Properties of the Number 31881

Thirty-One Thousand Eight Hundred Eighty-One

Basics

Value: 31880 → 31881 → 31882

Parity: odd

Prime: No

Previous Prime: 31873

Next Prime: 31883

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 10627

Divisors: 1, 3, 10627, 31881

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110010001001

Octal: 76211

Duodecimal: 16549

Hexadecimal: 7c89

Square: 1016398161

Square Root: 178.5525132839076

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

Array read by antidiagonals upwards where A(n, k) is the number of non-isomorphic multiset partitions of weight n with k levels of brackets. A306186

Number of polyominoes with n cells that tile the plane by 180-degree rotation (Conway criterion) but not by translation. A75201

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without 2-loops or left turns. A221890

Triangle: Number of asymmetric semigroups of order n with k idempotents. A58113

G.f. A(x) satisfies A(x) = 1 / (1 - x·A(x⁴)). A367794

Number of binary words of length n containing at least one subword 10⁸1 and no subwords 10ⁱ1 with i<8. A143288

Number of 3Xn arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without 2-loops or left turns. A221892

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 249", based on the 5-celled von Neumann neighborhood. A271014

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 785", based on the 5-celled von Neumann neighborhood. A273559

Numbers k(n) used for Cassels's Markoff forms MF(n) corresponding to the conjectured unique Markoff triples MT(n) with maximal entry m(n) = A002559(n), for n >= 1. A305310