Properties of the Number 31328

Thirty-One Thousand Three Hundred Twenty-Eight

Basics

Value: 31327 → 31328 → 31329

Parity: even

Prime: No

Previous Prime: 31327

Next Prime: 31333

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 11 × 89

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001100000

Octal: 75140

Duodecimal: 16168

Hexadecimal: 7a60

Square: 981443584

Square Root: 176.99717511870068

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

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A317011

All 81 combinations of prefixing and following a(n) by a single digit are nonprime. A32734

Expansion of ∏_k>=1 1/(1 - x^k)^A000593(k). A301799

G.f.: ∑_n>=0 (1 + x*(1+x)ⁿ)ⁿ / 2ⁿ⁺¹. A300279

Indices of records in A327007. A327009

Composite numbers k such that all the decimal concatenations ik and ikj (i, j = 1...9) are also composite. A32737

a(n) = 4*(3·n+1)*(3·n+2). A144410

Numbers k such that k and k+1 are both divisible by the number of their divisors over the Gaussian integers. A351852

Numbers k that divide the (left) concatenation of all numbers <= k written in base 23 (most significant digit on left). A29492

Nonsquarefree numbers such that n-1 is prime and n+1 is square. A146980