12744

12744 is a natural number that follows 12743 and precedes 12745. In mathematics, it is notable as an even and composite integer with several simple factorization properties.

Its prime factorization is 12744 = 2^3 × 3^3 × 59. This reveals that the number is divisible by 8 (2^3), by 9 (3^2), and by 27 (3^3); in fact, 12744 can be written as 216 × 59. Consequently, the total number of positive divisors is 32. The presence of both 2^3 and 3^3 also means the number is divisible by 72, since 72 = 2^3 × 3^2 and 12744 = 72 × 177.

Additional arithmetic properties include that the sum of its digits is 18, so the number is divisible by 9 and by 3. In other common representations, 12744 equals 216 × 59, emphasizing its factorization structure. In binary, 12744 can be expressed as a sum of powers of two (for example, 2^13 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3), illustrating its standard base-2 representation.

As a specific integer, 12744 serves primarily as a numerical value within the integers and can appear in various numerical contexts, such as sequences, counting, and modular arithmetic examples.