Properties of the Number 18166

Eighteen Thousand One Hundred Sixty-Six

Basics

Value: 18165 → 18166 → 18167

Parity: even

Prime: No

Previous Prime: 18149

Next Prime: 18169

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 31 × 293

Divisors: 1, 2, 31, 62, 293, 586, 9083, 18166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011011110110

Octal: 43366

Duodecimal: A61A

Hexadecimal: 46f6

Square: 330003556

Square Root: 134.78130434151467

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

Numbers k such that k!3 - 3² is prime, where k!3 = k!!! is a triple factorial number (A007661). A243078

a(1)=1; for n>1, a(n) = ∑_k=1..n-1 a(k) * floor(n/k). A126656

a(n) = (a(n-3) + a(n-1) * a(n-5)) / a(n-6), a(0) = a(1) = ... = a(5) = 1. A275173

Least number k such that k·n+1 is a prime dividing 2ⁿ-1. A186283

Denominators of continued fraction convergents to sqrt(804). A42551

a(n) = (A097406(n) - 1)/n. A97407

G.f. satisfies A(x) = 1 + x/(1 - x⁴) * A(x/(1 - x⁴)). A360891

Number of permutations (p(1),p(2),...,p(n)) of (1,2,...,n) such that p(i)-i is in {-2,0,7} for all i=1,...,n. A387021

Numbers k for which 16·k+1, 16·k+3, 16·k+7, 16·k+13 and 16·k+15 are primes. A123990

Roman numerals for n evaluated as if in Sallows' base 27. A73427