6828

6828 is a natural number that follows 6827 and precedes 6829. It is an even, composite integer with several divisors and no special status in most common mathematical classifications.

Its prime factorization is 2^2 × 3 × 569, where 569 is a prime number. The positive divisors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, and 6828, for a total of 12 divisors. The number is divisible by 4, by 3, and by 12 (since 6828 = 12 × 569). Its approximate square root is 82.7.

In common numeral systems, 6828 can be represented as binary 1101010101100, hexadecimal 0x1AAC, and octal 15254. These representations reflect its factorization and size in different bases.

From a divisor-sum perspective, the sum of all positive divisors of 6828 equals 15,960, so the sum of proper divisors is 9,132. Because the sum of proper divisors exceeds 6828, 6828 is classified as an abundant number, with an abundance of 2,304.

Beyond these basic properties, there are no widely noted mathematical constants, theorems, or famous sequences uniquely associated with the number 6828. It serves primarily as an example of a moderately large, composite number with a straightforward factorization and a clear set of divisors.