3647

3647 is a natural number that follows 3646 and precedes 3648. It is an odd composite number, with prime factorization 7 × 521, where 521 is a prime. Its divisors are 1, 7, 521, and 3647.

The sum of proper divisors (1 + 7 + 521) equals 529, which is smaller than 3647, so 3647 is classified as a deficient number in number theory.

In various representations, 3647 appears as MMMDCXLVII in Roman numerals. In binary it is 111000111111, and in hexadecimal it is E3F. The decimal digits of 3647 sum to 20, giving a digital root of 2. The value is also close to 60 squared, since 60² equals 3600.

Besides its arithmetic properties, 3647 is primarily encountered as a labeled integer in mathematical discussions and sequences. It does not have widely recognized cultural or historical associations in common references. As a composite number with a simple factorization, it serves as a straightforward example in exercises involving divisors, factorization, and base conversions.