6195

6195 is a natural number that sits between 6194 and 6196. In mathematics, it is noted for its factorization and divisor structure.

Its prime factorization is 3 × 5 × 7 × 59, making it a squarefree composite number with four distinct prime factors. Accordingly, the number of divisors is 16, and the sum of its positive divisors is 11,520. The sum of its proper divisors is 5,325.

Euler's totient function for 6195 is 2,784, since φ(n) = n times the product of (1 − 1/p) over its prime divisors. Consequently, there are 2,784 integers less than 6195 that are relatively prime to 6195.

In base 10, the digits of 6195 are 6, 1, 9, and 5, summing to 21. This makes 6195 a Harshad (Niven) number in base 10, as it is divisible by the sum of its digits.

The number is odd and squarefree, not a prime or a prime power. Its residues modulo small bases include being congruent to 3 modulo 4, and divisible by 3 and by 5.

Beyond pure mathematics, 6195 can appear as an identifying code or catalog number in various datasets or systems. This article focuses on the numerical properties of the integer 6195 itself.