Properties of the Number 56221

Fifty-Six Thousand Two Hundred Twenty-One

Basics

Value: 56220 → 56221 → 56222

Parity: odd

Prime: No

Previous Prime: 56209

Next Prime: 56237

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 19 × 269

Divisors: 1, 11, 19, 209, 269, 2959, 5111, 56221

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101110011101

Octal: 155635

Duodecimal: 28651

Hexadecimal: db9d

Square: 3160800841

Square Root: 237.10967926257248

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

a(n) is the total number of down steps between the (n-1)-th and n-th up steps in all 2_1-Dyck paths of length 3·n. A 2_1-Dyck path is a lattice path with steps (1, 2), (1, -1) that starts and ends at y = 0 and stays above the line y = -1. A334977

Triangular array read by rows, T(n,k) = number of partial functions on {1,2,...,n} with exactly k cycles. A216520

T(n,n-3), array T given by A047000. A47005

Number of subsets of {1,2,...,n} such that no two elements differ by 2, 4, or 5. A375983

Image of primes (A000040) under "little Hankel" transform that sends [c₀, c₁, ...] to [d₀, d₁, ...] where d_n = c_n² - c_n+1*c_n-1. A56221