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                    REVERSAL-ADDITION PALINDROME TEST ON 989

                    Reverse and Add Process:

                    1. Pick a number.
                    2. Reverse its digits and add this value to the original number.
                    3. If this is not a palindrome, go back to step 2 and repeat.
                    Let's view this Reverse and Add sequence starting with 989:
                    989
                    + 989
                    step 1: 1978
                    + 8791
                    step 2: 10769
                    + 96701
                    step 3: 107470
                    + 074701
                    step 4: 182171
                    + 171281
                    step 5: 353452
                    + 254353
                    step 6: 607805
                    + 508706
                    step 7: 1116511
                    + 1156111
                    step 8: 2272622
                    + 2262722
                    step 9: 4535344
                    + 4435354
                    step 10: 8970698
                    + 8960798
                    step 11: 17931496
                    + 69413971
                    step 12: 87345467
                    + 76454378
                    step 13: 163799845
                    + 548997361
                    step 14: 712797206
                    + 602797217
                    step 15: 1315594423
                    + 3244955131
                    step 16: 4560549554
                    + 4559450654
                    step 17: 9120000208
                    + 8020000219
                    step 18: 17140000427
                    + 72400004171
                    step 19: 89540004598
                    989 takes 19 iterations / steps to resolve into a 11 digit palindrome.

                    REVERSAL-ADDITION PALINDROME RECORDS

                    Most Delayed Palindromic Number for each digit length
                    (Only iteration counts for which no smaller records exist are considered. My program records only the smallest number that resolves for each distinct iteration count. For example, there are 18-digit numbers that resolve in 232 iterations, higher than the 228 iteration record shown for 18-digit numbers, but they were not recorded, as a smaller [17-digit] number already holds the record for 232 iterations.)

                    DigitsNumberResult
                    2
                    3
                    4
                    5
                    6
                    7
                    8
                    9
                    10
                    11
                    12
                    13
                    14
                    15
                    16
                    17
                    18
                    19
                    89
                    187
                    1,297
                    10,911
                    150,296
                    9,008,299
                    10,309,988
                    140,669,390
                    1,005,499,526
                    10,087,799,570
                    100,001,987,765
                    1,600,005,969,190
                    14,104,229,999,995
                    100,120,849,299,260
                    1,030,020,097,997,900
                    10,442,000,392,399,960
                    170,500,000,303,619,996
                    1,186,060,307,891,929,990
                    solves in 24 iterations.
                    solves in 23 iterations.
                    solves in 21 iterations.
                    solves in 55 iterations.
                    solves in 64 iterations.
                    solves in 96 iterations.
                    solves in 95 iterations.
                    solves in 98 iterations.
                    solves in 109 iterations.
                    solves in 149 iterations.
                    solves in 143 iterations.
                    solves in 188 iterations.
                    solves in 182 iterations.
                    solves in 201 iterations.
                    solves in 197 iterations.
                    solves in 236 iterations.
                    solves in 228 iterations.
                    solves in 261 iterations - World Record!
                    [View all records]

                    This reverse and add program was created by Jason Doucette.
                    Please visit my Palindromes and World Records page.
                    You have permission to use the data from this webpage (with due credit).
                    A link to my website is much appreciated. Thank you.

                    (This program has been run 2,095,736 times since Saturday, March 9th, 2002.)

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