C++ Exercises: Check whether a given number is Deficient or not

Last update on April 12 2025 13:00:49 (UTC/GMT +8 hours)

6. Deficient Number Check

Write a program in C++ to check whether a given number is Deficient or not.

Visual Presentation:

C++ Exercises: Check whether a given number is Deficient or not

Sample Solution:

C++ Code :

#include <bits/stdc++.h> // Include all standard libraries
using namespace std;

// Function to calculate the sum of divisors of a number 'n'
int getSum(int n)
{
    int sum = 0;
    for (int i = 1; i <= sqrt(n); i++) // Loop to find divisors up to square root of 'n'
    {
        if (n % i == 0) // Check if 'i' is a divisor of 'n'
        {
            if (n / i == i) // If 'i' is a square root divisor of 'n', add 'i' to sum
                sum = sum + i;
            else // Otherwise, add both 'i' and 'n/i' to sum
            {
                sum = sum + i;
                sum = sum + (n / i);
            }
        }
    }
    sum = sum - n; // Subtract 'n' to get the sum of proper divisors
    return sum; // Return the sum of divisors
}

// Function to check if a number is deficient or not
bool checkDeficient(int n)
{
    return (getSum(n) < n); // Return true if the sum of divisors is less than 'n'
}

int main()
{
    int n;
    cout << "\n\n Check whether a given number is a Deficient number:\n";
    cout << " --------------------------------------------------------\n";
    cout << " Input an integer number: ";
    cin >> n; // Input the number

    // Check if the number is deficient and display the result
    checkDeficient(n) ? cout << " The number is Deficient.\n" : cout << " The number is not Deficient.\n";
    return 0; // Return 0 to indicate successful completion
}

Sample Output:

Check whether a given number is an Deficient number:                  
 --------------------------------------------------------              
 Input an integer number: 25                                           
 The number is Deficient.

Flowchart:

For more Practice: Solve these Related Problems:

Write a C++ program to check if a number is deficient by comparing the sum of its proper divisors to itself.
Write a C++ program to verify deficiency of a number using a recursive function to accumulate divisors.
Write a C++ program to test if a number is deficient with inline functions and a ternary operator for output.
Write a C++ program to determine deficiency by processing divisor sums in a single pass through the number’s factors.

C++ Code Editor:

Contribute your code and comments through Disqus.

Previous: Write a program in C++ to find Perfect numbers and number of Perfect numbers between 1 to 1000.
Next: Write a program in C++ to find the Deficient numbers (integers) between 1 to 100.