24684

24684 is a natural number that sits between 24683 and 24685. It is an even, composite integer with a prime factorization of 2^2 × 3 × 11^2 × 17.

The factorization implies it has 36 positive divisors. Its digit sum is 24, which confirms divisibility by 3, and its last two digits (84) are divisible by 4, making the number divisible by 4 as well. Consequently, 24684 is divisible by 12, with 24684 ÷ 12 = 2057. The quotient 2057 further factors as 11^2 × 17, so the full factorization can be written as 2^2 × 3 × 11^2 × 17.

In terms of other arithmetic properties, 24684 is not a prime and not a perfect square, since the exponents of its prime factors include odd values (3^1 and 17^1). Its divisibility by 3, 4, and 12 is a straightforward consequence of its digit sum and the last two digits.

Beyond pure mathematics, 24684 may appear as a numeric label in various contexts such as catalogs, serial numbers, or postal-style codes. Without a specific system or region, it does not carry a universally recognized meaning on its own.

See also: integers, prime factorization, divisors, arithmetic properties of numbers.