Properties of the Number 31925

Thirty-One Thousand Nine Hundred Twenty-Five

Basics

Value: 31924 → 31925 → 31926

Parity: odd

Prime: No

Previous Prime: 31907

Next Prime: 31957

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 ² × 1277

Divisors: 1, 5, 25, 1277, 6385, 31925

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110010110101

Octal: 76265

Duodecimal: 16585

Hexadecimal: 7cb5

Square: 1019205625

Square Root: 178.67568385205638

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

Define C(n) by the recursion C(0) = 5·i where i² = -1, C(n+1) = 1/(1 + C(n)), then a(n) = 5*(-1)ⁿ/Im(C(n)) where Im(z) denotes the imaginary part of z. A69962

a(n) = -4·a(n-3) + 11·a(n-2) - a(n-1), a(0) = -5, a(1) = 39, a(2) = -110. A153267

Numbers k in A228058 such that also A001065(k) is in A228058. A325380

G.f.: ∑_n>=0 4ⁿ * xⁿ / (1-x)^2·n+1 * [∑_k=0..n C(n,k)² * x^k]². A246540

a(n) = smallest k such that li(k) - π(k) >= n, where li(k) is the logarithmic integral and π(x) is the number of primes <= x. A359145

Indices of records in A255933. A392028

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 203", based on the 5-celled von Neumann neighborhood. A270727

a(n) = ∑_{k = n..2·n+1} k². A299646

Upper prime of a difference of 6 between consecutive primes. A31925