Properties of the Number 18201

Eighteen Thousand Two Hundred One

Basics

Value: 18200 → 18201 → 18202

Parity: odd

Prime: No

Previous Prime: 18199

Next Prime: 18211

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 6067

Divisors: 1, 3, 6067, 18201

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011100011001

Octal: 43431

Duodecimal: A649

Hexadecimal: 4719

Square: 331276401

Square Root: 134.91108182799513

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

Triangle related to the divergent series 1^m*1! - 2^m*2! + 3^m*3! - 4^m*4! + ... for m >= -1. A163940

Expansion of e.g.f.: exp(x*(1+x)^x). A202152

a(n) = n³ + (1-n)². A168297

Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having a sum of one or less, with rows and columns of the latter in lexicographically nondecreasing order. A227161

Expansion of w₇/(1 + 13·w₇ + 49·w₇²) in powers of q, where w₇ = (η(7·q)/η(q))⁴. A279618

Number of compositions of n into parts with distinct multiplicities and with exactly nine parts. A321779

Becomes prime or 4 after exactly 9 iterations of f(x) = sum of prime factors of x. A48131

Sum of a positive square and a positive cube in at least three ways. A171385

Multiplicity of highest weight (or singular) vectors associated with character chi₁₀ of Monster module. A34398

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 10000-11100-00111-00001 pattern in any orientation. A147383