Properties of the Number 21792

Twenty-One Thousand Seven Hundred Ninety-Two

Basics

Value: 21791 → 21792 → 21793

Parity: even

Prime: No

Previous Prime: 21787

Next Prime: 21799

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 227

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010100100000

Octal: 52440

Duodecimal: 10740

Hexadecimal: 5520

Square: 474891264

Square Root: 147.62113669796747

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

Triangle read by rows: T(n,k) = number of ways to place k nonattacking kings on an n X n board. A193580

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A299228

Table T(n,k), n>=1 and k>=0, read by antidiagonals, related to A111146. A113326

a(n) = ∑_k=0..n 4^k*A111146(n,k). A113329

Maximal length of rook tour on an n X n+4 board. A152135

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300040

Number of ways to place 8 nonattacking kings on an n X n board. A201369

Determinants of 5 X 5 matrices consisting of 25 consecutive primes. A118815

Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A299223

Number of nonempty subsets of {1..n} whose elements have a square average. A369391