6404

6404 is a natural number that follows 6403 and precedes 6405. It is an even and composite integer, part of the sequence of integers in the 6400s.

Its prime factorization is 2^2 × 1601, where 1601 is a prime number. Consequently, the divisors of 6404 are 1, 2, 4, 1601, 3202, and 6404. The sum of its proper divisors is 1 + 2 + 4 + 1601 + 3202 = 4810, which is less than 6404, so 6404 is a deficient number (not a perfect number).

In different numeral systems, 6404 is represented as follows: in binary it is 0001100100000100, in hexadecimal it is 0x1904, and in octal it is 14404. It is divisible by 4 but not by 8, since the last three bits are not all zeros, while the last two digits in base 10 are 04.

There is no widely noted cultural or historical significance attached to 6404, and it does not correspond to a well-known mathematical constant, perfect square, or common geometric quantity. In typical number-theory contexts, it appears mainly as an example of a small composite number with a straightforward prime factorization and a concise set of divisors.