//Magic
Numbers : When the sum of digits of a number resultant to 1
//e.g.
19 = 1 + 9 = 10 = 1+ 0 = 1
import
java.io.*;
class Magic_Happy
{
public static void main(String
args[])throws IOException
{
Magic_Happy MH=new
Magic_Happy();
BufferedReader Br=new
BufferedReader(new InputStreamReader(System.in));
int n;
boolean flag;
System.out.print("\n\tEnter
a number ");
n=Integer.parseInt(Br.readLine());
if(MH.Magic(n))
{
System.out.print("\n\t"+n+" is a Magic Number");
}
else
{
System.out.print("\n\t"+n+" is not a Magic Number");
}
if(MH.Happy(n))
{
System.out.print("\n\t"+n+"
is a Magic Number");
}
else
{
System.out.print("\n\t"+n+" is not a Magic Number");
}
}
boolean Magic(int n)
{
int m=n,s=0;
while(m>9)
{
s=0;
while(m!=0)
{
s=s+m%10;
m=m/10;
}
m=s;
}
if(s==1)
{
return true;
}
return false;
}
//when
sum of the squares of its digits of a number is = 1
//Happy
Numbers : 28 = 22 + 82 = 4 + 64 = 68 = 62 + 82 =100 =1
boolean Happy(int n)
{
int m=n,s=0;
while(m>9)
{
s=0;
while(m!=0)
{
s=s+(int)Math.pow(m%10,2);
m=m/10;
}
m=s;
}
if(s==1)
{
return true;
}
return false;
}
}
Output
Enter a number 19
19 is a Magic Number
19 is a Happy Number
Enter a number 37
37 is a Magic Number
37 is not a Happy Number
//
A composite number that the sum of the number's digits equals the sum of the
digits of its distinct prime factors.
//
hoax numbers are 22, 58, 84, 85, 94, 136, 160, 166, 202, 234,
import
java.io.*;
class hoax
{
int n;
hoax()
{}
hoax(int a)
{
n=a;
}
int digitsum(int n1)
{
int r,s=0;
while(n1>0)
{
r=n1%10;
s=s+r;
n1=n1/10;
}
return s;
}
int prime(int n2)
{
int m,f1=0;
for(m=2;m
{
if(n2%m==0)
{
return 0;
}
}
return 1;
}
void main()throws IOException
{
int i,j,s1=0;
BufferedReader br=new
BufferedReader(new InputStreamReader(System.in));
System.out.print("\n\tHoax No : ");
int
x=Integer.parseInt(br.readLine());
hoax ob=new hoax(x);
for(i=2;i
{
if(x%i==0
&& ob.prime(i)==1)
{
s1=s1+ob.digitsum(i);
}
}
if(s1==ob.digitsum(x))
{
System.out.println("\n\t"+x+" is a hoax number");
}
else
{
System.out.println("\n\t"+x+" is not a hoax
number");
}
}
}
Output
Hoax No : 22
22 is a hoax number
Hoax No : 33
33 is not a hoax number
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