Properties of the Number 21264

Twenty-One Thousand Two Hundred Sixty-Four

Basics

Value: 21263 → 21264 → 21265

Parity: even

Prime: No

Previous Prime: 21247

Next Prime: 21269

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 443

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001100010000

Octal: 51420

Duodecimal: 10380

Hexadecimal: 5310

Square: 452157696

Square Root: 145.82180906846548

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

Coordination sequence for hexagonal close-packing. A7899

a(n) is the number of binary strings of length n such that no subsequence of length 4 contains 3 or more ones. A118647

Expansion of (φ(q²) / φ(-q))² in powers of q where φ() is a Ramanujan θ function. A131126

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235098

Expansion of q * φ(q) * ψ(q⁸) / (φ(-q) * φ(q⁴)) in powers of q where φ(), ψ() are Ramanujan θ functions. A215348

Number of semistandard rectangular plane partitions of n. A323432

Expansion of φ(q⁴) / φ(q) in powers of q where φ() is a Ramanujan θ function. A112128

Expansion of φ(q⁴) / φ(-q) in powers of q where φ() is a Ramanujan θ function. A208933

Expansion of q * φ(-q) * ψ(q⁸) / (φ(q) * φ(q⁴)) in powers of q where φ(), ψ() are Ramanujan θ functions. A215349

Expansion of (φ(q²) / φ(q))² in powers of q where φ() is a Ramanujan θ function. A210066