Properties of the Number 688

Six Hundred Eighty-Eight

Basics

Value: 687 → 688 → 689

Parity: even

Prime: No

Previous Prime: 683

Next Prime: 691

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 43

Divisors: 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010110000

Octal: 1260

Duodecimal: 494

Hexadecimal: 2b0

Square: 473344

Square Root: 26.229754097208

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: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers that are products of 5 primes (or 5-almost primes, a generalization of semiprimes). A14614

Number of integer partitions of n having a unique part of least multiplicity. A362610

Matula-Goebel numbers of lone-child-avoiding rooted trees. A291636

Numbers k such that k¹⁶ + 1 is prime. A6313

Number of non-unimodal permutations of n items (i.e., those which do not simply go up for the first part and then down for the rest, but at some point go down then up). A59204

Product of the 4th power of a prime (A030514) and a different prime (p⁴*q). A178739

Number of partitions of n into parts >= 4. A8484

Number of compositions of n with no adjacent triples (..., x, y, z, ...) where x <= y <= z. A344615

Multiples of 8 containing an 8 in their decimal representation. A121028

Multiples of 16. A8598