Properties of the Number 13586

Thirteen Thousand Five Hundred Eighty-Six

Basics

Value: 13585 → 13586 → 13587

Parity: even

Prime: No

Previous Prime: 13577

Next Prime: 13591

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 6793

Divisors: 1, 2, 6793, 13586

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010100010010

Octal: 32422

Duodecimal: 7A42

Hexadecimal: 3512

Square: 184579396

Square Root: 116.55899793666725

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(n) = 2 + (89040 + (71868 + (29932 + (8449 + (1960 + (322 + (28 + n)*n)*n)*n)*n)*n)*n)*n/40320. A145130

Regular triangle where T(n,k) is the number of multiset partitions of strongly normal multisets of size n into k blocks, where a multiset is strongly normal if it spans an initial interval of positive integers with weakly decreasing multiplicities. A317449

Expansion of x/((1 - x - x⁴)*(1 - x)⁸). A145137

a(n) = (n³ + 18·n² + 17·n + 6)/6. A143058

Main diagonal of square array A145153. A145138

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 14", based on the 5-celled von Neumann neighborhood. A269709

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 249", based on the 5-celled von Neumann neighborhood. A271014

Index k of the first occurrence of A019565(2n-1) as the smallest term that makes prime(k)-A019565(2n-1) prime. A103792

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, 0, 1), (1, 1, -1), (1, 1, 0)}. A150823

Number of (n+2) X 9 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order. A204369