Properties of the Number 31382

Thirty-One Thousand Three Hundred Eighty-Two

Basics

Value: 31381 → 31382 → 31383

Parity: even

Prime: No

Previous Prime: 31379

Next Prime: 31387

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 × 17 × 71

Divisors: 1, 2, 13, 17, 26, 34, 71, 142, 221, 442

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101010010110

Octal: 75226

Duodecimal: 161B2

Hexadecimal: 7a96

Square: 984829924

Square Root: 177.14965424747518

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

Expansion of (1+x²*C²)*C⁴, where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A71723

Number of (w,x,y,z) with all terms in {0,...,n} and (least gapsize)=1. A212894

∑_k=0..n A000041( binomial(n,k) ), where A000041(n) is the number of partitions of n. A226659

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259002

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 435", based on the 5-celled von Neumann neighborhood. A272151

a(n) = [xⁿ] (3·x + 1)*(1 - sqrt(1 - 4·x))/(2·x). A352681

(Terms in A028273)/2. A51298

a(n) = prime(8·n - 2). A31382

Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 1, 2 or 4 1s. A295527