Perfect Numbers

Notes

• The applet creates a table determining whether number is deficient, perfect or abundant.
• The numbers chosen can be between 1 and 1,000,000.
• The maximum number of lines is 10,000 (that is, no more than 10,000 between begin and finish).

Deficient, Perfect and Abundant Numbers

All three groups of numbers use the list of factors for a given number. If all the factors are added together (not including the number itself) then there are three possibilities:

• the number is a deficient number (the total of factors is less than the number);
• the number is a perfect number (the total of factors is equal to the number); or
• the number is an abundant number (the total of factors is greater than the number).