Properties of the Number 31006

Thirty-One Thousand Six

Basics

Value: 31005 → 31006 → 31007

Parity: even

Prime: No

Previous Prime: 30983

Next Prime: 31013

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 37 × 419

Divisors: 1, 2, 37, 74, 419, 838, 15503, 31006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100100011110

Octal: 74436

Duodecimal: 15B3A

Hexadecimal: 791e

Square: 961372036

Square Root: 176.08520664723656

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

Indices of centered pentagonal numbers (A005891) which are also squares (A000290). A254332

Number of 0..4 arrays x(0..n-1) of n elements with nondecreasing average value. A200760

Open 3-dimensional ball numbers (version 2): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,0,0). A53594

Number of simple connected graphs with n nodes that are Eulerian and not integral. A243324

a(n) = 2·a(n-1) + a(n-2) - a(n-3), with a(0) = a(1) = 0, a(2) = 1. A6054

a(n) = 2·a(n-1) + a(n-2), with a(0) = 1, a(1) = 2, a(2) = 4. A52542

Expansion of (1-x)*(1+x)/(1-2·x-x²+x³). A52534

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with nondecreasing average value. A200763

T(n,k) = Number of n X k 0..4 arrays with every row and column running average nondecreasing rightwards and downwards. A200858

a(n)=least k such that base 7 representation of n begins at s(k), where s=A030998. A31006