Properties of the Number 31008

Thirty-One Thousand Eight

Basics

Value: 31007 → 31008 → 31009

Parity: even

Prime: No

Previous Prime: 30983

Next Prime: 31013

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 17 × 19

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 17, 19

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111100100100000

Octal: 74440

Duodecimal: 15B40

Hexadecimal: 7920

Square: 961496064

Square Root: 176.0908856244411

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

Coefficients in a q-analog of the function [LambertW(-2x)/(-2x)]^1/2, as a triangle read by rows. A152550

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock equal. A236979

Expansion of ∏_k>=1 1/(1 - k³*x^k). A265837

"DHK[ 6 ]" (bracelet, identity, unlabeled, 6 parts) transform of 1,1,1,1,... A32247

T(2n+3,n), array T as in A055794. A55796

The Geode Bi-Tri infinite rectangular array, read by upward antidiagonals. A383453

Numbers k that can be expressed as k = w + x = y·z with w·x = y³ + z³ where w, x, y, and z are all positive integers. A57372

a(n) = Fibonacci(n)*A122859(n) for n>=1, with a(0)=1, where A122859 lists the coefficients in φ(-q)³/φ(-q³) and φ() is a Ramanujan θ function. A205972

Triangle read by rows: the x = 1+q Narayana triangle at m=2. A243660

a(n) = n*(n+1)*(n+2)*(n+3)/3. A162668