7563

7563 is a natural number that follows 7562 and precedes 7564. It is an odd, composite integer.

Its prime factorization is 7563 = 3 × 2521, where 2521 is a prime number, making 7563 a product of two primes (a semiprime).

It is divisible by 3, as indicated by the digit sum of 21, but not by 9. It is congruent to 3 modulo 4, and it is not a perfect square or cube. In binary, 7563 is represented as 1110110001011.

In mathematics, 7563 is not a sum of two squares due to the presence of a prime factor congruent to 3 modulo 4 with odd exponent.

There are no widely known special naming or calendrical significances attached to this number; it is typically encountered in exercises illustrating basic factorization or modular arithmetic.