9933

9933 is a natural number that follows 9932 and precedes 9934. In decimal notation it is written as 9933. In various bases it has the representations: binary 10011011001101, octal 23315, and hexadecimal 0x26CD. Its digital sum is 24, giving a digital root of 6.

In number theory terms, 9933 is odd and composite. Its prime factorization is 3 × 7 × 11 × 43, making it a square-free number (no repeated prime factors). Accordingly, its divisors are all products of subsets of these primes. The full set of positive divisors is:

1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, and 9933.

As the sum of its divisors equals 16896, which is less than 2 × 9933 = 19866, 9933 is classified as a deficient number. Its residue modulo small bases places it at 0 modulo 3, and its modulo 9 residue is 6.

Overall, 9933 is a distinct, non-prime integer with a straightforward prime factorization and a full set of sixteen divisors.