Properties of the Number 31284

Thirty-One Thousand Two Hundred Eighty-Four

Basics

Value: 31283 → 31284 → 31285

Parity: even

Prime: No

Previous Prime: 31277

Next Prime: 31307

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 11 × 79

Divisors: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101000110100

Octal: 75064

Duodecimal: 16130

Hexadecimal: 7a34

Square: 978688656

Square Root: 176.8728356758041

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)=1/4 the number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero. A189951

Number of compositions of n with no part circularly followed by a divisor or a multiple. A328599

Numbers k such that 2k-1 divides 2^k-1. A81856

Amicable triples: numbers such that σ(x) = σ(y) = σ(z) = x+y+z, x<y<z. We order these triples according to the common value of σ. Sequence gives y numbers. A125491

Indices of the records in the sequence of smallest positive quadratic nonresidues (A053760). A147971

Numbers that belong to at least one amicable tuple. A255215

Positive integers n such that n=p+q for some primes p,q with π(p)*π(q) = σ(n). A273286

G.f.: ∏_k>=1 (1 + x^k) / (1 - x^k*(k+1/2)). A280422

a(n) = (n+1)*(n+2)²*(n+3)*(n+4)*(4·n²+15·n+15)/720. A108682

1/4 the number of arrangements of n+1 nonzero numbers x(i) in -n..n with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero. A189943