Properties of the Number 22542

Twenty-Two Thousand Five Hundred Forty-Two

Basics

Value: 22541 → 22542 → 22543

Parity: even

Prime: No

Previous Prime: 22541

Next Prime: 22543

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 13 × 17 ²

Divisors: 1, 2, 3, 6, 13, 17, 26, 34, 39, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100000001110

Octal: 54016

Duodecimal: 11066

Hexadecimal: 580e

Square: 508141764

Square Root: 150.1399347275734

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

Expansion of ∏_m>=1 (1+q^m)^-3. A22598

Number of partitions of n such that the number of different parts is odd. A90794

McKay-Thompson series of class 32a for the Monster group. A107635

Square array read by upward antidiagonals in which T(w,p) is the smallest number k whose symmetric representation of σ(k) consists of p parts with maximum width w occurring in at least one of its p parts. A348171

O.g.f. A(x) satisfies: [xⁿ] exp( n⁴*x - n·A(x) ) = 0 for n >= 1. A319941

Integers n > 10563 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10563. A63064

a(n) is the number of numbers k with 2^n-1 < k <= 2ⁿ having a number of divisors that is a power of 2. A36539

a(n) is the first average of a twin prime pair that is the sum of two distinct averages of twin prime pairs in exactly n ways. A358463

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DDR = Deca-dodecasil 3R[Si120O240]qR starting with a T7 atom. A19109

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, 1, -1), (0, 1, 0), (1, 0, -1), (1, 0, 1)}. A150217