Properties of the Number 18144

Eighteen Thousand One Hundred Forty-Four

Basics

Value: 18143 → 18144 → 18145

Parity: even

Prime: No

Previous Prime: 18143

Next Prime: 18149

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ⁴ × 7

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011011100000

Octal: 43340

Duodecimal: A600

Hexadecimal: 46e0

Square: 329204736

Square Root: 134.6996659238619

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 refinement-ordered pairs of strict integer partitions of n. A317142

A factorial-like triangle read by rows: T(0,0) = 1; T(n+1,0) = T(n,0)+1; T(n+1,k+1) = T(n,0)*T(n,k), k=0..n. A245334

Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function. A57731

Triangle of idempotent numbers binomial(n,k)*k^n-k, version 1. A59297

Numbers with an even number of prime factors (counted with multiplicity) that can be factored into squarefree semiprimes (A320911) but cannot be factored into distinct semiprimes (A320892). A320893

Number of partitions of n which represent first player winning Chomp positions with multiple winning moves. A112473

a(n) = 14·n². A144555

Triangle read by rows: T(n,k) is the number of permutations of [n] for which the shortest cycle length is k (1<=k<=n). A145877

a(n) is the concatenation of n and 8n. A9470

Number of elements of S_n having the maximum possible order g(n), where g(n) is Landau's function (A000793). A74859