3684

3684 is a natural number that sits between 3683 and 3685. It is an even composite number. Its prime factorization is 3684 = 2^2 × 3 × 307, with 307 being a prime number. This factorization shows 3684 has 12 positive divisors: 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684. The number is divisible by 3 and by 4, and thus by 12. The sum of its digits is 21, so 3684 is divisible by 3 but not by 9, confirming its divisibility by 3.

In different numeral systems, 3684 can be represented as binary 111001100100 and hexadecimal E64. In Roman numerals, it is written as MMMDCLXXXIV. The number is not a Harshad number in base 10, since 3684 is not divisible by 21, the sum of its digits.

As a mathematical object, 3684 is used as an example of a composite number with a short prime factorization and a total of 12 divisors. It has no widely cited special properties beyond its factor structure, but it serves as a reference point in elementary number theory.

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