8676

8676 is a natural number that lies between 8675 and 8677. It is an even, composite integer with a straightforward prime factorization and several notable arithmetic properties.

The prime factorization of 8676 is 2^2 × 3^2 × 241, which can also be written as 36 × 241. As a result, 8676 has 18 positive divisors. These divisors are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, and 8676. The number is therefore not prime and has multiple factor pairs.

8676 is divisible by 4 and by 9, since the last two digits form a multiple of 4 and the sum of digits (8+6+7+6 = 27) is divisible by 9. In particular, it is divisible by 36, with 8676 ÷ 36 = 241.

From a representation standpoint, 8676 is a sum of two squares: 8676 = 90^2 + 24^2. This can be inferred from its factorization, since 36 = 6^2 + 0^2 and 241 = 15^2 + 4^2, and the product of sums of two squares yields another such representation.

Geometrically, the square root of 8676 is approximately 93.1, placing it between 93^2 = 8649 and 94^2 = 8836. In number-theory contexts, 8676 serves as a typical example of a composite number with multiple divisors and a mixed prime factorization.