3612

3612 is an integer in the set of natural numbers. It is even and composite, lying between 3611 and 3613.

The prime factorization of 3612 is 2^2 × 3 × 7 × 43. This decomposition shows that 3612 has 24 positive divisors. The sum of all divisors is 9856, meaning the sum of proper divisors is 9856 − 3612 = 6244, which is greater than 3612; thus 3612 is an abundant number. It is not a perfect square or a perfect cube.

In terms of base representations, 3612 in binary is 111000011100, and in hexadecimal it is E1C. In Roman numerals, 3612 is written as MMMDCXII.

Additional context and properties include its divisibility: 3612 is divisible by 2, 3, 6, and 7, among other factors derived from its prime factorization. The digit sum is 3 + 6 + 1 + 2 = 12, so the number is divisible by 3 and, by extension, by 9 only if the digit sum is a multiple of 9 (it is not in this case). As a concrete example from number theory, 3612 serves as a compact illustration of a non-square, non-prime, abundant integer with a relatively small set of prime factors.