38665

38665 is a five-digit integer. In mathematics, it is an odd composite number with a prime factorization of 5 × 11 × 19 × 37. Because the prime factors are distinct, the number is square-free and has 16 positive divisors.

The digits of 38665 are 3, 8, 6, 6, and 5, with a digit sum of 28. This means the number is not divisible by 3. It is divisible by 5, since it ends in 5. The full prime factorization also implies divisibility by 11, 19, and 37, in the sense that these primes participate in its construction.

In standard representations, 38665 is written in binary as 1001011100001001, and in hexadecimal as 0x9709. In octal the number is 113411.

The sum of all positive divisors of 38665, denoted sigma(n), can be computed from its prime factors as (1+5)(1+11)(1+19)(1+37) = 6 × 12 × 20 × 38 = 54,720. Therefore, the sum of proper divisors is 54,720 − 38,665 = 16,055, which is less than 38665. Consequently, 38665 is a deficient number.

As a product of four distinct primes, 38665 has 16 divisors in total and serves as an example of a square-free composite number in number theory discussions.