# FLOWCHART AND ALGORITHM FOR PERFECT NUMBERS

### WHAT ARE PERFECT NUMBERS?

According to the number theory, perfect numbers are the numbers that are equal to the sum of it's divisors excluding the number itself.
For example 6 is a perfect number. The divisors of six are 1,2,3 and 6. So, 1+2+3=6. Illustration of perfect numbers

The sum of the number excluding itself is called aliquot sum. The numbers which are equal to their aliquot sum are perfect numbers. Also, if we add the number itself in the sum of divisors, the for the perfect numbers the sum become double that numbers.
1+2+3+4+5+6=12=6X2.

### FOR LOOP IN C

Since we are going to use for loop in this program, itis necessary for you to know about for loop in C.

Syntax:
```
for (initialization; condition; operation)
{
statements;
}
```

## SOURCE CODE FOR PERFECT NUMBERS IN C

#To display perfect numbers between 1 and 100.

```#include<stdio.h>
#include<conio.h>
main()
{
int i,n,s;

for (n=1;n<=500;n++){
s=0;
for(i=1;i<n;i++)
{
if (n%i==0)
s=s+i;
}

if (n==s)
printf("%d\n",n);
}

getch();
}```

OUTPUT
6
28
496

#TO check if given number is perfect or not.

```#include<stdio.h>
#include<conio.h>
main()
{
int i,n,s=0;
printf("Enter a number");
scanf("%d",&n);
for(i=1;i<n;i++)
{
if (n%i==0)
s=s+i;
}

if (n==s)
printf("%d is perfect number",n);
else
printf("%d isn's perfect number");
getch();
}
```