3393

3393 is a natural number that sits between 3392 and 3394. It is odd and composite. Its digits sum to 18, so it is divisible by 9.

Its prime factorization is 3^2 × 13 × 29, which implies a divisor count of (2+1)×(1+1)×(1+1) = 12. The divisors are 1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, and 3393.

The sum of the proper divisors of 3393 is 2067, which is less than 3393. Therefore, 3393 is a deficient number, meaning it does not equal the sum of its proper divisors.

In various bases, 3393 has the representations: binary 110101000001, octal 6501, and hexadecimal D41.

Euler’s totient function yields φ(3393) = 2016. This value reflects the count of integers up to 3393 that are relatively prime to 3393.

Overall, 3393 is not a prime and is not a perfect square or cube. It serves as an example of a composite number with a factorization into a square of a small prime and two larger primes.