Properties of the Number 31872

Thirty-One Thousand Eight Hundred Seventy-Two

Basics

Value: 31871 → 31872 → 31873

Parity: even

Prime: No

Previous Prime: 31859

Next Prime: 31873

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁷ × 3 × 83

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110010000000

Octal: 76200

Duodecimal: 16540

Hexadecimal: 7c80

Square: 1015824384

Square Root: 178.52730883537117

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 unimodal functions [1..n]->[0..2]. A223718

Triangle read by rows: T(n,k) = number of open trails of length k starting and ending at fixed distinct vertices in the complete undirected graph on n labeled vertices, for n >= 1 and k = 0 .. n*(n-1)/2. A357886

Number of Motzkin meanders of length n with an even number of humps and an odd number of peaks. A325925

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 105", based on the 5-celled von Neumann neighborhood. A278863

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 121", based on the 5-celled von Neumann neighborhood. A278958

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 363", based on the 5-celled von Neumann neighborhood. A281417

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 734", based on the 5-celled von Neumann neighborhood. A290213

a(n) = nonnegative value y such that (A155135(n), y) is a solution to the Diophantine equation x³+28·x² = y². A155137

a(n) = (1/4) * ∑_k>=0 (3/4)^k * Stirling2(n+k,k). A390892

Number of permutations in the symmetric group S_n such that the size of their centralizer is even. A88335