Properties of the Number 22635

Twenty-Two Thousand Six Hundred Thirty-Five

Basics

Value: 22634 → 22635 → 22636

Parity: odd

Prime: No

Previous Prime: 22621

Next Prime: 22637

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 503

Divisors: 1, 3, 5, 9, 15, 45, 503, 1509, 2515, 4527

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100001101011

Octal: 54153

Duodecimal: 11123

Hexadecimal: 586b

Square: 512343225

Square Root: 150.449327017438

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 3 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367301

Sum of n-th row of triangle in A079784. A79783

Numbers n with property that n² contains "1234" as a substring. A175464

Class numbers associated with terms of A001988. A1989

G.f.: (1+x³+x⁴+x⁵+x⁶+x⁹)/((1-x)*(1-x²)²*(1-x³)*(1-x⁴)). A90491

a(n) = 2·n/3 for n divisible by 3, otherwise a(n) = round(4·n/3). Or, equivalently, a(3·n-2) = 4·n-3, a(3·n-1) = 4·n-1, a(3·n) = 2·n. A6369

Expansion of ∏_m>=1 (1 + m·q^m)⁷. A22635

Fixed points in A256271. A258766