3168

3168 is a positive integer. In mathematics, it has the prime factorization 2^5 * 3^2 * 11, making it an even, composite number. It is divisible by 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, and 48, among others. The sum of its digits is 18, so 3168 is a Harshad (Niven) number in base 10, since 3168 divided by 18 equals 176. It is not a prime, not a square, and not a triangular number. The presence of a prime congruent to 3 mod 4 (11) to the first power in its factorization means it cannot be expressed as a sum of two squares.

In base representations, 3168 is written as 110001100000 in binary, C60 in hexadecimal, and 6140 in octal. In Roman numerals, it is MMMCXLVIII, reflecting 3000 + 100 + 60 + 8.

As a year, 3168 CE would fall in the fourth millennium of the Common Era. The number is also used in various cataloging contexts, though no single widely cited association is universal.