8929

8929 is a natural number that follows 8928 and precedes 8930. It is a four-digit, odd integer. In mathematics, 8929 is notable as a prime number, having no positive divisors other than 1 and itself. A quick divisibility check shows it is not divisible by any prime up to 89, and since the square root of 8929 is about 94.5, this confirms its primality.

In base representations, 8929 has the following forms: in binary it is 10001011100001_2, in octal it is 21341_8, and in hexadecimal it is 22E1_16. The decimal digit sum of 8929 is 28, giving a digital root of 1; consequently, it is not divisible by 3 or 9, and it is congruent to 1 modulo 3 and modulo 9.

As a prime number, 8929 is part of the sequence of prime numbers and plays a role in elementary number theory as an example of a four-digit prime. Its representations in multiple bases illustrate standard ways of encoding numbers in different numeral systems.

See also: prime numbers, base conversion, number theory.