Question

# Program to Check whether a given number is a Smith number.(A Smith Number is a composite number whose sum of digits is equal to the sum of digits in its prime factorization)

```				```
Enter a number:4
4 IS A SMITH NUMBER
Prime factorization = 2, 2  and 2 + 2 = 4
Therefore, 4 is a smith number

Enter a number:666
666 IS A SMITH NUMBER
Prime factorization = 2, 3, 3, 37 and
2 + 3 + 3 + (3 + 7) = 6 + 6 + 6 = 18
Therefore, 666 is a smith number
```
```

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Code

```				```
import java.util.Scanner;
public class SmithNumber
{
public static boolean isPrime(int number)
{
int j=0;
for(j=2;j<=(number/2);j++)
{

if(number%j==0)
{
return false;
}
}
return true;

}

public static void main()
{
int sumd=0,sump=0,n=0,i=0,temp=0,temp1=0;
Scanner sc=new Scanner(System.in);
System.out.print("Enter a number");
n=sc.nextInt();
temp=n;
while(temp>0)
{
sumd=sumd+(temp%10);
temp=temp/10;
}
temp=n;
for(i=2;i<=n/2;i++)
{
while(temp%i==0)
{
if(i<4)
{
sump=sump+i;
temp=temp/i;

}
else
{
if(isPrime(i)==true)
{
temp1=i;
while(temp1>0)
{
sump=sump+(temp1%10);
temp1=temp1/10;
}
temp=temp/i;

}

}
}
}
if(sumd==sump)
{
System.out.println(n+" IS A SMITH NUMBER");
}
else
{
System.out.println(n+" IS NOT A SMITH NUMBER");
}
}
}

```
```

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