Properties of the Number 68551

Sixty-Eight Thousand Five Hundred Fifty-One

Basics

Value: 68550 → 68551 → 68552

Parity: odd

Prime: No

Previous Prime: 68543

Next Prime: 68567

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 ² × 1399

Divisors: 1, 7, 49, 1399, 9793, 68551

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101111000111

Octal: 205707

Duodecimal: 33807

Hexadecimal: 10bc7

Square: 4699239601

Square Root: 261.8224589297106

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

T(n,k) = Number of lower triangles of an n X n integer array with all row and column sums zero and all row and column sums of squares <= 2k². A195892

Number of happy numbers without zeros and with digits in nondecreasing order <= 10ⁿ. A219667

Number of ordered set partitions of {1,2,...,n} such that no part has the same size as any of its two immediate predecessors. A261961

Number of lower triangles of a 5X5 integer array with all row and column sums zero and all row and column sums of squares <= 2n². A195893

Number of lower triangles of an n X n integer array with all row and column sums zero and all row and column sums of squares <=32. A195888

a(n) = 4ⁿ - binomial(2·n,n). A68551