9804

9804 is a natural number that lies between 9803 and 9805. In mathematics, it is an even composite number with prime factorization 2^2 × 3 × 19 × 43. Because of this factorization, 9804 has 24 positive divisors and is divisible by 2, 3, 4, 6, and 12, among other divisors. It is not a prime, nor a perfect square or cube; in particular, since the prime exponents are not all even, 9804 is not a square. An equivalent factorization is 9804 = 12 × 817, with 817 further factoring as 19 × 43.

In numeral representations, 9804 can be expressed in several common bases. In binary it is 10011001001100. In octal it is 23114. In hexadecimal it is 0x264C. An interesting nearby relation is 9804 = 99^2 + 3, since 99^2 equals 9801.

From a modular arithmetic perspective, 9804 is congruent to 3 modulo 9 (since the sum of its digits is 21, which reduces to 3), and it is congruent to 0 modulo 3. These simple congruences reflect its divisibility by 3 and its remainder properties in different bases.

As a numeric value, 9804 does not have widely noted special properties beyond its factorization and base representations. It serves as an example of an even, composite four-prime product (2^2 × 3 × 19 × 43) within the natural numbers.