothpick (or honeycomb) sequence)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  31. ^Sloane, N. J. A.(ed.)."Sequence A001628 (Convolved Fibonacci numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  32. ^Sloane, N. J. A.(ed.)."Sequence A005727".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  33. ^"Sloane's A006882: Double factorials".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  34. ^Higgins, Peter (2008).Number Story: From Counting to Cryptography.New York: Copernicus. p.13.ISBN978-1-84800-000-1.
  35. ^"Sloane's A006038: Odd primitive abundant numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  36. ^"Sloane's A006036: Primitive pseudoperfect numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  37. ^"Sloane's A076980: Leyland numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  38. ^"Sloane's A000384: Hexagonal numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  39. ^ab"Sloane's A006562: Balanced primes".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  40. ^Sloane, N. J. A.(ed.)."Sequence A269134 (Number of combinatory separations of normal multisets of weight n)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-13.
  41. ^Sloane, N. J. A.(ed.)."Sequence A001318 (Generalized pentagonal numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  42. ^"Sloane's A005891: Centered pentagonal numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  43. ^Sloane, N. J. A.(ed.)."Sequence A162328 (Number of reduced words of length n in the Weyl group D_17)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-12.
  44. ^Sloane, N. J. A.(ed.)."Sequence A007678 (Number of regions in regular n-gon with all diagonals drawn.)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-13.
  45. ^"Sloane's A005384: Sophie Germain primes".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  46. ^"Sloane's A069099: Centered heptagonal numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  47. ^Sloane, N. J. A.(ed.)."Sequence A179230".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-12.
  48. ^(sequenceA023359in theOEIS)
  49. ^Sloane, N. J. A.(ed.)."Sequence A024816 (Antisigma(n): Sum of the numbers less than n that do not divide n)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-05-11.
  50. ^"Sloane's A098237: Composite de Polignac numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-10.
  51. ^"Sloane's A016754: Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  52. ^Sloane, N. J. A.(ed.)."Sequence A001105".TheOn-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.Retrieved2016-06-11.
  54. ^"Sloane's A000292: Tetrahedral numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  55. ^"A002982: Numbers n such that n! - 1 is prime".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-10.
  56. ^"Sloane's A001107: 10-gonal (or decagonal) numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  57. ^"Sloane's A042978: Stern primes".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  58. ^abc"Sloane's A016038: Strictly non-palindromic numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  59. ^Sloane, N. J. A.(ed.)."Sequence A004148 (Generalized Catalan numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  60. ^"A008793".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-10.
  61. ^"Sloane's A005385: Safe primes".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  62. ^"Sloane's A001190: Wedderburn-Etherington numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  63. ^"Sloane's A002559: Markoff (or Markov) numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  64. ^"Sloane's A000129: Pell numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  65. ^Sloane, N. J. A.(ed.)."Sequence A006330 (Number of corners, or planar partitions of n with only one row and one column)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  66. ^"Sloane's A000045: Fibonacci numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  67. ^"Sloane's A0217719: Extra strong Lucas pseudoprimes".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-11.
  68. ^"week164".Math.ucr.edu. 2001-01-13.Retrieved2014-05-12.
  69. ^"A351016".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-10.
  70. ^"A275165".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-05-10.
  71. ^"Sloane's A006886: Kaprekar numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-06-02.