4688

4688 is a positive integer that comes after 4687 and before 4689. In mathematics, 4688 factors as 2^4 × 293, making it a composite number. It is divisible by 2, 4, 8, 16, and 293, producing divisors including 1, 2, 4, 8, 16, 293, 586, 1172, 2344, and 4688. Its prime factorization indicates it has 10 positive divisors. The number is even and not divisible by 3, 5, or 7.

In base representations, 4688 is 0x1250 in hexadecimal, 11120 in octal, and 0001001001010000 in binary. These representations reflect that 4688 equals 16 × 293 and confirms the binary structure as a multiple of 2^4.

In other contexts, 4688 does not have a widely recognized special meaning or designation. It may appear as a catalog or serial number, a year in the far future, or in numerical sequences, or as a reference in a dataset. It is sometimes used in examples of arithmetic and number theory due to its simple factorization into a small power of two and a prime.