8381

8381 is an integer that lies between 8380 and 8382. It is an odd, composite number with a straightforward prime factorization.

The prime factorization of 8381 is 17 squared times 29, written as 8381 = 17^2 · 29. Both 17 and 29 are prime, so 8381 is a product of a square of a prime and another distinct prime. This factorization implies that 8381 has exactly six positive divisors: 1, 17, 29, 289 (which is 17^2), 493 (which is 17·29), and 8381 itself.

In modular arithmetic and digit-based checks, 8381 is not divisible by 3 since the sum of its digits is 20. It is congruent to 1 modulo 4 and 5 modulo 8. The number is not a Harshad number, as it is not divisible by the sum of its digits.

As a number with six divisors, 8381 serves as an example in discussions of divisor-counting and prime-power factorization. Its structure—being a square of a prime times another prime—illustrates a common way composite numbers can arise and how their divisor counts are determined.