900 (number)

900 is the natural number following 899 and preceding 901. 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:

A telephone area code for "premium" telephone calls in the North American Numbering Plan
In Greek number symbols, the sign Sampi
A skateboarding trick in which the skateboarder spins two and a half times
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, centered triangular number, happy number
902 = 2 × 11 × 41, sphenic number, nontotient, Harshad number
903 = 3 × 7 × 43, sphenic number, 42nd triangular number, Schröder–Hipparchus number, Mertens function returns 0, little Schroeder number
904 = 2³ × 113 or 113 × 8, refactorable number, Mertens function returns 0, lazy caterer number, number of 1's in all partitions of 26 into odd parts
905 = 5 × 181, sum of seven consecutive primes, smallest composite de Polignac number
* "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, strobogrammatic, sphenic number, Mertens function returns 0
907 = prime number
908 = 2² × 227, nontotient, number of primitive sorting networks on 6 elements, number of rhombic tilings of a 12-gon
909 = 3² × 101, number of non-isomorphic aperiodic multiset partitions of weight 7

910s

910 = 2 × 5 × 7 × 13, Mertens function returns 0, Harshad number, happy number, balanced number, number of polynomial symmetric functions of matrix of order 7 under separate row and column permutations
911 = Sophie Germain primes|Sophie Germain] prime number, also the emergency telephone number in North America, and a short form for referring to the terrorist attack in the United States in 2001.
912 = 2⁴ × 3 × 19, sum of four consecutive primes, sum of ten consecutive primes, Harshad number.
913 = 11 × 83, Smith number, Mertens function returns 0.
914 = 2 × 457, nontotient, number of compositions of 11 that are neither weakly increasing nor weakly decreasing
915 = 3 × 5 × 61, sphenic number, Smith number, Mertens function returns 0, Harshad number
916 = 2² × 229, Mertens function returns 0, nontotient, strobogrammatic, member of the Mian–Chowla sequence
917 = 7 × 131, sum of five consecutive primes
918 = 2 × 3³ × 17, Harshad number
919 = prime number, cuban prime, prime index prime, Chen prime, palindromic prime, centered hexagonal number, Mertens function returns 0

920s

920 = 2³ × 5 × 23, Mertens function returns 0, total number of nodes in all rooted trees with 8 nodes
921 = 3 × 307, number of enriched r-trees of size 7
922 = 2 × 461, nontotient, Smith number
923 = 13 × 71, number of combinations of 6 things from 1 to 6 at a time
924 = 2² × 3 × 7 × 11, sum of a twin prime, central binomial coefficient
925 = 5² × 37, pentagonal number, centered square number
* The millesimal fineness number for Sterling silver
926 = 2 × 463, sum of six consecutive primes, nontotient
927 = 3² × 103, tribonacci number
928 = 2⁵ × 29, sum of four consecutive primes, sum of eight consecutive primes, happy number
929 = prime number, Proth prime, palindromic prime, sum of nine consecutive primes, Eisenstein prime with no imaginary part
* An area code in New York.
929 is the number of chapters in Tanakh, giving the name to 929: Tanakh B'yachad.

930s

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

940s

940 = 2² × 5 × 47, totient sum for first 55 integers
941 = prime number, sum of three consecutive primes, sum of five consecutive primes, Chen prime, Eisenstein prime with no imaginary part
942 = 2 × 3 × 157, sphenic number, sum of four consecutive primes, nontotient, convolved Fibonacci number
943 = 23 × 41
944 = 2⁴ × 59, nontotient, Lehmer-Comtet number
945 = 3³ × 5 × 7, double factorial of 9, smallest odd abundant number ; smallest odd primitive abundant number; smallest odd primitive semiperfect number; Leyland number
946 = 2 × 11 × 43, sphenic number, 43rd triangular number, hexagonal number, happy number
947 = prime number, sum of seven consecutive primes, balanced prime, Chen prime, lazy caterer number, 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.
949 = 13 × 73, forms a Ruth–Aaron pair with 948 under second definition

950s

950 = 2 × 5² × 19, nontotient, generalized pentagonal number
* one of two ISBN Group Identifiers for books published in Argentina
951 = 3 × 317, centered pentagonal number
* 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, number of regions in regular tetradecagon with all diagonals drawn.
* 952 is also 9-5-2, a card game similar to bridge.
* one of two ISBN Group Identifiers for books published in Finland
953 = prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered heptagonal number
* ISBN Group Identifier for books published in Croatia
954 = 2 × 3² × 53, sum of ten consecutive primes, nontotient, Harshad number, sixth derivative of x^ at x=1.
* ISBN Group Identifier for books published in Bulgaria. Also one of the Area Codes in the South Florida Area
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.
* ISBN Group Identifier for books published in Chile
957 = 3 × 11 × 29, sphenic number, antisigma
* one of two ISBN Group Identifiers for books published in Taiwan and China
958 = 2 × 479, nontotient, Smith number
* ISBN Group Identifier for books published in Colombia
* The millesimal fineness number for Britannia silver
959 = 7 × 137, composite de Polignac number
* ISBN Group Identifier for books published in Cuba

960s

960 = 2⁶ × 3 × 5, sum of six consecutive primes, 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, sum of five consecutive primes, centered octagonal number
* 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, 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 = [stirling numbers of the second kind|], sum of eight consecutive primes, 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
* country calling code for Oman, one of two ISBN Group Identifiers for books published in Mexico
969 = 3 × 17 × 19, sphenic number, nonagonal number, tetrahedral number
* ISBN Group Identifier for books published in Pakistan, age of Methuselah according to Old Testament, anti-Muslim movement in Myanmar

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
* 972 has Anti-Factors = 5, 8, 24, 29, 67, 72, 216, 389, 648
* The Sum of Anti-Factors of 972 = number * where n is an Odd number. So, it is a Hemi-Anti-Perfect Number. Other such Numbers include 2692, etc.
* The international calling code for Israel
* One of two ISBN Group Identifiers for books published in Portugal

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
* 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
* country calling code for Mongolia, ISBN Group Identifier for books published in Antigua, Bahamas, Barbados, Belize, Cayman Islands, Dominica, Grenada, Guyana, Jamaica, Montserrat, Saint Kitts and Nevis, St. Lucia, St. Vincent and the Grenadines, Trinidad and Tobago, and the British Virgin Islands
977 = prime number, sum of nine consecutive primes, balanced prime, Chen prime, Eisenstein prime with no imaginary part, Stern prime, strictly non-palindromic number
* country calling code for Nepal
* EAN prefix for ISSNs
* ISBN Group Identifier for books published in Egypt
978 = 2 × 3 × 163, sphenic number, nontotient, number of secondary structures of RNA molecules with 11 nucleotides
* First EAN prefix for ISBNs
* ISBN Group Identifier for books published in Nigeria
979 = 11 × 89, the sum of the five smallest fourth powers:
* Second EAN prefix for ISBNs. Also for ISMNs
* ISBN Group Identifier for books published in Indonesia

980s

980 = 2² × 5 × 7², number of ways to tile a hexagon of edge 3 with of side 1.
* ISBN Group Identifier for books published in Venezuela
981 = 3² × 109
* one of two ISBN Group Identifiers for books published in Singapore
982 = 2 × 491
* ISBN Group Identifier for books published in the Cook Islands, Fiji, Kiribati, Marshall Islands, Micronesia, Nauru, New Caledonia, Niue, Palau, Solomon Islands, Tokelau, Tonga, Tuvalu, Vanuatu, Western Samoa
983 = prime number, safe prime, Chen prime, Eisenstein prime with no imaginary part, Wedderburn–Etherington number, strictly non-palindromic number
* One of two ISBN Group Identifiers for books published in Malaysia
984 = 2³ × 3 × 41
* ISBN Group Identifier for books published in Bangladesh
985 = 5 × 197, sum of three consecutive primes, Markov number, Pell number, Smith number
* one of two ISBN Group Identifiers for books published in Belarus
986 = 2 × 17 × 29, sphenic number, nontotient, strobogrammatic, number of unimodal compositions of 14 where the maximal part appears once
* one of two ISBN Group Identifiers for books published in Taiwan and China
987 = 3 × 7 × 47, sphenic number, Fibonacci number, number of partitions of 52 into prime parts
* one of two ISBN Group Identifiers for books published in Argentina
988 = 2² × 13 × 19, nontotient. sum of four consecutive primes. A cake number.
* one of two ISBN Group Identifiers for books published in Hong Kong.
* the suicide prevention hotline in the United States
989 = 23 × 43, Extra strong Lucas pseudoprime
* one of two ISBN Group Identifiers for books published in Portugal

990s

990 = 2 × 3² × 5 × 11, sum of six consecutive primes, 44th triangular number, Harshad number
*best possible VantageScore credit score
991 = prime number, sum of five consecutive primes, sum of seven consecutive primes, Chen prime, lucky prime, prime index prime
992 = 2⁵ × 31, pronic number, nontotient; number of eleven-dimensional exotic spheres.
*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.
*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. It is also a lucky prime.
998 = 2 × 499, nontotient, number of 7-node graphs with two connected components.
*country calling code for Uzbekistan
999 = 3³ × 37, Kaprekar number, Harshad number
*In some parts of the world, such as the UK and Commonwealth countries, 999 is the emergency telephone number for all emergency services
*999 was a London punk band active during the 1970s.
*A number commonly associated with Juice WRLD