27894

27894 is a six-digit integer. It falls between the integers 27893 and 27895. In base 10, it is an even number as its last digit is 4. The sum of its digits is 2 + 7 + 8 + 9 + 4 = 30. This means 27894 is divisible by 3, as 30 is divisible by 3. Performing the division, 27894 / 3 = 9298.

The prime factorization of 27894 can be found by first noting it is divisible by 2. 27894 / 2 = 13947. The sum of the digits of 13947 is 1 + 3 + 9 + 4 + 7 = 24, which is divisible by 3. So, 13947 / 3 = 4649. Now, to determine if 4649 is prime, one can test divisibility by prime numbers up to the square root of 4649, which is approximately 68. Testing primes such as 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, and 67 reveals that 4649 is not divisible by any of them. Therefore, 4649 is a prime number. The prime factorization of 27894 is 2 * 3 * 4649.