8608

8608 is a natural number that comes after 8607 and before 8609. It is an even integer with the prime factorization 8608 = 2^5 × 269, where 269 is a prime number. Consequently, 8608 has 12 positive divisors. The sum of all divisors is 17,010, so the sum of proper divisors is 8,402; thus 8608 is a deficient number (the sum of its proper divisors is less than the number itself). The greatest power of two dividing 8608 is 2^5, so the number is divisible by 32 but not by 64.

In various bases, 8608 is represented as follows: binary 10000110100000_2; hexadecimal 0x21A0; octal 20640_8. The digit sum in base 10 is 8 + 6 + 0 + 8 = 22, and 8608 ≡ 1 (mod 3) and ≡ 3 (mod 5).

Beyond pure number theory, 8608 may appear as a model or catalog number in products or datasets, but it does not have a widely recognized non-numerical meaning as a standalone term. It is, however, a concrete example of an even, composite number with a straightforward prime factorization and multiple base representations.

See also: List of numbers in base representations, Prime factorization, Divisibility rules.