Properties of the Number 31504

Thirty-One Thousand Five Hundred Four

Basics

Value: 31503 → 31504 → 31505

Parity: even

Prime: No

Previous Prime: 31489

Next Prime: 31511

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 11 × 179

Divisors: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101100010000

Octal: 75420

Duodecimal: 16294

Hexadecimal: 7b10

Square: 992502016

Square Root: 177.49366185867032

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

Domb numbers: number of 2n-step polygons on diamond lattice. A2895

Number of rooted trees with n nodes with every leaf at the same height. A48816

Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n. A114169

Square array A(n,k) = (n!)² [xⁿ] BesselI(0, 2·sqrt(x))^k read by antidiagonals. A287316

T(n,k)=Number of nXk 0..3 arrays with no element equal to another within two positions in the same row or column, and new values 0..3 introduced in row major order. A206692

The number of partitions of n in which at least one part is a multiple of 3. A295341

Number of partitions of n such that (greatest part) + (least part) < number of parts. A237822

The function W_n(10) (see Borwein et al. reference for definition). A169713

Expansion of x*(1+13·x-12·x³)/(1-14·x²+12·x⁴). A249313

Principal diagonal of the convolution array A213561. A213562