6097

6097 is a natural number that follows 6096 and precedes 6098. It is a four-digit integer in the decimal system.

In terms of factorization, 6097 is composite and factors as 7 × 13 × 67. Its positive divisors are 1, 7, 13, 67, 91, 469, 871, and 6097. Because it is a product of distinct primes, 6097 is square-free. It has exactly 2^3 = 8 divisors.

From a modular arithmetic perspective, 6097 is odd, and it is congruent to 1 modulo 2, 3, 4, and 8. Specifically, 6097 ≡ 1 (mod 3), ≡ 1 (mod 4), and ≡ 1 (mod 8). Its digit sum is 6 + 0 + 9 + 7 = 22, so it is not divisible by 3.

As a four-digit integer, 6097 does not stand out for a particular widely recognized mathematical property beyond its factorization and basic divisor structure. It serves as a representative example of a square-free composite number with three distinct prime factors.

See also: integers in the 6000s, properties of composite numbers, and square-free numbers.