199495

199,495 (one hundred ninety-nine thousand four hundred ninety-five) is an integer in the base-10 numeral system. It is odd and composite, since it is divisible by 5.

Its prime factorization is 5 × 17 × 2,347. Dividing by 5 yields 39,899, which factors as 17 × 2,347; 2,347 is prime. Therefore 199,495 has three distinct prime factors.

As a result, 199,495 is not a prime, nor a square or higher power. Its divisors can be derived from its prime factorization. The sum of all positive divisors, sigma(n), equals (1+5)(1+17)(1+2347) = 6 × 18 × 2348 = 253,584. The sum of proper divisors (excluding the number itself) is 253,584 − 199,495 = 54,089. Since this is less than 199,495, the number is deficient.

Euler’s totient function for 199,495 is phi(199,495) = 199,495 × (1 − 1/5) × (1 − 1/17) × (1 − 1/2347) = 150,144. This value counts the positive integers up to 199,495 that are relatively prime to the number.

In modular arithmetic, 199,495 is congruent to 0 modulo 5, 0 modulo 17, and 0 modulo 2,347, reflecting its prime factors. As a three-prime-factor integer, 199,495 serves as a straightforward example of a composite number with a simple, small-factor structure.