Properties of the Number 5718

Five Thousand Seven Hundred Eighteen

Basics

Value: 5717 → 5718 → 5719

Parity: even

Prime: No

Previous Prime: 5717

Next Prime: 5737

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 953

Divisors: 1, 2, 3, 6, 953, 1906, 2859, 5718

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001010110

Octal: 13126

Duodecimal: 3386

Hexadecimal: 1656

Square: 32695524

Square Root: 75.61745830163825

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 ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

Number of ways to partition 2n into distinct positive integers. A35294

Number of partitions of n into odd parts in which the largest part occurs only once. A117409

Expansion of q^-1/24 (m (1-m) / 16)^1/24 in powers of q, where m = k² is the parameter and q is the nome for Jacobian elliptic functions. A81360

a(n) = ∑_m=1..n T(m,n+1-m), array T as in A048887. A48888

Numbers divisible by prime(d) for each digit d in their base-4 representation, none of which may be zero. A256874

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1. A113746

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically. A207785

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 111 in rows and columns. A202378

Numbers which are the sum of their proper divisors containing the digit 9. A59468