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.
For example 6 is a perfect number. The divisors of six are 1,2,3 and 6. So, 1+2+3=6.
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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;
}
FLOWCHART FOR FOR LOOP
ALGORITHM FOR PERFECT NUMBERS
Step 1: Start
Step 2: For each numbers find the sum of the factorials excluding the number itself one by one.
Step 3: Display the number if its is equal to its aliquot sum.
Step 4: Stop
FLOWCHART FOR PERFECT NUMBERS
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.
COMMENT DOWN YOUR DOUBTS
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();
}
COMMENT DOWN YOUR DOUBTS
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