6904

6904 is a natural number that comes after 6903 and before 6905. It is an even, composite integer with a prime factorization of 2^3 × 863, where 863 is a prime number. Because of this factorization, the positive divisors of 6904 are 1, 2, 4, 8, 863, 1726, 3452, and 6904, for a total of eight divisors.

Properties of 6904 include its parity and divisibility characteristics. The sum of its digits is 6 + 9 + 0 + 4 = 19, so 6904 is not divisible by 3 or 9. It is divisible by 2 and by 8, reflecting its factorization. In modular arithmetic terms, 6904 ≡ 0 (mod 8) and 6904 ≡ 0 (mod 2). In decimal form it ends with 4, so it is congruent to 4 modulo 5.

In different numeral bases, 6904 has representations such as hexadecimal and binary. It equals 0x1AF8 in hexadecimal, and its binary form is 11010111111000 (or 0001101011111000 when expressed as a 16-bit value).

As a representative composite number, 6904 is often used in introductory number theory and arithmetic examples to illustrate prime factorization, divisor counting, and base conversions. It does not belong to the set of primes or prime powers, illustrating how composite numbers can be constructed from multiple prime factors.