Properties of the Number 22312

Twenty-Two Thousand Three Hundred Twelve

Basics

Value: 22311 → 22312 → 22313

Parity: even

Prime: No

Previous Prime: 22307

Next Prime: 22343

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 2789

Divisors: 1, 2, 4, 8, 2789, 5578, 11156, 22312

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101011100101000

Octal: 53450

Duodecimal: 10AB4

Hexadecimal: 5728

Square: 497825344

Square Root: 149.37201879870273

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

Least positive k such that k * [RSA-640]ⁿ - 1 is prime, where RSA-640 is the 193 decimal digit RSA challenge number A391940(14). A108573

Eight white queens and one red queen on a 3 X 3 chessboard. G.f.: (1 - 2·x)/(1 - 6·x + 2·x²). A180034

G.f. A(x) satisfies: A(x) = ∑_n>=0 binomial( n², n) * xⁿ / A(x)^n². A298689

Number of nondecreasing arrangements of n+2 numbers in 0..8 with the last equal to 8 and each after the second equal to the sum of one or two of the preceding four. A189325

Number of (n+2) X (7+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252718

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, -1), (0, 1, -1), (0, 1, 0), (1, 0, 1)}. A150216

Number of weakly alternating ordered prime factorizations of n with at least two adjacent equal parts. A349798

a(n) = numbers k in increasing order such that A175856(m) = k has no solution for any m, where A175856(m): a(m) = m for m = noncomposites, a(m) = previous term - 1 for m = composites. A175859

Numbers n such that there are precisely 14 groups of orders n and n + 1. A298431

a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=7. A22312