Design a class Perfect to check if a given number is a perfect number or not. [A number is said to be perfect if sum of the factors of the number excluding itself is equal to the original number]
Example : 6 = 1 + 2 + 3 (where 1, 2 and 3 are factors of 6, excluding itself) Some of the members of the class are given below :
Class name : Perfect
Data members/instance variables num : to store the number
Methods/Member functions : Perfect (int nn) parameterized constructor to initialize the data member num=nn
int sum_of_factors (int i) : returns the sum of the factors of the number(num), excluding itself, using recursive technique
void check ( ) : checks whether the given number is perfect by invoking the function sum_of_factors ( ) and displays the result with an appropriate message
Specify the class Perfect giving details of the constructor ( ), int sum_of_factors(int) and void check ( ). Define a main ( ) function to create an object and call the functions accordingly to enable the task.