Properties of the Number 97237

Ninety-Seven Thousand Two Hundred Thirty-Seven

Basics

Value: 97236 → 97237 → 97238

Parity: odd

Prime: No

Previous Prime: 97231

Next Prime: 97241

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 29 × 479

Divisors: 1, 7, 29, 203, 479, 3353, 13891, 97237

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101111010101

Octal: 275725

Duodecimal: 48331

Hexadecimal: 17bd5

Square: 9455034169

Square Root: 311.82847849418755

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

E.g.f.: A(x) = x·exp(x) o x·exp(x²) o x·exp(x³) o x·exp(x⁴) o ..., the composition of functions x·exp(xⁿ) for n=...,3,2,1. A277181

Number of 5-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and first differences in -n..n. A208996

Number of hierarchical orderings ("societies") of n labeled elements ("individuals") with at least two occupied levels. A97237

E.g.f.: logarithm of G(x)/x where G(x) = x·exp(x) o x·exp(x²) o x·exp(x³) o x·exp(x⁴) o ..., a composition of functions x·exp(xⁿ) for n = ...,3,2,1. A277183