8768

8768 is a natural number that follows 8767 and precedes 8769. It is an even, composite integer with prime factorization 2^6 × 137, where 137 is a prime number. The divisors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, and 8768, for a total of 14 divisors.

The sum of all divisors of 8768, including the number itself, is 17,526. The sum of proper divisors (excluding 8768) is 8,758, which is less than 8,768, so 8768 is a deficient number. This reflects its lack of abundant divisors relative to its size.

In various base representations, 8768 appears as follows: binary 10001001000000_2, octal 21100_8, and hexadecimal 0x2240. These representations reflect its factorization by powers of two, notably the factor 2^6.

As a specific numeric object, 8768 is not prime, not a perfect square, and is overall used primarily as a simple example of an even, composite integer with a straightforward prime factorization. Its mathematical properties, including its divisor structure and base representations, are typical of numbers of the form 2^k × p with p an odd prime.