Properties of the Number 31596

Thirty-One Thousand Five Hundred Ninety-Six

Basics

Value: 31595 → 31596 → 31597

Parity: even

Prime: No

Previous Prime: 31583

Next Prime: 31601

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 2633

Divisors: 1, 2, 3, 4, 6, 12, 2633, 5266, 7899, 10532

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101101101100

Octal: 75554

Duodecimal: 16350

Hexadecimal: 7b6c

Square: 998307216

Square Root: 177.7526371112395

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 representations of n as a sum of products of pairs of positive integers, n = ∑_k=1..m i_k*j_k with i_k<=j_k, i_k<=i_k+1, j_k<=j_k+1, i_k*j_k<=i_k+1*j_k+1. A212214

a(n) = sum of the perimeters of the Ferrers boards of the partitions of n. Also, sum of the perimeters of the diagrams of the regions of the set of partitions of n. A278355

Table read by rows: T(n,k) = number of k-sided polygons in an equal-armed cross with arms of length n (see Comments in A331456 for definition) for k = 3,4,5,6,7. A333037

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 35", based on the 5-celled von Neumann neighborhood. A269816

Numbers k such that (28·10^k + 113)/3 is prime. A271147

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 98. A31596