Properties of the Number 21752

Twenty-One Thousand Seven Hundred Fifty-Two

Basics

Value: 21751 → 21752 → 21753

Parity: even

Prime: No

Previous Prime: 21751

Next Prime: 21757

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 2719

Divisors: 1, 2, 4, 8, 2719, 5438, 10876, 21752

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010011111000

Octal: 52370

Duodecimal: 10708

Hexadecimal: 54f8

Square: 473149504

Square Root: 147.48559251669298

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

Number of compositions of n that avoid the pattern 23-1. A189076

Number of formula representations of n using addition, multiplication and the constant 1. A214833

Indices at which record high values occur in A326344. A326298

Numbers k such that k and k+1 are both binary Moran numbers (A334344). A334345

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A381572. A381571

a(n) = (nⁿ⁺¹-(n-1)ⁿ) + ((n+1)ⁿ-n^n-1). A258389

Irregular table read by rows: The number of acyclic digraphs on n labeled nodes with k descents. A307049

Expansion of B(x)/sqrt(1 + 4*(B(x)-1)/5), where B(x) is the g.f. of A001449. A387084

Total number of possible standard knight moves on an n X 2n chessboard, if the knight is placed anywhere. A180319

Triangle T(n,m) = coefficient of xⁿ in the Taylor expansion of [(1-(1-8·x)^1/4)/(1+(1-8·x)^1/4)]^m. A202550