Properties of the Number 72657

Seventy-Two Thousand Six Hundred Fifty-Seven

Basics

Value: 72656 → 72657 → 72658

Parity: odd

Prime: No

Previous Prime: 72649

Next Prime: 72661

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 13 × 23

Divisors: 1, 3, 9, 13, 23, 27, 39, 69, 81, 117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101111010001

Octal: 215721

Duodecimal: 36069

Hexadecimal: 11bd1

Square: 5279039649

Square Root: 269.5496243736949

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

G.f. A(x) satisfies A(x) = 1 + x*(1+x²)³*A(x)³. A385317

a(n) = ∑_k=1..n A153757(k). A153758

100-gonal numbers: a(n) = 98·n*(n-1)/2 + n. A261276

[ 3rd elementary symmetric function of {sqrt(k+1)} ], k = 1,2,...,n. A25220

Inverse permutation to A072656. A72657