Properties of the Number 21272

Twenty-One Thousand Two Hundred Seventy-Two

Basics

Value: 21271 → 21272 → 21273

Parity: even

Prime: No

Previous Prime: 21269

Next Prime: 21277

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 2659

Divisors: 1, 2, 4, 8, 2659, 5318, 10636, 21272

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001100011000

Octal: 51430

Duodecimal: 10388

Hexadecimal: 5318

Square: 452497984

Square Root: 145.84923722803626

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 A(n,k) of tilings of a k X n rectangle using dominoes and right trominoes; square array A(n,k), n>=0, k>=0, read by antidiagonals. A219987

Number of fixed 4-dimensional polycubes with n cells. A151830

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 (10 maximizes T(1,1)). A233967

Number of tilings of an n X n square using dominoes and right trominoes. A219994

Number of fixed n-celled polyzebras (or zebra-move-connected polyominoes). A93877

G.f.: (1 - x/(1 - x²/(1 - x³/(1 - x⁴/(1 - ...))))) * (1 + x/(1 + x²/(1 + x³/(1 + x⁴/(1 + ...))))), a continued fraction. A285638

Square array read by descending antidiagonals: A(n,k) is the number of fixed n-dimensional polyominoes of size k. A385291

Number of 3-step knight's tours on an (n+2) X (n+2) board summed over all starting positions. A186852

Number of tilings of a 5 X n rectangle using dominoes and right trominoes. A219988

a(n) is the multiplicative inverse of A008514(n+1) modulo A008514(n). A334137