6656

6656 is a natural number that follows 6655 and precedes 6657. It is an even composite number with prime factorization 2^9 × 13, i.e., 6656 = 13 × 512.

In various numeral systems, 6656 is represented as decimal 6656, hexadecimal 0x1A00, octal 15000, and binary 1101000000000.

Mathematically, 6656 is an abundant number because the sum of its proper divisors exceeds the number itself. Using the formula for divisors, sigma(6656) = (2^{10} − 1) × (1 + 13) = 1023 × 14 = 14322, so the sum of proper divisors is 14322 − 6656 = 7666, which is 1010 larger than 6656. With prime power decomposition as 2^9 × 13, it has (9+1)(1+1) = 20 divisors.

6656 does not have notable widely recognized cultural or historical references; it is primarily encountered as a number in mathematical and computing contexts. It lies near powers of two, being 13 × 2^9 and equal to 2^9 × 13, illustrating its composition from a power of two and a small odd factor.