# C++ Exercises: Find Perfect numbers and number of Perfect numbers between 1 to 1000

## C++ Numbers: Exercise-5 with Solution

Write a program in C++ to find Perfect numbers and the number of Perfect numbers between 1 and 1000.

**Visual Presentation:**

**Sample Solution**:

**C++ Code :**

```
# include <iostream> // Include necessary libraries
# include <string>
using namespace std;
int main()
{
int i = 1, u = 1, sum = 0, ctr = 0; // Initialize variables i, u, sum, and ctr
cout << "\n\n Find the Perfect numbers and number of Perfect numbers between 1 to 1000:\n"; // Display message for user
cout << "------------------------------------------------------------------------------\n";
cout << "The Perfect numbers are : \n"; // Display message for user
while (i <= 1000) // Loop through numbers from 1 to 1000
{
while (u <= 1000) // Nested loop to find divisors of i
{
if (u < i) // Check if u is less than i
{
if (i % u == 0) // Check if u is a divisor of i
sum = sum + u; // Add u to the sum if it's a divisor of i
}
u++; // Increment u by 1 in each iteration
}
if (sum == i) // Check if the sum of divisors is equal to i
{
ctr++; // Increment the counter if the number is perfect
cout << i << " is a Perfect number." << "\n"; // Display if i is a Perfect number
}
i++; // Move to the next number
u = 1; // Reset u to 1 for the next iteration
sum = 0; // Reset sum for the next iteration
}
cout << "Number of Perfect numbers between 1 to 1000 is: " << ctr << "\n"; // Display the count of Perfect numbers
}
```

Sample Output:

Find the Perfect numbers and number of Perfect numbers between 1 to 1000: ------------------------------------------------------------------------------ The Perfect numbers are : 6 is a perfect number. 28 is a perfect number. 496 is a perfect number. Number of perfect numbers between 1 to 1000 is: 3

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