Properties of the Number 31383

Thirty-One Thousand Three Hundred Eighty-Three

Basics

Value: 31382 → 31383 → 31384

Parity: odd

Prime: No

Previous Prime: 31379

Next Prime: 31387

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 317

Divisors: 1, 3, 9, 11, 33, 99, 317, 951, 2853, 3487

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101010010111

Octal: 75227

Duodecimal: 161B3

Hexadecimal: 7a97

Square: 984892689

Square Root: 177.15247669733552

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

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>=1 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)⁷ * ∏_i=1..t (1-xⁱ) ). A59824

Numbers k for which 6k+1, 24k+5, 432k²+72k-1, and 432k²+90k-1 are all prime. A175513

Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n² filled successively along antidiagonals (A069480). A72332

Rectangular array read by antidiagonals: T(n,k) is the number of distinct sums of k complex n-th roots of 1, n >= 1, k >= 0. A299807

a(n) = prime(9·n - 2). A31383