6756

6756 is a positive integer. It is even and composite, and its prime factorization is 2^2 × 3 × 563. The positive divisors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, and 6756.

As a multiple of 12, 6756 is divisible by 3 and by 4; the digit sum is 24, confirming divisibility by 3. The number is not divisible by 9, and its square root is approximately 82.2, so it is not a perfect square or cube. It has exactly 12 positive divisors, as listed above.

6756 is an abundant number because the sum of its proper divisors (excluding the number itself) is 9036, which exceeds 6756 by 2280. This abundance confirms that it lies in the set of numbers that exceed their sum of proper divisors.

In summary, 6756 is an even, composite, and abundant four-digit integer with a prime factorization of 2^2 × 3 × 563 and a divisor set consisting of 12 elements. There is no widely noted mathematical constant, theorem, or historical event specifically associated with this number.