8828

8828 is a positive integer in the decimal number system. It is an even number and, as a result, composite.

The prime factorization of 8828 is 2^2 × 2207, where 2207 is prime. Consequently, its positive divisors are 1, 2, 4, 2207, 4414, and 8828. The sum of its proper divisors is 6628, which is less than 8828, so 8828 is a deficient number.

In different base representations, 8828 appears as follows: in binary it is 10001001111100; in hexadecimal it is 0x227C; in octal it is 21174.

A notable related fact is that 2207, the odd factor in the prime factorization, is a Lucas number (L16). Thus 8828 can be expressed as 4 × 2207, connecting it to the Lucas sequence as part of a simple multiplicative relation with a known member of that sequence.

There is no widely recognized constant or special named value associated specifically with 8828. In general mathematical contexts, it serves as an example of an even, composite, deficient number with a straightforward factorization and simple base representations.