Properties of the Number 5687

Five Thousand Six Hundred Eighty-Seven

Basics

Value: 5686 → 5687 → 5688

Parity: odd

Prime: No

Previous Prime: 5683

Next Prime: 5689

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 11 ² × 47

Divisors: 1, 11, 47, 121, 517, 5687

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000110111

Octal: 13067

Duodecimal: 335B

Hexadecimal: 1637

Square: 32341969

Square Root: 75.41220060441148

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

Number of non-Look-and-Say partitions of n. Number of integer partitions of n such that there is no way to choose a disjoint strict integer partition of each multiplicity. A351293

Numbers k such that the centered cube number k³ + (k+1)³ is equal to at least one other sum of two cubes. A352134

Numbers k such that the centered cube number k³ + (k+1)³ is equal to at least two other sums of two cubes. A352221

a(n) = |1³ - 2³ + 3³ - 4³ + ... + (-1)ⁿ⁺¹*n³|. A11934

Alternating sum of cubes, i.e., ∑_k=0..n k^p*q^k for p=3, q=-1. A232599

Number of integer partitions of n where no part is 2^k times any other part, for any k > 0. A323093

Number of integer partitions of n such that it is not possible to choose a different constant integer partition of each part. A387329

Total number of smallest parts that are also emergent parts in all partitions of n. A220479

Leading diagonal of A100781. A100783

a(n) = (2·n + 1)*(5·n + 6). A153127