6705

6705 is a four-digit composite number with interesting mathematical properties. It is an odd integer that can be factored into prime components as 3² × 5 × 149. The number is divisible by 5, as indicated by its final digit, and also by 3, since the sum of its digits (6 + 7 + 0 + 5 = 18) is divisible by 3. After dividing by these factors, we find that 149 is a prime number, completing its prime factorization.

In numerical sequences, 6705 does not appear to have significant status as a Fibonacci number, square, or cube. It is not a Harshad number because it is not divisible by the sum of its own digits. The number falls between the squares of 81 (6561) and 82 (6724), making it a non-square integer. While it may not have widespread cultural or historical significance, 6705 serves as an example of a composite number with multiple prime factors, demonstrating fundamental concepts in number theory.