Program to print Collatz Sequence

Starting with any positive integer N, Collatz sequence is defined corresponding to n as the numbers formed by the following operations :

  1. If n is even, then n = n / 2.
  2. If n is odd, then n = 3*n + 1.
  3. Repeat above steps, until it becomes 1.

Examples :

Input : 3
Output : 3, 10, 5, 16, 8, 4, 2, 1       

Input : 6
Output : 6, 3, 10, 5, 16, 8, 4, 2, 1

Below is the implementation :

C++

filter_none

edit
close

play_arrow

link
brightness_4
code

// CPP program to print Collatz sequence
#include <bits/stdc++.h>
using namespace std;
  
void printCollatz(int n)
{
    // We simply follow steps
    // while we do not reach 1
    while (n != 1)
    {
        cout << n << " ";
  
        // If n is odd
        if (n & 1)
            n = 3*n + 1;
  
        // If even
        else
            n = n/2;
    }
  
    // Print 1 at the end
    cout << n;
}
  
// Driver code
int main()
{
    printCollatz(6);
    return 0;
}

chevron_right


Java

filter_none

edit
close

play_arrow

link
brightness_4
code

// Java program to print
// Collatz sequence
import java.io.*;
  
class GFG 
{
    static void printCollatz(int n)
    {
        // We simply follow steps
        // while we do not reach 1
        while (n != 1)
        {
            System.out.print(n + " ");
      
            // If n is odd
            if ((n & 1) == 1)
                n = 3 * n + 1;
      
            // If even
            else
                n = n / 2;
        }
      
        // Print 1 at the end
        System.out.print(n);
    }
      
    // Driver code
    public static void main (String[] args) 
    {
        printCollatz(6);
    }
}
  
// This code is contributed
// by akt_mit

chevron_right


Python3

filter_none

edit
close

play_arrow

link
brightness_4
code

# Python 3 program to print 
# Collatz sequence 
  
def printCollatz(n):
      
    # We simply follow steps
    # while we do not reach 1
    while n != 1:
        print(n, end = ' ')
  
        # If n is odd 
        if n & 1:
            n = 3 * n + 1
  
        # If even 
        else:
            n = n // 2
  
    # Print 1 at the end 
    print(n)
  
# Driver code 
printCollatz(6)
  
# This code is contributed 
# by vaibhav29498

chevron_right


C#

filter_none

edit
close

play_arrow

link
brightness_4
code

// C# program to print Collatz sequence
using System;
  
class GFG {
      
    static void printCollatz(int n)
    {
        // We simply follow steps
        // while we do not reach 1
        while (n != 1)
        {
            Console.Write (n + " ");
      
            // If n is odd
            if ((n & 1) == 1)
                n = 3 * n + 1;
      
            // If even
            else
                n = n / 2;
        }
      
        // Print 1 at the end
        Console.Write (n);
    }
      
    // Driver code
    static void Main()
    {
        printCollatz(6);
    }
}
  
// This code is contributed by 
// Manish Shaw (manishshaw1)

chevron_right


PHP

filter_none

edit
close

play_arrow

link
brightness_4
code

<?php
// PHP program to print Collatz sequence
  
function printCollatz($n)
{
    // We simply follow steps
    // while we do not reach 1
    while ($n != 1)
    {
        echo $n . " ";
  
        // If $n is odd
        if ($n & 1)
            $n = 3 * $n + 1;
  
        // If even
        else
            $n = $n / 2;
    }
  
    // Print 1 at the end
    echo $n;
}
  
// Driver code
printCollatz(6);
  
// This code is contributed 
// by ChitraNayal
?>

chevron_right



Output

6 3 10 5 16 8 4 2 1


My Personal Notes arrow_drop_up

Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.





Article Tags :
Practice Tags :


1


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.