Properties of the Number 12636

Twelve Thousand Six Hundred Thirty-Six

Basics

Value: 12635 → 12636 → 12637

Parity: even

Prime: No

Previous Prime: 12619

Next Prime: 12637

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁵ × 13

Divisors: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101011100

Octal: 30534

Duodecimal: 7390

Hexadecimal: 315c

Square: 159668496

Square Root: 112.40996397117117

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

Number of degree-n permutations of order dividing 6. A53496

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) - m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = k if k <= floor(n/2) otherwise n-k, and m = 2, read by rows. A157211

Sum of all the parts in the partitions of 4n into 4 parts. A238328

Numbers k such that σ(x) = k has exactly 8 solutions. A60664

22-gonal numbers: a(n) = n*(10·n-9). A51874

a(n) = 3ⁿ*Bell(n). A247452

Coefficients in q-expansion of (3·E₂*E₄ - 2·E₆ - E₂³)/1728, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A282097

Growth series for group with presentation < S, T : S² = T³ = (S·T)⁷ = 1 >. A298805

Number of intersections formed within a triangle by placing n points "in general position" on each of the three sides and connecting each point to each of the points on the other two sides using straight lines. A365929

19-gonal (or enneadecagonal) numbers: n(17n-15)/2. A51871