6700

6700 is a natural number that follows 6699 and precedes 6701. It is an even, composite integer with several notable mathematical properties.

The prime factorization of 6700 is 2^2 × 5^2 × 67. Because of this factorization, 6700 has 18 positive divisors and is divisible by 2, 4, 5, 10, 20, 25, 50, and 100, among others. The sum of its digits is 13, so it is not divisible by 3 or 9. It is not a prime and not a perfect square.

6700 is an abundant number, meaning the sum of its positive divisors exceeds twice the number itself. The sum of divisors is 14756, which is greater than 2 × 6700 = 13400, giving an abundance of 2356.

In popular culture and technology, 6700 has been used as a model name for consumer electronics. Notably, Nokia released mobile phones such as the 6700 Classic and the 6700 Slide, around 2009, which helped popularize the number in mainstream devices. Model numbers like 6700 are also used in other product lines, engineering catalogs, and sometimes as postal or regional identifiers in various systems.

Overall, 6700 is a small but mathematically rich composite number with practical recognition through its use in product naming. It highlights how numeric labels can cross from abstract arithmetic into everyday technology and geography.