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Composite

This program displays all magic composite numbers between 1 and 100. A magic composite number is a composite number that gives 1 when the digits of the number and the sum of the digits are repeatedly added until a single digit number is reached. The program uses nested for loops to check each number for being composite and giving 1 upon repeated digit addition. It initializes variables to store the number, sum, digits and number of factors. It then prints any numbers meeting the magic composite criteria.

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18 views3 pages

Composite

This program displays all magic composite numbers between 1 and 100. A magic composite number is a composite number that gives 1 when the digits of the number and the sum of the digits are repeatedly added until a single digit number is reached. The program uses nested for loops to check each number for being composite and giving 1 upon repeated digit addition. It initializes variables to store the number, sum, digits and number of factors. It then prints any numbers meeting the magic composite criteria.

Uploaded by

swastiksantra774
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Program 1

/**
Write a program to display all the magic composite numbers from 1 to 100.
A magic composite number is a composite number which gives 1 after repeated addition of the digits of
the sum of digits.
Eg : 64 is a magic composite number. Since 6+4=10 and 1+0=1
**/
ALGORITHM
Step 1: Start

Step 2 : declaration of class

Step 3 : declaration of main()

Step 4 : print “the composite magic numbers are :”

Step 5 : For i←1 to 100 step value 1

a←i

s←i

c←0

For j←1 to a step value 1

If a%j is equal to 0 then c++

End of j loop

while s>9

n←s

s←0

while n>0

d←n%10

s←s+d

n←n/10

End of inner while loop

End of Outer while loop

If s is equal to 1 and c not equal to 2 then print a

End of i loop

Step 6 : Stop
CODING
import java.util.*;
class MagiCompNumber
{
public static void main()
{
Scanner sc=new Scanner(System.in);
int a,n,s,d,i,j,c;
System.out.println("The composite magic numbers from 1 to 100 are :");
for(i=1;i<=100;i++)
{
a=i;
s=i;
c=0;
for(j=1;j<=a;j++)
{
if(a%j==0)
c++;
}//ending of inner loop
while (s>9)
{
n=s;
s=0;
while(n>0)
{
d=n%10;//extracting the digits.
s=s+d;
n=n/10;
}//ending of while loop
}
if (s==1&&c!=2)
System.out.println(a);//printing the magic composite number.
}
}
}

VARIABLE DESCRIPTION
SL VARIABLE DATA STORAGE SCOPE DESCRIPTION
NO. NAME TYPE

1. a int 4 bytes local To store temporarily the number to be


checked for being magic composite
2. n int 4 bytes local To store the number to be checked for magic
number
3. s int 4 bytes local To store the sum of the squares of the digit.

4. i int 4 bytes local Used as counter for outer for loop

5. j int 4 bytes local Used as counter for outer for loop

6. c int 4 bytes local Used for counting the no. of factors

7. d int 4 bytes local Used for storing the digits.

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