Properties of the Number -13736

Thirteen Thousand Seven Hundred Thirty-Six

Basics

Value: -13737 → -13736 → -13735

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 17 × 101

Divisors: 1, 2, 4, 8, 17, 34, 68, 101, 136, 202

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11010110101000

Octal: -32650

Duodecimal: -7B48

Hexadecimal: -35a8

Square: 188677696

Square Root: 117.2006825918689

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) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

Abundant numbers n for which the abundance d = σ(n) - 2·n is a proper divisor, that is, 0 < d < n and d | n. A181595

Consider the base-5 Kaprekar map n->K(n) defined in A165032. Sequence gives numbers belonging to cycles, including fixed points. A165037

Even octagonal numbers: a(n) = 4·n*(3·n-1). A14642

Generalized Catalan numbers 2·x*A(x)² -A(x) +1 -x =0. A68764

Abundant numbers n such that n/(σ(n)-2n) is an integer. A153501

Triangle T(n,k) = P(n,k)/2, n >= 2, 1 <= k < n, of one-half of number of permutations of 1..n such that the differences have k runs with the same signs. A8970

Consider the base-5 Kaprekar map n->K(n) defined in A165032. Sequence gives numbers belonging to cycles of length greater than 1. A165039

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235186

Numbers k divisible by their abundance σ(k) - 2·k. A97498