[ ::: ♥Keep_Mailing♥ ::: ]™ The 4..2..1..Mathematical Loop

•    Select any whole number. 
• If it is an even number, divide by 2; if it is odd number multiply by 3 and add 1. 
• Repeat the process mentioned in step 2 until you get the loop value 4, 2, 1 in repetition. 
  

Example 

  Whole number is 15. 

  15 is an odd no; so (15 × 3) + 1 = 46 

  46 is an even no; so 46 / 2 = 23 

  23 is an odd no; so (23 × 3) + 1 = 70 

  70 is an even no; so 70 / 2 = 35 

  35 is an odd no; so (35 × 3) + 1 = 106 

  106 is an even no; so 106 / 2 = 53 

  53 is an odd no; so (53 × 3) + 1 = 160 

  160 is an even no; so 160 / 2 = 80 

  80 is an even no; so 80 / 2 = 40 

  40 is an even no; so 40 / 2 = 20 

  20 is an even no; so 20 / 2 = 10 

  10 is an even no; so 10 / 2 = 5 

  5 is an odd no; so (5 × 3) + 1 = 16 

  16 is an even no; so 16 / 2 = 8 

  8 is an even no; so 8 / 2 = 4 

  4 is an even no; so 4 / 2 = 2 

  2 is an even no; so 2 / 2 = 1 

  1 is an odd no; so (1 × 3) + 1 = 4 

  4 is an even no; so 4 / 2 = 2 

  2 is an even no; so 2 / 2 = 1 

  So the loop 4..2..1 goes on and on.

 

Best Regards,
Bishwaranjan Barik