Properties of the Number 22305

Twenty-Two Thousand Three Hundred Five

Basics

Value: 22304 → 22305 → 22306

Parity: odd

Prime: No

Previous Prime: 22303

Next Prime: 22307

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 1487

Divisors: 1, 3, 5, 15, 1487, 4461, 7435, 22305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011100100001

Octal: 53441

Duodecimal: 10AA9

Hexadecimal: 5721

Square: 497513025

Square Root: 149.34858553063032

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

Reflected (see A074058) pentanacci numbers A074048. A74062

Expansion of 1/(1 - x + x⁴). A99530

G.f.: exp( ∑_n>=1 A163659(n²)*xⁿ/n ), where x·exp(∑_n>=1 A163659(n)*xⁿ/n) = S(x) is the g.f. of Stern's diatomic series (A002487). A195586

Where records of A309036 occur. A309056

a(n) is the n-th J₈-prime (Josephus₈ prime). A163788

a(n) = ∑_k=0..n (-1)^k * binomial(3·k,n-k). A360087

Number of distinct determinants of 3 X 3 matrices with entries from {0, 1, ..., n}. A366158

Integer part of log(n)^{n - 1}. A62415

Nearest integer to log(n)^n-1. A62416

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 486", based on the 5-celled von Neumann neighborhood. A272508