900 (nine hundred) is the natural number following 899 and preceding 901.
Contents
In mathematics
It is the square of 30 and the sum of Euler's totient function for the first 54 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:
In Greek number symbols, the sign Sampi ("ϡ", literally "like a pi")
A skateboarding trick in which the skateboarder spins two and a half times (360 degrees times 2.5 is 900)
A 900 series refers to three consecutive perfect games in bowling
Yoda's age in Star Wars
Integers from 901 to 999
900s
901 = 17 × 53. It is a centered triangular number and a happy number.
902 = 2 × 11 × 41. It is a sphenic number, a nontotient, and a Harshad number.
903 = 3 × 7 × 43. It is a sphenic number, a little Schroeder number, a Schröder–Hipparchus number, a zero of Mertens function, and the 42nd triangular number.
904 = 23 × 113. It is a refactorable number, a lazy caterer number, and a zero of Mertens function. There are 904 1's in all partitions of 26 into odd parts.
905 = 5 × 181. It is the smallest composite de Polignac number and the sum of seven consecutive primes (109 + 113 + 127 + 131 + 137 + 139 + 149).
"The 905" is a common nickname for the suburban portions of the Greater Toronto Area in Canada, a region whose telephones used area code 905 before overlay plans added two more area codes.
906 = 2 × 3 × 151. It is a strobogrammatic number, a sphenic number, and a zero of Mertens function.
907 is a prime number.
908 = 22 × 227. It is a nontotient. There are 908 primitive sorting networks on 6 elements. There are 908 rhombic tilings of a 12-gon.
909 = 32 × 101. There are 909 non-isomorphic aperiodic multiset partitions of weight 7.
910s
910 = 2 × 5 × 7 × 13. It is a Harshad number, a happy number, a zreo of Mertens function, and a balanced number. There are 910 polynomial symmetric functions of matrix of order 7 under separate row and column permutations.
911 is a prime number, a Sophie Germain prime, an Eisenstein prime with no imaginary part and real part of the form
3
n
−
1
{\displaystyle 3n-1}
, and the sum of three consecutive primes (293 + 307 + 311). Since 913 is a semiprime, 911 is a Chen prime.
911 a centered decagonal number.
There are 911 inverse semigroups of order 7 (sequence A001428 in the OEIS)
911 is obtained by concatenating its product of digits and sum of digits.
911 can be a short form of referring to the terrorist attack in the United States in 2001.
912 = 24 × 3 × 19. It is a Harshad number, the sum of four consecutive primes (223 + 227 + 229 + 233), and the sum of ten consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109).
913 = 11 × 83. It is a Smith number and a zero of Mertens function.
914 = 2 × 457. It is a nontotient. There are 914 compositions of 11 that are neither weakly increasing nor weakly decreasing.
915 = 3 × 5 × 61. It is a sphenic number, a Smith number, a Harshad number, and a zero of Mertens function.
920s
920 = 23 × 5 × 23. It is a zero of Mertens function. There are a total of 920 nodes in all rooted trees with 8 nodes.
921 = 3 × 307. There are 921 enriched r-trees of size 7.
922 = 2 × 461. It is a nontotient and a Smith number.
923 = 13 × 71. There are 923 combinations of 6 things from 1 to 6 at a time.
924 = 22 × 3 × 7 × 11. It is the sum of a twin prime (461 + 463), central binomial coefficient
(
12
6
)
{\displaystyle {\tbinom {12}{6}}}
.
925 = 52 × 37. It is a pentagonal number and a centered square number.
925 is the millesimal fineness number for Sterling silver.
926 = 2 × 463. It is a nontotient and the sum of six consecutive primes (139 + 149 + 151 + 157 + 163 + 167).
927 = 32 × 103. It is a tribonacci number.
928 = 25 × 29. It is a happy number, the sum of four consecutive primes (227 + 229 + 233 + 239), and the sum of eight consecutive primes (101 + 103 + 107 + 109 + 113 + 127 + 131 + 137).
929 is a prime number, a Proth prime, a palindromic prime, an Eisenstein prime with no imaginary part, and the sum of nine consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127).
930s
930 = 2 × 3 × 5 × 31. It is a pronic number.
931 = 72 × 19. It is the sum of three consecutive primes (307 + 311 + 313). It is a repdigit in two different bases 11130 and 77711. There are 931 regular simple graphs spanning 7 vertices.
932 = 22 × 233. There are 932 regular simple graphs on 7 labeled nodes.
933 = 3 × 311.
934 = 2 × 467. It is a nontotient.
935 = 5 × 11 × 17. It is a sphenic number, a Lucas–Carmichael number, and a Harshad number.
936 = 23 × 32 × 13. It is a pentagonal pyramidal number and a Harshad number.
937 is a prime number, a Chen prime, a star number, and a happy number.
938 = 2 × 7 × 67. It is a sphenic number and a nontotient. There are 938 lines through at least 2 points of an 8 × 8 grid of points.
939 = 3 × 313. There are 939 V-toothpicks after 31 rounds of the honeycomb sequence.
940s
940 = 22 × 5 × 47. It is the totient sum for the first 55 integers.
941 is a prime number, a Chen prime, and an Eisenstein prime with no imaginary part. It is the sum of three consecutive primes (311 + 313 + 317) and the sum of five consecutive primes (179 + 181 + 191 + 193 + 197).
942 = 2 × 3 × 157. It is a sphenic number, a convolved Fibonacci number, a nontotient, and the sum of four consecutive primes (229 + 233 + 239 + 241).
943 = 23 × 41.
944 = 24 × 59. It is a nontotient and a Lehmer-Comtet number.
945 = 33 × 5 × 7. It is a Leyland number, the smallest odd abundant number, the smallest odd primitive abundant number, and the smallest odd primitive semiperfect number. 945 is the double factorial of 9: 945 = 9!!.
946 = 2 × 11 × 43. It is a sphenic number, a hexagonal number, a happy number, and the 43rd triangular number.
947 is a prime number, a balanced prime, a Chen prime, a lazy caterer number, an Eisenstein prime with no imaginary part, and the sum of seven consecutive primes (113 + 127 + 131 + 137 + 139 + 149 + 151).
948 = 22 × 3 × 79. It is a nontotient. It forms a Ruth–Aaron pair with 949 under the second definition. There are 948 combinatory separations of normal multisets of weight 6.
949 = 13 × 73. It forms a Ruth–Aaron pair with 948 under the second definition.
950s
950 = 2 × 52 × 19. It is a nontotient and a generalized pentagonal number.
951 = 3 × 317. It is a centered pentagonal number.
952 = 23 × 7 × 17. There are 952 reduced words of length 3 in the Weyl group D_17. There are 952 regions in regular tetradecagon with all diagonals drawn.
953 is a prime number, a Sophie Germain prime, a Chen prime, an Eisenstein prime with no imaginary part, and a centered heptagonal number.
954 = 2 × 32 × 53. It is a nontotient, a Harshad number, and the sum of ten consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113). It is sixth derivative of x^(x^x) evaluated at x=1.
955 = 5 × 191. There are 955 transitive rooted trees with 17 nodes.
956 = 22 × 239. There are 956 compositions of 13 into powers of 2.
957 = 3 × 11 × 29 = antisigma(45). It is a sphenic number.
958 = 2 × 479. It is a nontotient and a Smith number.
It is the millesimal fineness number for Britannia silver
959 = 7 × 137. It is a composite de Polignac number.
960s
960 = 26 × 3 × 5. It is aHarshad number and the sum of six consecutive primes (149 + 151 + 157 + 163 + 167 + 173).
There are 960 possible starting positions for the chess variant Chess960.
961 = 312. It is the largest 3-digit perfect square and a centered octagonal number. It is the sum of three consecutive primes (313 + 317 + 331) and the sum of five consecutive primes (181 + 191 + 193 + 197 + 199).
962 = 2 × 13 × 37. It is a sphenic number and a nontotient.
963 = 32 × 107. It is the sum of the first 24 primes.
964 = 22 × 241. It is a happy number, a nontotient, the totient sum of the first 56 integers, and the sum of four consecutive primes (233 + 239 + 241 + 251).
965 = 5 × 193.
966 = 2 × 3 × 7 × 23 =
{
8
3
}
{\displaystyle \left\{{8 \atop 3}\right\}}
. It is a Harshad number and the sum of eight consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137 + 139).
967 is a prime number and a prime index prime.
968 = 23 × 112. It is a nontotient and an Achilles number.
969 = 3 × 17 × 19. It is a sphenic number, a nonagonal number, and a tetrahedral number.
970s
970 = 2 × 5 × 97. It is a sphenic number and a heptagonal number.
971 is a prime number, an emirp, a Chen prime, and an Eisenstein prime with no imaginary part.
972 = 22 × 35. It is a Harshad number and an Achilles number.
972 has Anti-Factors = 5, 8, 24, 29, 67, 72, 216, 389, 648
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.
Sum of Anti-Factors = 5 + 8 + 24 + 29 + 67 + 72 + 216 + 389 + 648 = 1458 = 972 * 3/2
973 = 7 × 139. It is a happy number.
974 = 2 × 487. It is a nontotient.
974! - 1 is prime.
975 = 3 × 52 × 13.
976 = 24 × 61. It is a decagonal number.
977 is a prime number, a balanced prime, a Chen prime, an Eisenstein prime with no imaginary part, a Stern prime, and the sum of nine consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131). It is a strictly non-palindromic number.
978 = 2 × 3 × 163. It is a sphenic number and a nontotient.
There are 978 secondary structures of RNA molecules with 11 nucleotides.
979 = 11 × 89. It is the sum of the five smallest fourth powers:
980s
980 = 22 × 5 × 72. There are 980 ways to tile a hexagon of edge 3 with calissons of side 1.
981 = 32 × 109.
982 = 2 × 491.
983 is a prime number, a safe prime, a Chen prime, and an Eisenstein prime with no imaginary part. It is a Wedderburn–Etherington number and a strictly non-palindromic number.
984 = 23 × 3 × 41.
985 = 5 × 197. It is a Markov number, a Pell number, a Smith number, and the sum of three consecutive primes (317 + 331 + 337).
986 = 2 × 17 × 29. It is a sphenic number, a strobogrammatic number, and a nontotient. There are 986 unimodal compositions of 14 where the maximal part appears once.
987 = 3 × 7 × 47. It is a deficient number, a sphenic number, and the 16th number of the Fibonacci sequence. There are 987 partitions of 52 into prime parts.
988 = 22 × 13 × 19. It is a nontotient, a cake number, and the sum of four consecutive primes (239 + 241 + 251 + 257).
989 = 23 × 43. It is an extra strong Lucas pseudoprime.
990s
990 = 2 × 32 × 5 × 11. It is a Harshad number, the 44th triangular number, and the sum of six consecutive primes (151 + 157 + 163 + 167 + 173 + 179).
The highest possible VantageScore credit score is 990.
991 is a prime number, a Chen prime, a lucky prime, and a prime index prime. It is the sum of five consecutive primes (191 + 193 + 197 + 199 + 211) and the sum of seven consecutive primes (127 + 131 + 137 + 139 + 149 + 151 + 157).
992 = 25 × 31. It is a pronic number and a nontotient. There are 992 eleven-dimensional exotic spheres.
993 = 3 × 331.
994 = 2 × 7 × 71. It is a sphenic number and a nontotient. There are 994 binary words of length 13 with all distinct runs.
995 = 5 × 199.
996 = 22 × 3 × 83.
997 is the largest three-digit prime number, a lucky prime, and a strictly non-palindromic number.
998 = 2 × 499. It is a nontotient. There are 998 7-node graphs with two connected components.
999 = 33 × 37. It is a Kaprekar number and a Harshad number.
In many video games, 999 is the maximum score that can be displayed.