12588

12588 is a positive integer that comes after 12587 and before 12589. In mathematics, it is an even, composite number with a straightforward prime factorization.

Prime factorization and divisors: 12588 factors as 2^2 × 3 × 1049, where 1049 is a prime number. Accordingly, the number has 12 positive divisors: 1, 2, 3, 4, 6, 12, 1049, 2098, 3147, 4196, 6294, and 12588. The fact that it is divisible by 12 can be seen since 12588 ÷ 12 = 1049.

Numeral representations: In different bases, 12588 appears as follows. In binary it is 11000100101100. In hexadecimal it is 0x312C. In octal it is 30454.

Arithmetic properties: The sum of the decimal digits of 12588 is 1 + 2 + 5 + 8 + 8 = 24, which makes the number divisible by 3 but not by 9. It is even, so it is divisible by 2, and consequently by 6 and by 12 as noted above.

Context and usage: As a concrete example, 12588 is used to illustrate divisibility, factorization, and base conversion concepts in number theory. It is not a prime, and its factorization into 2^2 × 3 × 1049 demonstrates how composite numbers can be decomposed into smaller prime components.