ℕ atory
Play Now

Properties of the Number 15272

Fifteen Thousand Two Hundred Seventy-Two

Basics

Value: 15271 → 15272 → 15273

Parity: even

Prime: No

Previous Prime: 15271

Next Prime: 15277

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 3 × 23 × 83

Divisors: 1, 2, 4, 8, 23, 46, 83, 92, 166, 184

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 11101110101000

Octal: 35650

Duodecimal: 8A08

Hexadecimal: 3ba8

Square: 233233984

Square Root: 123.57993364620326

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

Maximal coefficient of ∏k<=n (1 + xk). Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0 or 1. A25591
Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0. A63865
Number of integer partitions of n with a part dividing all the other parts. A83710
T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no increasing sequence of length 3 horizontally, vertically or antidiagonally downwards. A233602
Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0 or +- 1. A63867
Expansion of ∏k>=1 (1 + xk)k*(5·k-3/2). A294837
Number of fair distributions (equal sum) of the integers {1,..,4n} between A and B = number of solutions to the equation {+-1 +-2 +- 3 ... +-4·n = 0}. A60468
Inverse Moebius transform of Lucas numbers (A000032) 1,3,4,7,11,.. A100107
Number of involutions avoiding the pattern 1324. A230554
Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape I; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A247703