A number is said to be perfect when the numbers that can be divided into it (its divisors) can be added together to give the number itself.
 
The smallest perfect number is 6, as 1 + 2 + 3 = 6.
 
The number 8 is not a perfect number, as 1 + 2 + 4 are the numbers that divide into 8 and they equal 7 and not 8.
 
Then next smallest perfect number is 28, as 1 + 4 + 7 + 14 = 28.
   
After the numbers 6 and 28 the next perfect numbers are 496 and 8128.
All perfect numbers are even and end in either 6 or 28.

 

(c) Compiled by B V & T M Wood.
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