7312

7312 is a natural number that follows 7311 and precedes 7313. In mathematics, it is an even composite number with prime factorization 2^4 × 457. Its positive divisors are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, and 7312, giving it ten divisors. The sum of its digits is 13, so it is not divisible by 3 or 9. It is congruent to 1 modulo 3 and 2 modulo 5.

Representations in other bases include binary 1110010010000_2 and hexadecimal 0x1C90, reflecting its factorization as 2^4 × 457. In decimal form, 7312 lies between 7000 and 8000.

In broader usage, 7312 may appear as an identifier in catalogs, product model numbers, or serial codes. As a numeral, it is used in arithmetic examples and didactic contexts to illustrate properties of even composite numbers. While it does not correspond to a widely noted historical event or widely referenced geometric constant, its factorization and base representations make it a representative example for teaching basic number theory concepts.