8833

8833 is a positive integer. Its prime factorization is 8833 = 11^2 × 73, making it a composite number. The prime factors are 11 and 73; since 11 occurs with exponent 2, 8833 is not square-free.

The six positive divisors of 8833 are 1, 11, 73, 121, 803, and 8833. The sum of all divisors, sigma(8833), can be computed from the factorization as (11^3 − 1)/(11 − 1) × (73^2 − 1)/(73 − 1) = 133 × 74 = 9842. Therefore the sum of proper divisors is 9842 − 8833 = 1009. Because this sum is less than 8833, 8833 is classified as a deficient number.

In various bases, 8833 has these representations: in binary it is 10001010000001_2, in octal it is 21201_8, and in hexadecimal it is 0x2281. These representations reflect its composition from the prime factors 11 and 73.

Summary: 8833 is a composite, deficient integer with prime factorization 11^2 × 73, six divisors, and distinct representations across common positional bases.