Properties of the Number 31269

Thirty-One Thousand Two Hundred Sixty-Nine

Basics

Value: 31268 → 31269 → 31270

Parity: odd

Prime: No

Previous Prime: 31267

Next Prime: 31271

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 1489

Divisors: 1, 3, 7, 21, 1489, 4467, 10423, 31269

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101000100101

Octal: 75045

Duodecimal: 16119

Hexadecimal: 7a25

Square: 977750361

Square Root: 176.8304272459918

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 (-1 + ∏_k>=1 1 / (1 - x^k))⁷. A341226

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)^2·n+1)ⁿ⁺¹ for n >= 0. A360345

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) is a part of p. A241735

Numbers k such that k + sopfr(k) is a cube. A389862

Triangle of coefficients of polynomials v(n,x) jointly generated with A209773; see the Formula section. A209774

an=n-th smallest integer m=p1·p2·p3, product of 3 odd primes such that d+2m/d are all primes for d dividing 2m. A128278

σ(n) + φ(n) is a fourth power. A114068

a(n) is the least k such that k + sopfr(k) has exactly n prime factors, counted with multiplicity. A389973

Numbers n such that σ(n) + φ(n) is a composite number of the form p^k where p is a prime. A230770

Numbers k such that k⁵¹² + 1 is prime. A57465