The Amazing Concepts

In Mathematics, one of the amazing concepts is the Reverse-Add-Then-Sort (RATS) Sequence. The RATS Sequence is a sequence that is formed by reversing , adding , then sorting the digits. Let's understand this concept in detail: Form the RATS Sequence Step 1 : Consider any number (must be greater than 0). Step 2 : Reverse the number. Step 3 : Add the original number (considered in Step 1) with the number formed by reversing the number (in Step 2). Step 4 : Sort the number obtained in Step 3 in ascending order. The resultant obtained after sorting the number forms the next sequence after n iteration. Examples First Iteration Step 1 : Number 1 . Step 2 : Reversing the number 1  gives the resultant  1 . Step 3 : Adding the original number 1 (considered in Step 1) with the number formed by reversing (in Step 2)  i.e. 1 gives the resultant 2 . Step 4 : Sorting the number obtained in Step 3 in ascending order gives the resultant 2 . Here number 2 forms the next sequence after...

You might have heard the term black hole . A black hole is a region of spacetime where gravity is so strong that even light or electromagnetic waves cannot escape it. In Mathematics, the number 123 is called the black hole number. Let’s understand this amazing concept in detail. The Procedure Step 1 : Consider any number . Step 2 : Count the number of even digits. Step 3 : Count the number of odd digits. Step 4 : Count the number of total digits. Step 5 : Consider the number (" even " " odd " " total ") obtained in the n   iteration. Step 6 : Repeat the steps ( Step 1 to Step 5 ) after every iteration until you get the number (" even " " odd " " total ") as  123 . Note : If you repeat the steps ( Step 1 to Step 5 ) even after getting the number 123, you will obtain the same number i.e. 123 after every iteration. Example First Iteration Step 1 : Number 1234567890 . Step 2 : Number of  even  digits = 5 . Step 3 : Number of...