Properties of the Number 97735

Ninety-Seven Thousand Seven Hundred Thirty-Five

Basics

Value: 97734 → 97735 → 97736

Parity: odd

Prime: No

Previous Prime: 97729

Next Prime: 97771

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 5 × 11 × 1777

Divisors: 1, 5, 11, 55, 1777, 8885, 19547, 97735

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110111000111

Octal: 276707

Duodecimal: 48687

Hexadecimal: 17dc7

Square: 9552130225

Square Root: 312.62597460863674

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 faces in the n-polygon diagonal intersection graph. A301748

Pell equation solutions (8·a(n))² - 65·b(n)² = -1 with b(n):=A097736(n), n >= 0. A97735

G.f. A(x) = ∑_n>=0 a(n)*xⁿ where a(n) = ∑_k=0..n-1 2^n-k-1 * ( ([x^k] A(x)ⁿ) (mod 2ⁿ) ) for n > 0, with a(0) = 1. A376232