Properties of the Number 32358

Thirty-Two Thousand Three Hundred Fifty-Eight

Basics

Value: 32357 → 32358 → 32359

Parity: even

Prime: No

Previous Prime: 32353

Next Prime: 32359

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5393

Divisors: 1, 2, 3, 6, 5393, 10786, 16179, 32358

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111001100110

Octal: 77146

Duodecimal: 16886

Hexadecimal: 7e66

Square: 1047040164

Square Root: 179.88329550016587

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

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 0 vertically. A207960

Poincaré series for hyperbolic reflection group with Coxeter diagram o-(4)-o---o-(5)-o. A265047

Maximal length of rook tour on an n X n+1 board. A152132

a(0) = 1, a(1) = 4; thereafter a(n)*(2n + 10) - a(n-1)*(11n + 35) + a(n-2)*(8n + 2) + a(n-3)*(15n + 7) + a(n-4)*(4n - 2) = 0. A1559

Maximal length of rook tour on an n X n+3 board. A152134

Starting from k=7, each subsequent term is the next larger k such that the ratio A276086(k)/A003415(k) is nearer to 1 than for the previous k in the sequence. A371104

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,27. A64250

Number of nX7 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 0 vertically. A207959

Number of 4Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 0 vertically. A207962

Consecutive exclusionary squares: Numbers n such that n² does not contain digits of n and (n+1)² does not contain digits of n+1. A247843