Skip to main content

C Program to Check whether a given number is Perfect or Not

 C Program to Check whether a given number is Perfect or Not.


In this exmaple we will learn to check a given number is a Perfect Number or not. 


LOGIC OF PERFECT SQUARE NUMBER:

  • At first we have declared variables i,num,sum=0(value is initialized to zero). 

  • Then we have inputted the number from the user and stored in num.

  • After that we have to to add a loop i=1 till num/2 and to increment the iteration by 1. You all must be thinking why we have to run the loop till num/2 because a number does not have any positive integer greater than the half of the number that is num/2.

  • Then we have to check whether the remainder of num%i is equal to zero or not. If it is equal then the value of i is a proper divisor of the number entered by the user and it is added to sum.

  • Now we have to check if the sum of the proper divisors of the number equal to the original number. If it is equal then the number entered by the user is a perfect number otherwise it is not a perfect number.


PROGRAM OF PERFECT NUMBER:

#include<stdio.h>
int main()
{
    int i,num,sum=0;
    printf("Enter any number to check perfect number:");
    scanf("%d",&num);
    for(i=1;i<=num/2;i++)
    {
        if(num%i==0)
        {
            sum+=i;
        }
    }
    if(sum==num)
    {
        printf("%d is PERFECT NUMBER\",num);
    }
    else
    {
        printf("%d is NOT A PERFECT NUMBER",num);
    }
    return 0;
}


OUTPUT:

C Program to Check whether a given number is Perfect or Not


PERFECT NUMBER:


Perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. 


  • There are 51 known perfect numbers in total.

  • First five perfect numbers are 6,28,496,8128 and 33550336

  • There are only 2 perfect numbers between 1 to 100 and 3 perfect numbers between 1 to 1000.

  • Euclid was the first individual to categorize the perfect numbers.

Comments

Popular posts from this blog

C Program to determine the Range and Average of the values entered by the user(to terminate enter -1).

C Program to determine the Range and Average of the values entered by the user(to terminate enter -1).     This is a program to calculate the range and average of the values entered by the user and to terminate it by entering -1 and it will determine the highest-value, lowest-value, range, average and also it will count the number of values entered by the user. PROGRAM: #include <stdio.h> #include <math.h> int   main () {      int   count = 0 ;      float   value , high , low , average , range , sum = 0 ;      printf ( "Enter the values (to terminate enter -1) : \n " );      while ( 1 )     {          scanf ( "%f" ,& value );          if ( value !=- 1 )         {      ...

C program to display the upper triangle and lower triangle of the given square Matrix using function

 C program to display the upper triangle and lower triangle of the given square Matrix using function     In this example, we will display the upper triangle and lower triangle of a given square matrix using function. Here in the output section we have taken a 3x3 matrix whose values are entered as shown in the output. After entering the elements of the square matrix it will display the upper triangle and lower triangle of the matrix entered. PROGRAM TO DISPLAY THE UPPER TRIANGLE AND LOWER TRIANGLE OF THE GIVEN SQUARE MATRIX USING FUNCTION #include <stdio.h> #include <conio.h> void  uppert( int , int , int  [100][100]); void  lowert( int , int , int  [100][100]); void  main() {      int  i,j,c,d,a[100][100];     printf( "Enter the size of the given square matrix : " );     scanf( "%d" ,&c);     d=c; ...

C++ program to define a class circle to represent circles. Add a data member radius to store the radius of a circle. Write member functions area() and perimeter() to compute the area and perimeter of a circle.

  C++ program to define a class circle to represent circles. Add a data member radius to store the radius of a   circle. Write member functions area() and perimeter() to compute the area and perimeter of a circle.     To define a Circle class in C++, we start by declaring the class with the class keyword, followed by the name of the class. In this case, we'll call it Circle . We'll then define a private data member to store the radius of the circle. Here's the code to do that:    class Circle {      private:      double radius;    };          Next, we need to define public member functions that can set and get the value of the radius, as well as calculate the area and perimeter of the circle. Here's the full code for the Circle class: class Circle { private: double radius; public: void setRadius(double r) { radius = r; } dou...

C Program to check if a given square matrix is symmetric or not using function

 C Program to check if a given square matrix is symmetric or not using function.     In this example, we will check if a given square matrix entered by the user is symmetric or not. Here in the output we have taken a square matrix of 3x3. PROGRAM TO CHECK IF A GIVEN SQUARE MATRIX IS SYMMETRIC OR NOT USING FUNCTION #include <stdio.h> #include <conio.h> void  symmetric( int , int , int  [50][50]); void  main() {      int  row,column,i,j,a[50][50];     printf( "Enter the size of the matrices: " );     scanf( "%d" ,&row);     column=row;     printf( "Enter the matrix : " );      for (i=0;i<row;i++)     {          for (j=0;j<column;j++)         {    ...

C program to calculate area of a circle using function.

C program to calculate area of a circle. In this example we will learn to calculate the area of a circle. Here in this program we will use 3.14 as the value of pi.  The formula to calculate the area of a circle is:                                                         area=   π  r² Flowchart To Calculate the Area of a Circle: PROGRAM: #include <conio.h> #include <stdio.h> int   main () {      float   radius , area ;      printf ( "Enter the radius of the circle : " );      scanf ( "%f" ,& radius );      area = 3.14 * radius * radius ;          printf ( "Area of the circle is : %.2f" , area );  ...