6537

6537 is a natural number that comes after 6536 and before 6538. In arithmetic, 6537 is odd and composite. Its prime factorization is 3 × 2179, with 2179 being a prime number. Therefore, 6537 is a semiprime and has exactly four positive divisors: 1, 3, 2179, and 6537.

The digit sum of 6537 is 21, which is divisible by 3, reflecting its divisibility by 3. It is not a perfect square, cube, or other small-power number. In modular terms, 6537 is congruent to 3 modulo 9 and to 0 modulo 3.

Representations in different bases include hexadecimal and binary. In hexadecimal, 6537 is written as 0x1989. In binary, it has the value 1100110001001. These representations can be useful in computing contexts or when converting between numeral systems.

Beyond its role as a specific integer, 6537 serves as an example of a semiprime in number theory. It is used to illustrate factorization concepts, divisor counting (it has four divisors), and base conversion demonstrations. As a plain integer, it does not carry widely recognized mathematical constants or famous historical associations, but it remains a valid subject for basic arithmetic and introductory number-theory discussions.