8689

8689 is a natural number that follows 8688 and precedes 8690. In mathematics it is an odd positive integer and, as far as standard tests go, it is a prime number, having no divisors other than 1 and itself.

The sum of its decimal digits is 31, giving a digital root of 4. Consequently, 8689 is congruent to 1 modulo 3 and 4 modulo 9. Its location relative to nearby squares places it between 93 squared (8649) and 94 squared (8836), specifically 40 more than 8649.

In other base representations, 8689 is written as 0x21F1 in hexadecimal, and as 0o20761 in octal. Its binary representation, using 16 bits, is 0010000111110001.

As a prime number, 8689 participates in the sequence of prime numbers and serves as a simple example in introductory discussions of primality, modular arithmetic, and numeral systems. Beyond its mathematical properties, 8689 does not carry widely recognized mathematical or historical significance and is typically treated as a representative example of a mid-sized prime in educational contexts.