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Properties of the Number 14560

Fourteen Thousand Five Hundred Sixty

Basics

Value: 14559 → 14560 → 14561

Parity: even

Prime: No

Previous Prime: 14557

Next Prime: 14561

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 5 × 5 × 7 × 13

Divisors: 1, 2, 4, 5, 7, 8, 10, 13, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100011100000

Octal: 34340

Duodecimal: 8514

Hexadecimal: 38e0

Square: 211993600

Square Root: 120.66482503198685

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 configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A89473
Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a2 + b2), sqrt(b2 + c2), sqrt(a2 + c2) are integers). A31173
Even octagonal numbers: a(n) = 4·n*(3·n-1). A14642
There are three equivalent descriptions: 1. Number of (horizontally or vertically) connected arrays of 1..n on rectangular grid (otherwise zero) with only one local maximum. 2. Number of n-polyominoes labeled 1...n such that each successive labeled cell is the neighbor of a previously labeled cell. 3. Number of connected n-step paths on a rectangular lattice, diagonal or repeated steps not allowed. A7846
Numbers k such that numerator(Bernoulli(2·k)/(2·k)) is different from numerator(Bernoulli(2·k)/(2·k*(2·k-1))). A90495
Numbers k such that σ(x) = k has exactly 9 solutions. A60665
Denominators of partial sums of the reciprocals of octagonal numbers. A294512
a(n) = (3·n+4)!!!/4!!!. A51604
Numbers k such that the largest unitary divisor of σ(k) that is coprime with A003961(k) is also a unitary divisor of k. A351551
Expansion of e.g.f. x·exp(3·x)*cosh(x). A82134