7641

7641 is a positive integer that comes after 7640 and before 7642. In mathematics it is a composite number, with prime factorization 3^3 × 283. This means it is divisible by 3, 9, 27, and 283, as well as by composite products such as 849 and 2547, but it is not divisible by 2, 5, or other small primes.

In different base representations, 7641 has simple forms: in binary it is 1110111011001, and in hexadecimal it is 0x1DD9. In octal, 7641 converts to 16731. These representations reflect its integer structure while illustrating common base-conversion properties.

Derivation and properties of 7641 in number theory include its non-primality and its odd nature. It is not a triangular number, not a square, and not a Fibonacci number. Its digit sum is 7 + 6 + 4 + 1 = 18, and 7641 is not divisible by 18, so it is not a Harshad number in base 10. The number is divisible by 27, which is 3^3, but it is not divisible by 81, since 283 (the remaining factor) is not a multiple of 3.

Overall, 7641 serves as an example of a modestly composite, odd integer with a straightforward prime factorization and standard base representations, illustrating common properties of natural numbers without exhibiting any widely recognized special status.