Properties of the Number 12637

Twelve Thousand Six Hundred Thirty-Seven

Basics

Value: 12636 → 12637 → 12638

Parity: odd

Prime: Yes

Previous Prime: 12619

Next Prime: 12641

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 12637

Divisors: 1, 12637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101011101

Octal: 30535

Duodecimal: 7391

Hexadecimal: 315d

Square: 159693769

Square Root: 112.4144118874444

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

The quadruples (d1,d2,d3,d4) with elements in {2,4,6} are listed in lexicographic order; for each quadruple, this sequence lists the smallest prime p >= 5 such that the differences between the 5 consecutive primes starting with p are (d1,d2,d3,d4), if such a prime exists. A78866

Sorted version of A078866. A78867

Values of n such that L(12) and N(12) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227515

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466]. A78852

Primes of the form 2·n²+6·n+1. A176549

Number of distinct lines through the origin in 3-dimensional cube of side length n. A90025

Number of partitions of n having no parts equal to the size of their Durfee squares. A118199

Centered 36-gonal numbers. A195316

a(n) = 8·n² - 4·n - 3. A118057

Numerators of a fractional order v differentiation of the Bernoulli polynomials with v = 1/2, evaluated at x = 1 and normalized by sqrt(π). A346711