Wednesday, May 8, 2019

Math: Palindrome Numbers

Palindromic Number 

A palindromic number is a number that remains the same when its digits are reversed. Like 16461, for example, it is "symmetrical". The term palindromic is derived from palindrome, which refers to a word whose spelling is unchanged when its letters are reversed.

For E.g
11
121
12321

Some cool facts!

Digit Reversal Sums Leading to Palindromes

Beginning with the decimal representation of any integer N, reverse the digits and add I to N.  Iterate this operation.  Typically you will soon arrive at a palindrome, i.e., a number that reads the same forwards and backwards. 

For example, starting with 39,

we have 39 + 93 = 132. 
 
Then 132 + 231 = 363 = palindrome.

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