Properties of the Number 52221

Fifty-Two Thousand Two Hundred Twenty-One

Basics

Value: 52220 → 52221 → 52222

Parity: odd

Prime: No

Previous Prime: 52201

Next Prime: 52223

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 ² × 103

Divisors: 1, 3, 13, 39, 103, 169, 309, 507, 1339, 4017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 1100101111111101

Octal: 145775

Duodecimal: 26279

Hexadecimal: cbfd

Square: 2727032841

Square Root: 228.5191458062103

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

The ninth Euler transform of the sequence with g.f. 1+x. A290358

Number of 7-leaf rooted trees with n levels. A290361

a(n) = ∑_{k=0..floor(n/3)} binomial(3·n-3·k-2,n-3·k). A390705

a(n) = 2·a(n-1) + 2·a(n-3) + a(n-4), with a(0) = 0 = a(1), a(2) = 2, and a(3) = 1. A353581

Number of balanced partitions of n: the largest part equals the number of parts. A47993

Number of partitions of n-1 boys and one girl with no couple. A120452

Numbers whose sum of digits is 7. A52221

Number of integer partitions of n whose negated run-lengths are not unimodal. A332639

Number of separable integer partitions of n without an alternating permutation. A345166

Number of partitions of n having (sum of odd parts) = (sum of even parts). A239261