Flipping Numbers
Palindromic numbers are numbers that remains the same when its digits are reversed. (eg. 101, 12321, 11111)
When you flip a number and add back the original number repeatedly, you might get a palindromic number.
1234 + 4321 = 5555
152 + 251 = 401 ; 401 + 104 = 505
How many times must you do this to obtain a palindromic number from 9379?
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1 solution
No number has been proven to be unable to be done this way, although some seems to be. For example, 196 does not yield a palindrome even after 700,000,000 iterations. Therefore, 'It is impossible.' can be eliminated.
1. 9379 + 9739 = 19118
2. 19118 + 81191 = 100309
3. 100309 + 903001 = 1003310
4. 1003310 + 0133001 = 1136311
Thus, this process needs to be done 4 times to obtain a palindrome number.