604 = 22 × 151,
nontotient, totient sum for first 44 integers, area code for southwestern British Columbia (Lower Mainland, Fraser Valley, Sunshine Coast and Sea to Sky)
613 = prime number, first number of
prime triple (p, p + 4, p + 6), middle number of
sexy prime triple (p − 6, p, p + 6). Geometrical numbers:
Centered square number with 18 per side,
circular number of 21 with a square grid and 27 using a triangular grid. Also 17-gonal. Hypotenuse of a right triangle with integral sides, these being 35 and 612. Partitioning: 613 partitions of 47 into non-factor primes, 613 non-squashing partitions into distinct parts of the number 54. Squares: Sum of squares of two consecutive integers, 17 and 18. Additional properties: a
lucky number, index of prime Lucas number.[9]
In
Judaism the number 613 is very significant, as its metaphysics, the
Kabbalah, views every complete entity as divisible into 613 parts: 613 parts of every
Sefirah;
613 mitzvot, or divine
Commandments in the
Torah; 613 parts of the human body.
614 = 2 × 307,
nontotient,
2-Knödel number. According to Rabbi
Emil Fackenheim, the number of Commandments in Judaism should be 614 rather than the traditional 613.
617 = prime number, sum of five consecutive primes (109 + 113 + 127 + 131 + 137),
Chen prime,
Eisenstein prime with no imaginary part, number of compositions of 17 into distinct parts,[11]prime index prime, index of prime Lucas number[9]
Area code 617, a telephone area code covering the metropolitan Boston area
620 = 22 × 5 × 31, sum of four consecutive primes (149 + 151 + 157 + 163), sum of eight consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), the sum of the first 620 primes is itself prime[14]
621 = 33 × 23, Harshad number, the discriminant of a totally real cubic field[15]
623 = 7 × 89, number of partitions of 23 into an even number of parts[16]
624 = 24 × 3 × 13 =
J4(5),[17] sum of a twin prime (311 + 313), Harshad number, Zuckerman number
625 = 252 = 54, sum of seven consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103),
centered octagonal number,[18] 1-
automorphic number,
Friedman number since 625 = 56−2,[19] one of the two three-digit numbers when squared or raised to a higher power that end in the same three digits, the other being
376
639 = 32 × 71, sum of the first twenty primes, also
ISO 639 is the
ISO's standard for codes for the representation of
languages
640s
640 = 27 × 5,
Harshad number,
refactorable number, hexadecagonal number,[33] number of 1's in all partitions of 24 into odd parts,[34] number of acres in a square mile
646 = 2 × 17 × 19, sphenic number, also
ISO 646 is the ISO's standard for international 7-bit variants of
ASCII, number of permutations of length 7 without rising or falling successions[40]
647 = prime number, sum of five consecutive primes (113 + 127 + 131 + 137 + 139), Chen prime, Eisenstein prime with no imaginary part, 3647 - 2647 is prime[41]
659 = prime number, Sophie Germain prime,[35] sum of seven consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107), Chen prime, Mertens function sets new low of −10 which stands until 661, highly cototient number,[22] Eisenstein prime with no imaginary part, strictly non-palindromic number[4]
660s
660 = 22 × 3 × 5 × 11
Sum of four consecutive primes (157 + 163 + 167 + 173)
Sum of six consecutive primes (101 + 103 + 107 + 109 + 113 + 127)
Sum of eight consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101)
682 = 2 × 11 × 31, sphenic number, sum of four consecutive primes (163 + 167 + 173 + 179), sum of ten consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89), number of moves to solve the Norwegian puzzle
strikketoy[59]
683 = prime number, Sophie Germain prime,[35] sum of five consecutive primes (127 + 131 + 137 + 139 + 149), Chen prime, Eisenstein prime with no imaginary part,
Wagstaff prime[60]
684 = 22 × 32 × 19, Harshad number, number of graphical forest partitions of 32[61]
In number theory, 691 is a "marker" (similar to the radioactive markers in biology): whenever it appears in a computation, one can be sure that Bernoulli numbers are involved.
692 = 22 × 173, number of partitions of 48 into powers of 2[67]
604 = 22 × 151,
nontotient, totient sum for first 44 integers, area code for southwestern British Columbia (Lower Mainland, Fraser Valley, Sunshine Coast and Sea to Sky)
613 = prime number, first number of
prime triple (p, p + 4, p + 6), middle number of
sexy prime triple (p − 6, p, p + 6). Geometrical numbers:
Centered square number with 18 per side,
circular number of 21 with a square grid and 27 using a triangular grid. Also 17-gonal. Hypotenuse of a right triangle with integral sides, these being 35 and 612. Partitioning: 613 partitions of 47 into non-factor primes, 613 non-squashing partitions into distinct parts of the number 54. Squares: Sum of squares of two consecutive integers, 17 and 18. Additional properties: a
lucky number, index of prime Lucas number.[9]
In
Judaism the number 613 is very significant, as its metaphysics, the
Kabbalah, views every complete entity as divisible into 613 parts: 613 parts of every
Sefirah;
613 mitzvot, or divine
Commandments in the
Torah; 613 parts of the human body.
614 = 2 × 307,
nontotient,
2-Knödel number. According to Rabbi
Emil Fackenheim, the number of Commandments in Judaism should be 614 rather than the traditional 613.
617 = prime number, sum of five consecutive primes (109 + 113 + 127 + 131 + 137),
Chen prime,
Eisenstein prime with no imaginary part, number of compositions of 17 into distinct parts,[11]prime index prime, index of prime Lucas number[9]
Area code 617, a telephone area code covering the metropolitan Boston area
620 = 22 × 5 × 31, sum of four consecutive primes (149 + 151 + 157 + 163), sum of eight consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), the sum of the first 620 primes is itself prime[14]
621 = 33 × 23, Harshad number, the discriminant of a totally real cubic field[15]
623 = 7 × 89, number of partitions of 23 into an even number of parts[16]
624 = 24 × 3 × 13 =
J4(5),[17] sum of a twin prime (311 + 313), Harshad number, Zuckerman number
625 = 252 = 54, sum of seven consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103),
centered octagonal number,[18] 1-
automorphic number,
Friedman number since 625 = 56−2,[19] one of the two three-digit numbers when squared or raised to a higher power that end in the same three digits, the other being
376
639 = 32 × 71, sum of the first twenty primes, also
ISO 639 is the
ISO's standard for codes for the representation of
languages
640s
640 = 27 × 5,
Harshad number,
refactorable number, hexadecagonal number,[33] number of 1's in all partitions of 24 into odd parts,[34] number of acres in a square mile
646 = 2 × 17 × 19, sphenic number, also
ISO 646 is the ISO's standard for international 7-bit variants of
ASCII, number of permutations of length 7 without rising or falling successions[40]
647 = prime number, sum of five consecutive primes (113 + 127 + 131 + 137 + 139), Chen prime, Eisenstein prime with no imaginary part, 3647 - 2647 is prime[41]
659 = prime number, Sophie Germain prime,[35] sum of seven consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107), Chen prime, Mertens function sets new low of −10 which stands until 661, highly cototient number,[22] Eisenstein prime with no imaginary part, strictly non-palindromic number[4]
660s
660 = 22 × 3 × 5 × 11
Sum of four consecutive primes (157 + 163 + 167 + 173)
Sum of six consecutive primes (101 + 103 + 107 + 109 + 113 + 127)
Sum of eight consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101)
682 = 2 × 11 × 31, sphenic number, sum of four consecutive primes (163 + 167 + 173 + 179), sum of ten consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89), number of moves to solve the Norwegian puzzle
strikketoy[59]
683 = prime number, Sophie Germain prime,[35] sum of five consecutive primes (127 + 131 + 137 + 139 + 149), Chen prime, Eisenstein prime with no imaginary part,
Wagstaff prime[60]
684 = 22 × 32 × 19, Harshad number, number of graphical forest partitions of 32[61]
In number theory, 691 is a "marker" (similar to the radioactive markers in biology): whenever it appears in a computation, one can be sure that Bernoulli numbers are involved.
692 = 22 × 173, number of partitions of 48 into powers of 2[67]