Properties of the Number 32097

Thirty-Two Thousand Ninety-Seven

Basics

Value: 32096 → 32097 → 32098

Parity: odd

Prime: No

Previous Prime: 32089

Next Prime: 32099

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 823

Divisors: 1, 3, 13, 39, 823, 2469, 10699, 32097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110101100001

Octal: 76541

Duodecimal: 166A9

Hexadecimal: 7d61

Square: 1030217409

Square Root: 179.15635629248547

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 inequivalent tilings of a 5 X n rectangle using integer-sided square tiles. A359021

Number of inequivalent tilings of a 9 X n rectangle using integer-sided square tiles. A359025

Numbers k such that k and 5·k, taken together, are pandigital. A115925

Expansion of ∏_k>=0 (1-x^4·k+1)^4·k+1. A285070

Expansion of ∏_k>=0 (1 + x^4·k+1)^4·k+1. A285288

Number of multisets of exactly three partitions of positive integers into distinct parts with total sum of parts equal to n. A320788

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, 0, -1), (1, 1, -1), (1, 1, 0)}. A148999

"BHK" (reversible, identity, unlabeled) transform of 2,1,1,1,... A32097

Number of nX4 0..4 arrays with values 0..4 introduced in row major order and no element equal to any horizontal or vertical neighbor. A198902