Properties of the Number 35542

Thirty-Five Thousand Five Hundred Forty-Two

Basics

Value: 35541 → 35542 → 35543

Parity: even

Prime: No

Previous Prime: 35537

Next Prime: 35543

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 1367

Divisors: 1, 2, 13, 26, 1367, 2734, 17771, 35542

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101011010110

Octal: 105326

Duodecimal: 1869A

Hexadecimal: 8ad6

Square: 1263233764

Square Root: 188.52586029507995

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

Triangle read by rows: T(n,k) is the number of configurations with exactly k polyomino matchings in a generalized game of memory played on the path of length 5n. A334058

The number of monic integer polynomials of degree n all of whose roots are distinct and of modulus at most 1. A280709

a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048212. A48222

Number of -7..7 arrays x(0..n-1) of n elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern). A200180

Number of even parts in the partitions of n into 8 parts. A309630

Number of partitions of n with equal number of parts congruent to each of 0 and 3 (mod 4). A35542