6633

6633 is a natural number that follows 6632 and precedes 6634. It is odd and composite. Its prime factorization is 3^2 × 11 × 67, which implies that the number has twelve positive divisors: 1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, and 6633. The factorization also shows that 6633 is a multiple of 9, 11, 33, 67, and 99, as well as their combinations. For example, 6633 = 9 × 737 = 11 × 603 = 33 × 201 = 99 × 67.

In decimal representation, the digits sum to 6+6+3+3 = 18, making the number divisible by 9. It is not divisible by 18, since 6633/18 is not an integer. The number is divisible by 11 as indicated by the alternating sum test.

Beyond pure arithmetic, 6633 can appear as an identifier in various contexts (codes, catalog numbers, or measurements) where natural numbers are used. There is no widely known cultural or historical significance attached specifically to the number 6633.