11946

11946 is a natural number that lies between 11945 and 11947. It is even and composite, with several arithmetic properties that can be explored through its factorization and divisors.

The prime factorization of 11946 is 2 × 3^2 × 11 × 181. This structure yields 24 positive divisors in total. Examples include 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 181, 362, 543, 1086, 1629, 1991, 3258, 5973, 11946, 17919, and 35838. The sum of all divisors is 85,176, so the sum of proper divisors is 73,230. Since the sum of proper divisors exceeds the number itself, 11946 is classified as an abundant number. In hexadecimal, 11946 is 0x2EAA, and it is congruent to 2 modulo 4, reflecting its evenness and factorization by 2.

Beyond pure arithmetic, 11946’s divisibility properties include being divisible by 2, 3, 11, and 181, among others (e.g., 6, 22, 33, 66, 99, 198, and their multiples with 181). There is no widely recognized significance attached to 11946 as a distinct constant or timestamp; its interest largely derives from its factorization, divisor structure, and status as an abundant even integer.