12032

12032 is a natural number that follows 12031 and precedes 12033. In mathematics, it is an even composite number. Its prime factorization is 2^8 × 47, making it the product of 256 and 47. Accordingly, it has 18 positive divisors. The sum of its digits is 1+2+0+3+2 = 8, so its digital root is 8, and it is a Harshad number in base 10 since 12032 is divisible by 8. It is a multiple of 16; 12032 = 16 × 752 and also 256 × 47. Thus it is divisible by 2^8 but not by 2^9.

Representations of 12032 include binary 10111100000000 and hexadecimal 0x2F00. These base representations reflect its factorization by powers of two, with the binary form highlighting the trailing zero bits corresponding to the 2-adic factors.

In the context of postal geography, 12032 is a ZIP code used in the United States for a region in New York state. USPS records place it in the Albany region, within Albany County, and it is associated with residential and local commercial areas in that part of the state. As a ZIP code, its exact boundaries are defined by postal delivery routes and can be adjusted over time to reflect population and logistical changes.

Overall, 12032 functions as both a mathematical integer with a clear prime factorization and a practical identifier within the United States postal system. Its properties, such as being 2^8 × 47 and its binary and hex representations, are useful in number theory and computer contexts, while its ZIP code use ties it to a specific locale in New York.