Properties of the Number 31801

Thirty-One Thousand Eight Hundred One

Basics

Value: 31800 → 31801 → 31802

Parity: odd

Prime: No

Previous Prime: 31799

Next Prime: 31817

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 ² × 11 × 59

Divisors: 1, 7, 11, 49, 59, 77, 413, 539, 649, 2891

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110000111001

Octal: 76071

Duodecimal: 164A1

Hexadecimal: 7c39

Square: 1011303601

Square Root: 178.32834883999794

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

Number of crossings in a regular drawing of the complete bipartite graph K(n,n). A159065

Numbers k such that k and k² use only the digits 0, 1, 3, 6 and 8. A136849

Number of parts in all partitions of n in which no part occurs more than twice. A185350

For any number n with runs in binary expansion (r_w, ..., r₀), let p(n) be the polynomial of a single indeterminate·where the coefficient of x^e is r_e for e = 0..w and otherwise 0, and let q be the inverse of p; a(n) = q(p(n)'). A355653

a(n) is the integer whose binary expansion starts with 1 and such that the runs of identical bits have lengths n, n-1, n-2, ..., 3, 2, 1. A371033

a(n) = A083960(n) / A004151(n). A83961

Numbers n such that (n + prime(n)), (n+1 + prime(n+1)), (n+2 + prime(n+2)) and (n+3 + prime(n+3)) are divisible by 5. A107582

Numbers n such that 219·2ⁿ-1 is prime. A50861

G.f.: (1+x+x³+x⁵)/( (1-x²+x³)*(1-x-x³) ). A177485

a(n) = (7·n + 3)⁴. A17020