Properties of the Number 18513

Eighteen Thousand Five Hundred Thirteen

Basics

Value: 18512 → 18513 → 18514

Parity: odd

Prime: No

Previous Prime: 18503

Next Prime: 18517

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 ² × 17

Divisors: 1, 3, 9, 11, 17, 33, 51, 99, 121, 153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100100001010001

Octal: 44121

Duodecimal: A869

Hexadecimal: 4851

Square: 342731169

Square Root: 136.0624856453828

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

Pentagonal pyramidal numbers: a(n) = n²*(n+1)/2. A2411

a(n) = 17·n². A244630

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303016

Numbers k such that the k-th composition in standard order is an alternating permutation of {1..k} for some k. A349051

Table read by rows: row n lists every number j whose n-th power has exactly j divisors. A323730

Odd pentagonal pyramidal numbers. A15223

a(n) = (n+1)*(2n+1)². A139757

Expansion of exp( ∑_n>=1 -σ(9·n)*xⁿ/n ) in powers of x. A283169

a(n) is the largest number j whose n-th power has exactly j divisors. A323734

Terms k of A228058 for which A048146(k)+A162296(k) >= 2·k, where A048146 is the sum of non-unitary divisors, and A162296 is the sum of divisors that have a square factor. A389219