9552

9552 is the natural number that follows 9551 and precedes 9553. In mathematics, it is an even composite number with prime factorization 2^4 × 3 × 199.

This factorization implies 9552 has 20 positive divisors. The sum of all divisors is 24,800, so the sum of proper divisors (excluding the number itself) is 15,248. Because the proper divisors sum to more than 9552, 9552 is classified as an abundant number. It is divisible by 2, 3, 4, 6, 8, 12, 16, 24, 48, and 199, among other combinations of its prime factors. In particular, 9552 = 48 × 199.

As a decimal, 9552 is not a prime, nor is it a perfect square or cube. Its binary representation is 10010101010000. This can be useful in computer-related contexts that require conversions between bases.

Beyond pure arithmetic, 9552 may be used as an identifier in various cataloging or coding systems, such as inventory numbers or manuscript references. However, there is no widely noted historical or mathematical significance attached specifically to this number beyond its established divisibility and abundance properties.

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