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800 number : ウィキペディア英語版
800 number

800 (eight hundred) is the natural number following 799 and preceding 801.
It is the sum of four consecutive primes (193 + 197 + 199 + 211). It is a Harshad number.
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801 = 32 × 89, Harshad number
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802 = 2 × 401, sum of eight consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), nontotient, happy number
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803 = 11 × 73, sum of three consecutive primes (263 + 269 + 271), sum of nine consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), Harshad number
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804 = 22 × 3 × 67, nontotient, Harshad number
* "The 804" is a local nickname for the Greater Richmond Region of the U.S. state of Virginia, derived from its telephone area code (although the area code covers a larger area).
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805 = 5 × 7 × 23
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806 = 2 × 13 × 31, sphenic number, nontotient, totient sum for first 51 integers, happy number
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807 = 3 × 269
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808 = 23 × 101, strobogrammatic number
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809 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part
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810 = 2 × 34 × 5, Harshad number
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811 prime number, sum of five consecutive primes (151 + 157 + 163 + 167 + 173), Chen prime, happy number, the Mertens function of 811 returns 0
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812 = 22 × 7 × 29, pronic number, the Mertens function of 812 returns 0
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813 = 3 × 271
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814 = 2 × 11 × 37, sphenic number, the Mertens function of 814 returns 0, nontotient
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815 = 5 × 163
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816 = 24 × 3 × 17, tetrahedral number, Padovan number, Zuckerman number
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817 = 19 × 43, sum of three consecutive primes (269 + 271 + 277), centered hexagonal number
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818 = 2 × 409, nontotient, strobogrammatic number
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819 = 32 × 7 × 13, square pyramidal number
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820 = 22 × 5 × 41, triangular number, Harshad number, happy number, repdigit (1111) in base 9
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821 prime number, twin prime, Eisenstein prime with no imaginary part, prime quadruplet with 823, 827, 829
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822 = 2 × 3 × 137, sum of twelve consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), sphenic number, member of the Mian–Chowla sequence
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823 prime number, twin prime, the Mertens function of 823 returns 0, prime quadruplet with 821, 827, 829
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824 = 23 × 103, sum of ten consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103), the Mertens function of 824 returns 0, nontotient
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825 = 3 × 52 × 11, Smith number, the Mertens function 825 returns 0, Harshad number
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826 = 2 × 7 × 59, sphenic number
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827 prime number, twin prime, part of prime quadruplet with , sum of seven consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137), Chen prime, Eisenstein prime with no imaginary part, strictly non-palindromic number
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828 = 22 × 32 × 23, Harshad number
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829 prime number, twin prime, part of prime quadruplet with , sum of three consecutive primes (271 + 277 + 281), Chen prime
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830 = 2 × 5 × 83, sphenic number, sum of four consecutive primes (197 + 199 + 211 + 223), nontotient, totient sum for first 52 integers
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831 = 3 × 277
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832 = 26 × 13, Harshad number
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833 = 72 × 17
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834 = 2 × 3 × 139, sphenic number, sum of six consecutive primes (127 + 131 + 137 + 139 + 149 + 151), nontotient
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835 = 5 × 167, Motzkin number
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836 = 22 × 11 × 19, weird number
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837 = 33 × 31
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838 = 2 × 419
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839 prime number, safe prime, sum of five consecutive primes (157 + 163 + 167 + 173 + 179), Chen prime, Eisenstein prime with no imaginary part, highly cototient number
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840 = 23 × 3 × 5 × 7, highly composite number, smallest numbers divisible by the numbers 1 to 8 (lowest common multiple of 1 to 8), sparsely totient number, Harshad number in base 2 through base 10
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841 = 292 = 202 + 212, sum of three consecutive primes (277 + 281 + 283), sum of nine consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109), centered square number, centered heptagonal number, centered octagonal number
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842 = 2 × 421, nontotient
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843 = 3 × 281, Lucas number
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844 = 22 × 211, nontotient
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845 = 5 × 132
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846 = 2 × 32 × 47, sum of eight consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113 + 127), nontotient, Harshad number
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847 = 7 × 112, happy number
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848 = 24 × 53
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849 = 3 × 283, the Mertens function of 849 returns 0
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850 = 2 × 52 × 17, the Mertens function 850 returns 0, nontotient, the maximum possible Fair Isaac credit score, country calling code for North Korea
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851 = 23 × 37
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852 = 22 × 3 × 71, pentagonal number, Smith number
*country calling code for Hong Kong
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853 prime number, Perrin number, the Mertens function of 853 returns 0, average of first 853 prime numbers is an integer , strictly non-palindromic number, number of connected graphs with 7 nodes
*country calling code for Macau
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854 = 2 × 7 × 61, nontotient
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855 = 32 × 5 × 19, decagonal number, centered cube number
*country calling code for Cambodia
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856 = 23 × 107, nonagonal number, centered pentagonal number, happy number
*country calling code for Laos
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857 prime number, sum of three consecutive primes (281 + 283 + 293), Chen prime, Eisenstein prime with no imaginary part
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858 = 2 × 3 × 11 × 13, Giuga number
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859 prime number
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860 = 22 × 5 × 43, sum of four consecutive primes (199 + 211 + 223 + 227)
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861 = 3 × 7 × 41, sphenic number, triangular number, hexagonal number, Smith number
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862 = 2 × 431
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863 prime number, safe prime, sum of five consecutive primes (163 + 167 + 173 + 179 + 181), sum of seven consecutive primes (107 + 109 + 113 + 127 + 131 + 137 + 139), Chen prime, Eisenstein prime with no imaginary part
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864 = 25 × 33, sum of a twin prime (431 + 433), sum of six consecutive primes (131 + 137 + 139 + 149 + 151 + 157), Harshad number
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865 = 5 × 173,
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866 = 2 × 433, nontotient
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867 = 3 × 172
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868 = 22 × 7 × 31, nontotient
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869 = 11 × 79, the Mertens function 869 returns 0
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870 = 2 × 3 × 5 × 29, sum of ten consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), pronic number, nontotient, sparsely totient number, Harshad number
This number is the magic constant of ''n''×''n'' normal magic square and ''n''-queens problem for ''n'' = 12.
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871 = 13 × 67
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872 = 23 × 109, nontotient
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873 = 32 × 97, sum of the first six factorials from 1
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874 = 2 × 19 × 23, sum of the first twenty-three primes, sum of the first seven factorials from 0, nontotient, Harshad number, happy number
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875 = 53 × 7
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876 = 22 × 3 × 73
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877 prime number, Bell number, Chen prime, the Mertens function of 877 returns 0, strictly non-palindromic number.
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878 = 2 × 439, nontotient
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879 = 3 × 293
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880 = 24 × 5 × 11, Harshad number; 148-gonal number; the number of ''n''×''n'' magic squares for n = 4.
*country calling code for Bangladesh
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881 prime number, twin prime, sum of nine consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), Chen prime, Eisenstein prime with no imaginary part
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882 = 2 × 32 × 72, Harshad number, totient sum for first 53 integers
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883 prime number, twin prime, sum of three consecutive primes (283 + 293 + 307), the Mertens function of 883 returns 0, happy number
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884 = 22 × 13 × 17, the Mertens function 884 returns 0
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885 = 3 × 5 × 59, sphenic number
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886 = 2 × 443, the Mertens function of 886 returns 0
*country calling code for Taiwan
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887 prime number followed by primal gap of 20, safe prime, Chen prime, Eisenstein prime with no imaginary part
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888 = 23 × 3 × 37, sum of eight consecutive primes (97 + 101 + 103 + 107 + 109 + 113 + 127 + 131), Harshad number.
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889 = 7 × 127, the Mertens function of 889 returns 0
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890 = 2 × 5 × 89, sphenic number, sum of four consecutive primes (211 + 223 + 227 + 229), nontotient
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891 = 34 × 11, sum of five consecutive primes (167 + 173 + 179 + 181 + 191), octahedral number
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892 = 22 × 223, nontotient
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893 = 19 × 47, the Mertens function 893 returns 0
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894 = 2 × 3 × 149, sphenic number, nontotient
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895 = 5 × 179, Smith number, Woodall number, the Mertens function 895 returns 0
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896 = 27 × 7, sum of six consecutive primes (137 + 139 + 149 + 151 + 157 + 163), the Mertens function 896 returns 0
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897 = 3 × 13 × 23, sphenic number
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898 = 2 × 449, the Mertens function of 898 returns 0, nontotient
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899 = 29 × 31, happy number


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「800 number」の詳細全文を読む



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