7789

7789 is a natural number that sits between 7788 and 7790. In mathematics, it is a prime number, having exactly two positive divisors: 1 and 7789. This makes it part of the sequence of primes in the decimal system, and it is an odd integer, not divisible by 2, 3, or 5.

As a prime greater than 3, 7789 is congruent to 1 modulo 6; indeed 7789 mod 6 equals 1. In various base numeral systems its representations are: binary 1111001101101; octal 17155; hexadecimal 1E6D. These representations confirm its value across common bases. The digit sum of 7789 is 31, which, like the number itself, is not divisible by 3.

Because of its small size, 7789 is not typically used in modern cryptography or large-scale numerical applications, where larger primes are preferred. It serves as a straightforward example of a prime without special factors or complex properties.