6693

6693 is a positive integer in the decimal system. It is the product of three distinct primes: 3, 23, and 97, so 6693 = 3 × 23 × 97. This makes it an odd, squarefree composite number.

The positive divisors of 6693 are 1, 3, 23, 69, 97, 291, 2231, and 6693. The sum of all divisors is 9408, while the sum of proper divisors (excluding the number itself) is 2715. Because 2715 is less than 6693, 6693 is classified as a deficient number.

In decimal form, the digits of 6693 are 6, 6, 9, and 3, with a digit sum of 24. This makes 6693 divisible by 3 but not by 9. It is not divisible by 2 or 5, and its prime factorization confirms divisibility only by 3, 23, and 97 (as listed above).

In binary, 6693 is represented as 1101000100101. In other bases, representations differ according to standard base conversion methods, but the fundamental factorization remains the same: 3 × 23 × 97.

As a mathematical object, 6693 serves as an example of a small, squarefree, deficient number with three distinct prime factors. It can be used in factorization exercises and discussions of divisors, sums of divisors, and base representations.