Properties of the Number 72605

Seventy-Two Thousand Six Hundred Five

Basics

Value: 72604 → 72605 → 72606

Parity: odd

Prime: No

Previous Prime: 72577

Next Prime: 72613

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 13 × 1117

Divisors: 1, 5, 13, 65, 1117, 5585, 14521, 72605

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001101110011101

Octal: 215635

Duodecimal: 36025

Hexadecimal: 11b9d

Square: 5271486025

Square Root: 269.45314991664134

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

Number of necklaces with n beads over an n-ary alphabet {a1,a2,...,an} such that #(w,a1) >= #(w,a2) >= ... >= #(w,ak) >= 0, where #(w,x) counts the letters·in word w. A72605

O.g.f. A(x) satisfies: 0 = [xⁿ] exp( n⁴ * Integral 1/A(x) dx ) / A(x), for n > 0. A305146