Properties of the Number 31238

Thirty-One Thousand Two Hundred Thirty-Eight

Basics

Value: 31237 → 31238 → 31239

Parity: even

Prime: No

Previous Prime: 31237

Next Prime: 31247

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 15619

Divisors: 1, 2, 15619, 31238

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101000000110

Octal: 75006

Duodecimal: 160B2

Hexadecimal: 7a06

Square: 975812644

Square Root: 176.74275091216612

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

Triangle of Eulerian numbers with rows multiplied by 1 + x. A8518

Eulerian version of the Catalan numbers, a(n) = A008292(2·n+1,n+1)/(n+1). A177042

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235087

Number of permutations p of [n] such that the sequence of ascents and descents of p or of p0 (if n is even) forms a Dyck path. A303287

Number T(n,k) of permutations of {0,1,...,2n} with first element k whose sequence of ascents and descents forms a Dyck path; triangle T(n,k), n>=0, 0<=k<=2n, read by rows. A316728

a(n) = a(n-1) + a(n-2) + k, n>1; with a(0) = 1, a(1) = 2, k = 3. A171516

Number T(n,k) of permutations p of [n] with exactly k descents such that the up-down signature of p has nonnegative partial sums; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/2)), read by rows. A321280

Triangle, read by rows, T(n, k) = 2·A123125(n-1, k), for n >= 2, otherwise T(n, 0) = T(n, n) = -1, with T(0, 0) = T(1, 0) = 1. A141591

Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235080

φ(s(n³)) is a square, where s(n) is σ(n)-n (A001065). A63798