7793

7793 is a natural number that comes after 7792 and before 7794. In mathematical terms, 7793 is classified as a prime number, having no positive divisors other than 1 and itself. The number is odd and its digit sum is 26, which shows it is not divisible by 3 or 9.

7793 has the property that primes congruent to 1 modulo 4 can be expressed as a sum of two squares. Indeed, 7793 can be written as 88^2 + 7^2. This representation reflects a well-known result in number theory about primes of the form 4k + 1.

In various numeral systems, 7793 has the following representations: in binary, it is 1111001110001, and in hexadecimal, it is 0x1E71. These representations illustrate how the same number can be expressed in different bases, a common consideration in computer science and mathematics.

Beyond these basic characterizations, 7793 does not possess widely noted specializations or widely referenced historical usages. As a prime number with a simple sum-of-squares expression, it serves as a representative example of primes of the form 4k + 1 and their relation to two-square representations.