6704

6704 is a positive integer. It is even and composite, arising from the factorization 6704 = 16 × 419. Since 419 is prime, the prime factorization is 2^4 × 419. As a result, 6704 has 10 positive divisors: 1, 2, 4, 8, 16, 419, 838, 1676, 3352, and 6704. The number is not a prime and is not a perfect square.

In terms of modular and representation properties, 6704 is divisible by 16 but not by 32. Its digit sum is 17, so it is not divisible by 3. In binary, 6704 equals 1101000110000_2, and in hexadecimal it is 0x1A30.

A notable number-theoretic property is that 6704 cannot be expressed as a sum of two squares. This follows from its prime factorization, since 419 ≡ 3 (mod 4) with an odd exponent, which precludes representations of the form a^2 + b^2.

In broader terms, 6704 sits among the even, non-prime integers used in various arithmetic examples and cataloging systems. As a four-digit integer, it can appear in mathematical discussions, computational tasks, and enumeration contexts where explicit factorization and divisibility are relevant. The number itself does not carry a widely recognized mathematical constant or named significance beyond its basic properties.