Properties of the Number 13086

Thirteen Thousand Eighty-Six

Basics

Value: 13085 → 13086 → 13087

Parity: even

Prime: No

Previous Prime: 13063

Next Prime: 13093

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 727

Divisors: 1, 2, 3, 6, 9, 18, 727, 1454, 2181, 4362

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001100011110

Octal: 31436

Duodecimal: 76A6

Hexadecimal: 331e

Square: 171243396

Square Root: 114.39405578962571

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

a(0) = 1; a(n+1) = ∑_k=0..n a(n-k)*a(floor(k/2)). A127680

Smith numbers of order 3. A178213

Array read by antidiagonals: T(n,m) is the number of acyclic edge covers of the complete bipartite graph K_n,m. A328888

The (1,1)-entry in the 3 X 3 matrix Mⁿ, where M = [1,2,1 / 2,2,0 / 1,0,0]. A100191

Number of columns ending at an even level in all deco polyominoes of height n. A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column. A121754

Triangular array read by rows: T(n,k) is the number of functions f:{1,2,...,n}->{1,2,...,n} with a height of k; n>=1, 0<=k<=n-1. A216242

Expansion of (φ(x) / φ(x²)) * (f(-x³, -x⁵) / f(-x¹, -x⁷)) in powers of·where φ(), f() are Ramanujan θ functions. A245434

The array of A059578 read by antidiagonals in the 'up' direction. A59579

Floor[ concatenation of n+4, n+3, n+2, n+1 and n divided by 5]. A75006

Expansion of g.f.: x²*(1-2·x) / (1-3·x-3·x²+2·x³). A123950