7693

7693 is a natural number that sits between 7692 and 7694. It is an odd, composite integer with several arithmetic properties of note.

Its prime factorization is 7^2 × 157, so 7693 is divisible by 7 and by 49. The factor 157 is itself prime. Because all primes congruent to 3 mod 4 appear with even exponents in its factorization, 7693 can be expressed as a sum of two squares; one such representation is 7693 = 77^2 + 42^2.

In various numeral systems, 7693 has these representations: in binary it is 1111000001101_2, in octal it is 17015_8, and in hexadecimal it is 0x1E0D. These forms reflect its decimal value through standard base conversions.

As a mathematical object, 7693 is primarily noted for its factorization into a square times a prime (49 × 157) and for its sum-of-squares expression. It does not belong to any widely recognized category of special constants or sequences on its own, but it serves as an example of a composite number with a straightforward factorization and multiple base representations.