8704

8704 is a natural number that follows 8703 and precedes 8705. In mathematics, it is classified as an even and composite integer.

The prime factorization of 8704 is 2^9 × 17. This implies it has 20 positive divisors in total. The sum of all divisors, denoted sigma(8704), equals (2^10 − 1) × (17 + 1) = 1023 × 18 = 18414. The sum of its proper divisors (sigma(8704) − 8704) is 9710, which shows that 8704 is an abundant number. The abundance, defined as the amount by which the sum of proper divisors exceeds the number itself, is 1006.

In base representations, 8704 is written as decimal 8704, hexadecimal 0x2200, and binary 0010 0010 0000 0000 (a 16-bit form). The hexadecimal form highlights that 8704 equals 512 × 17, reflecting its factorization.

Geometrically or in common applications, 8704 does not have a widely cited special significance beyond its role as an example of a number with a high power of two factor multiplied by a small odd factor. It is, however, a representative case for illustrating concepts such as divisor counts, sums of divisors, and abundance in number theory.