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The Number 1089: A Magical Number

The number 1089 is considered a magical number as far as the number theory is concerned. Why is this number considered a magical number? The answer to this question is described in this post. The Concept Step 1: Take any three-digit positive integer with non-identical digits (not all digits are same). Step 2: Reverse the digits of the number to form mirror number Step 3: Subtract mirror number from the original number taken in Step 1 . Step 4: Calculate the difference and reverse the digits of the difference. Step 5: Add the digits of the difference to its reverse digits. The end-result is always the number 1089. For Example Number 123 Mirror number formed after reversing the digits is 321. Subtract mirror number from the original number: 123 – 321 => -(198). Difference after calculation is 198 and its reverse digits are 891. Adding digits of the difference to its reverse digits: [198 + 891] => 1089 . As you can see, the end-result is the number 1089. ...