9256

9256 is a natural number that follows 9255 and precedes 9257. It is even and composite. The prime factorization of 9256 is 2^3 × 13 × 89, indicating the number has 16 positive divisors.

The full set of divisors can be derived from the factorization: 1, 2, 4, 8, 13, 26, 52, 104, 89, 178, 356, 712, 1157, 2314, 4628, and 9256. Among these, the sum of all divisors is 18,900, so 9256 is an abundant number (the sum of proper divisors, 18,900 − 9,256 = 9,644, exceeds the number itself).

In other bases, 9256 is represented as follows: in binary, 10010000101000; in hexadecimal, 0x2428; in octal, 22050 (base 8).

There is no widely recognized special significance attached to 9256 in major mathematical constants or theorems. It serves as an example of a small even composite number with a straightforward prime factorization and a complete set of divisors that illustrate common divisor properties. Beyond its arithmetic characteristics, 9256 may appear as an identifier in various systems, such as catalog numbers or model designations, but these uses are not intrinsic to the number itself.