Properties of the Number 23166

Twenty-Three Thousand One Hundred Sixty-Six

Basics

Value: 23165 → 23166 → 23167

Parity: even

Prime: No

Previous Prime: 23159

Next Prime: 23167

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 11 × 13

Divisors: 1, 2, 3, 6, 9, 11, 13, 18, 22, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101001111110

Octal: 55176

Duodecimal: 114A6

Hexadecimal: 5a7e

Square: 536663556

Square Root: 152.20381072758985

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

Central elements in the 5-Pascal triangle A028313. A28322

Even elements in the 5-Pascal triangle A028313. A28317

A Catalan triangle by rows. A203717

Distinct even elements in the 5-Pascal triangle A028313. A28320

a(n)² + 1 is largest prime of the form x² + 1 <= 2ⁿ. A83848

Consider asymmetric 1-D random walk with set of possible jumps {-1,+1,+2}. Sequence gives number of paths of length n ending at origin. A176806

Irregular triangle read by rows T(n,m), coefficients in power/Fourier series expansion of an arbitrary anharmonic oscillator's exact phase space angular velocity. A276814

G.f. satisfies A(x) = 1 + x·A(x) / (1 + x·A(x)²). A364735

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-2,0,1,2}, n=3·r+p_i, and define a(-2)=1. Then a(n)=a(3·r+p_i) gives the quantity of H_9,1,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x²-1) with x=2·cos(π/9). A187499

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-2,0,1,2}, n=3·r+p_i, and define a(-2)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,3,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x²-1) with x=2·cos(π/9). A187501