15312

15312 is a natural number that follows 15311 and precedes 15313. It is an even composite number with a range of mathematical properties that can be illustrated across several common representations.

Its prime factorization is 2^4 × 3 × 11 × 29, which gives it 40 positive divisors. The sum of all divisors is 44640, so the sum of proper divisors is 29328. The number is divisible by 3 and by 16 (since it equals 16 × 957), and consequently by 48 as well (15312 = 48 × 319). As a result, 15312 is not a prime and sits in the family of highly composite-like structures without being itself a highly composite number.

In base 10, 15312 has digits that sum to 12, making it a Harshad (Niven) number, since 15312 ÷ 12 = 1276. Its base representations include binary 11101111010000, hexadecimal 0x3BD0, and octal 0o35720, illustrating standard conversions between common numeral systems: 15312 = 957 × 16, with 957 = 512 + 256 + 128 + 32 + 16 + 8 + 4 + 1.

As a specific integer, 15312 serves as an example in discussions of divisibility, factorization, and base representation within elementary number theory.