8976

8976 is a positive integer in the standard decimal system. It is an even, composite number with a prime factorization of 2^4 × 3 × 11 × 17, meaning it can be expressed as 16 times 561. Its prime factorization shows it has several small factors and, consequently, a relatively large number of divisors.

The number has 40 positive divisors, arising from the exponents in its factorization: (4+1) × (1+1) × (1+1) × (1+1) = 5 × 2 × 2 × 2. It is not a square or a cube, since no prime exponent in its factorization is even for all primes. The sum of its positive divisors is 26784, so the sum of proper divisors (excluding 8976 itself) is 17808. The digit sum is 30, giving a digital root of 3, and 8976 is not a Harshad number since it is not divisible by 30.

In base representations, 8976 appears as 10001100010000 in binary, 21420 in octal, and 0x2310 in hexadecimal. This reflects its decomposition into powers of two (2^4, 2^9, 2^8, and 2^4) when expressed in different bases.

Overall, 8976 is characterized by its even, composite nature, its specific prime factors, and its multiple-base representations, making it a typical example used in discussions of integer factorization and base conversions.