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Perfect Number
What is a Perfect number?
A perfect number is defined to be one which is equal to the sum of all its divisible number. For example let us consider a number 6, the numbers which are all divisible by 6 are 1, 2, 3. Then 1 + 2 + 3 = 6 . Thus 6 is a perfect number.
Perfect Number - Examples
Some of the following perfect numbers are
| Number | Explanation |
|---|---|
| 6 | 1 + 2 + 3 |
| 28 | 1 + 2 + 4 + 7 + 14 |
| 496. | 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 |
| 8128 | 1 + 2 + 4 + 8 + 16 + 32 + 64 + 127 + 254 + 508 + 1016 + 2032 + 4064 |
C Program - To Find a Perfect Number
Let us write a c program to find whether a user entered number is a perfect number or not.
#include <stdio.h>
int main()
{
int a, b, num;
printf("Enter a number : ");
scanf("%d",&num);
a = 1;
b = 0;
while(num > a)
{
if(num % a == 0)
b = b + a;
a++;
}
if(b == num)
printf("\n%d is a perfect number", a);
else
printf("\n%d is not a perfect number", a);
return 0;
}
Enter a number : 28 28 is a perfect number
Note:
while loop is used for iterating a value from 1 to one number less than user entered number. If the numbers from 1 is divisible by user entered number, then the numbers are added in a dummy variable b. finally we check whether b == user entered number. If so we will declare as a perfect number else it will be declared as not a perfect number.
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