## Task 4 - 040714

A natural number is called a perfect number if it is equal to the sum of its proper divisors. The number 12, for example, has the proper divisors 1, 2, 3, 4, 6 and, as we can see, is not a perfect number.

Which perfect numbers are there among the natural numbers from 1 to 30?
One writes down the proper divisors of the natural numbers from 2 to 30 for each of these numbers and forms the sum for each. In doing so, one finds

$$
6=1+2+3 \quad \text { and } \quad 28=1+2+4+7+14
$$