### What is a Perfect number:

Perfect Number is a number in which sum of all its positive divisors excluding that number is equals to the number.

For example: 6

Sum of divisors = 1+2+3 = 6

**Here we will find perfect numbers between 1 and 500.**

### Program explanation:

- Take first number as 1.
- Use a while loop to generate numbers from 1 to 500 (where 500 is not included as we need the sum of the proper divisors of the number).
- Using an if statement check if the number divided by ‘i’ gives the remainder as 0 which is basically the proper divisor of the integer.
- Then the proper divisors of the number are added to the sum variable.
- If the sum of the proper divisors of the number is equal to the original number, the number is a Perfect number.
- The final result is printed.

### C++ Program to find perfect numbers between 1 and 500:

#include<iostream> using namespace std; int main() { int i=1, u=1, sum=0; while(i<=500) { // start of first loop. while(u<=500) { //start of second loop. if(u<i) { if(i%u==0 ) sum=sum+u; } //End of if statement u++; } //End of second loop if(sum==i) { cout<<i<<" is a perfect number."<<"\n"; } i++; u=1; sum=0; } //End of First loop return 0; } //End of main

### OUTPUT:

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