Properties of the Number 18167

Eighteen Thousand One Hundred Sixty-Seven

Basics

Value: 18166 → 18167 → 18168

Parity: odd

Prime: No

Previous Prime: 18149

Next Prime: 18169

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 37 × 491

Divisors: 1, 37, 491, 18167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011011110111

Octal: 43367

Duodecimal: A61B

Hexadecimal: 46f7

Square: 330039889

Square Root: 134.7850140037831

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

Expansion of g.f. (1/2)*( a*(1+x)ⁿ + b*(1-x)ⁿ⁺²*LerchPhi(x, -n-1, 1) + c·2ⁿ⁺¹*(1-x)ⁿ⁺¹*LerchPhi(x, -n, 1/2) ), where a = 3, b = -3, and c = 1, read by rows. A168552

Number of minimal dominating sets in the n X n black bishop graph. A286886

Number of minimal dominating sets in the n X n white bishop graph. A287897

Numbers k such that 11k = 6j² + 6j + 1. A106388

Numerators of coefficients in series expansion of 1/(Bernoulli trial entropy). A145176

Numerator of the coefficient [x²ⁿ⁺¹] of the Taylor series arcsinh(cosec(x) - coth(x)). A13543

Decimal part of n^1/11 starts with a 'nine digits' anagram. A34286

Numbers k such that sum of proper divisors or aliquot parts of k² (excluding 1) is a square, or A048050(k²) is a square. A63900

a(n) = prime(2·n²) - 2·n². A141086

Numbers n such that sum of the proper divisors of n is the square of the sum of the digits of n. A279459