Properties of the Number 22658

Twenty-Two Thousand Six Hundred Fifty-Eight

Basics

Value: 22657 → 22658 → 22659

Parity: even

Prime: No

Previous Prime: 22651

Next Prime: 22669

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 11329

Divisors: 1, 2, 11329, 22658

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100010000010

Octal: 54202

Duodecimal: 11142

Hexadecimal: 5882

Square: 513384964

Square Root: 150.5257453062432

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

a(n) = 5·a(n-1) - a(n-2), with a(0) = 1 and a(1) = 2. A2310

Number of base-6 circular n-digit numbers with adjacent digits differing by 2 or less. A124807

Values of·in the solutions to x² - 5xy + y² + 5 = 0, where 0 < x < y. A237254

Generalized Markoff numbers: largest of 7-tuple of positive numbers a, b, c, d, e, f, g satisfying the Markoff(7) equation a²+b²+c²+d²+e²+f²+g² = 5abcdefg. A227212

Number of partitions of n with exactly one prime number. A132381

a(n) = (a(n-1)*a(n-3) + 1) / a(n-4) with a(0) = a(1) = a(2) = a(3) = 1. A217787

a(n) = 5·a(n-3) - a(n-6) with terms 1..6 as 0, 1, 2, 5, 7, 9. A142879

G.f. A(x) satisfies: A(x) = 1/(1 + x·A(x) + x²*A(x)/(1 + x³*A(x) + x⁴*A(x)/(1 + x⁵*A(x) + x⁶*A(x)/(1 + ...)))), a continued fraction. A301410

Expansion of g.f. (x³+x²+2·x+1)/(x⁴+5·x²+1). A101463

Array read by antidiagonals: T(m,n) = number of m-ary words of length n with cyclically adjacent elements differing by 2 or less. A285280