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                    REVERSAL-ADDITION PALINDROME TEST ON 600279

                    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 600279:
                    600279
                    + 972006
                    step 1: 1572285
                    + 5822751
                    step 2: 7395036
                    + 6305937
                    step 3: 13700973
                    + 37900731
                    step 4: 51601704
                    + 40710615
                    step 5: 92312319
                    + 91321329
                    step 6: 183633648
                    + 846336381
                    step 7: 1029970029
                    + 9200799201
                    step 8: 10230769230
                    + 03296703201
                    step 9: 13527472431
                    + 13427472531
                    step 10: 26954944962
                    + 26944945962
                    step 11: 53899890924
                    + 42909899835
                    step 12: 96809790759
                    + 95709790869
                    step 13: 192519581628
                    + 826185915291
                    step 14: 1018705496919
                    + 9196945078101
                    step 15: 10215650575020
                    + 02057505651201
                    step 16: 12273156226221
                    + 12262265137221
                    step 17: 24535421363442
                    + 24436312453542
                    step 18: 48971733816984
                    + 48961833717984
                    step 19: 97933567534968
                    + 86943576533979
                    step 20: 184877144068947
                    + 749860441778481
                    step 21: 934737585847428
                    + 824748585737439
                    step 22: 1759486171584867
                    + 7684851716849571
                    step 23: 9444337888434438
                    + 8344348887334449
                    step 24: 17788686775768887
                    + 78886757768688771
                    step 25: 96675444544457658
                    + 85675444544457669
                    step 26: 182350889088915327
                    + 723519880988053281
                    step 27: 905870770076968608
                    + 806869670077078509
                    step 28: 1712740440154047117
                    + 7117404510440472171
                    step 29: 8830144950594519288
                    + 8829154950594410388
                    step 30: 17659299901188929676
                    + 67692988110999295671
                    step 31: 85352288012188225347
                    + 74352288121088225358
                    step 32: 159704576133276450705
                    + 507054672331675407951
                    step 33: 666759248464951858656
                    + 656858159464842957666
                    step 34: 1323617407929794816322
                    + 2236184979297047163231
                    step 35: 3559802387226841979553
                    + 3559791486227832089553
                    step 36: 7119593873454674069106
                    + 6019604764543783959117
                    step 37: 13139198637998458028223
                    + 32282085489973689193131
                    step 38: 45421284127972147221354
                    + 45312274127972148212454
                    step 39: 90733558255944295433808
                    + 80833459244955285533709
                    step 40: 171567017500899580967517
                    + 715769085998005710765171
                    step 41: 887336103498905291732688
                    + 886237192509894301633788
                    step 42: 1773573296008799593366476
                    + 6746633959978006923753771
                    step 43: 8520207255986806517120247
                    + 7420217156086895527020258
                    step 44: 15940424412073702044140505
                    + 50504144020737021442404951
                    step 45: 66444568432810723486545456
                    + 65454568432701823486544466
                    step 46: 131899136865512546973089922
                    + 229980379645215568631998131
                    step 47: 361879516510728115605088053
                    + 350880506511827015615978163
                    step 48: 712760023022555131221066216
                    + 612660122131555220320067217
                    step 49: 1325420145154110351541133433
                    + 3343311451530114515410245231
                    step 50: 4668731596684224866951378664
                    600279 takes 50 iterations / steps to resolve into a 28 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 2,095,845 times since Saturday, March 9th, 2002.)

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