12264

12264 is a positive integer that appears primarily in mathematical contexts. It is an even, composite number with prime factorization 2^3 × 3 × 7 × 73, which shows it has 32 positive divisors.

The sum of all positive divisors of 12264 is 35,520, giving a sum of proper divisors of 23,256. Because the sum of its proper divisors exceeds the number itself, 12264 is classified as an abundant number. It is divisible by 24 (since 12264 ÷ 24 = 511), and therefore by 3 and by 8 as well. The digital root of 12264 is 6, and its last digit is 4, indicating it is congruent to 4 modulo 10.

In broader use, 12264 may serve as a numeric identifier or catalog number in various systems, but there is no single widely recognized historical, scientific, or cultural significance tied to this specific number.

Summary points:

- 12264 is even and composite with factorization 2^3 × 3 × 7 × 73.

- It has 32 divisors; the sum of proper divisors is 23,256, making it an abundant number.

- It is divisible by 24, has a digital root of 6, and ends in 4.

- Beyond mathematics, it may appear as a label in different catalogs, but no dominant association is known.