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                    REVERSAL-ADDITION PALINDROME TEST ON 10069785

                    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 10069785:
                    10069785
                    + 58796001
                    step 1: 68865786
                    + 68756886
                    step 2: 137622672
                    + 276226731
                    step 3: 413849403
                    + 304948314
                    step 4: 718797717
                    + 717797817
                    step 5: 1436595534
                    + 4355956341
                    step 6: 5792551875
                    + 5781552975
                    step 7: 11574104850
                    + 05840147511
                    step 8: 17414252361
                    + 16325241471
                    step 9: 33739493832
                    + 23839493733
                    step 10: 57578987565
                    + 56578987575
                    step 11: 114157975140
                    + 041579751411
                    step 12: 155737726551
                    + 155627737551
                    step 13: 311365464102
                    + 201464563113
                    step 14: 512830027215
                    + 512720038215
                    step 15: 1025550065430
                    + 0345600555201
                    step 16: 1371150620631
                    + 1360260511731
                    step 17: 2731411132362
                    + 2632311141372
                    step 18: 5363722273734
                    + 4373722273635
                    step 19: 9737444547369
                    + 9637454447379
                    step 20: 19374898994748
                    + 84749989847391
                    step 21: 104124888842139
                    + 931248888421401
                    step 22: 1035373777263540
                    + 0453627773735301
                    step 23: 1489001550998841
                    + 1488990551009841
                    step 24: 2977992102008682
                    + 2868002012997792
                    step 25: 5845994115006474
                    + 4746005114995485
                    step 26: 10591999230001959
                    + 95910003299919501
                    step 27: 106502002529921460
                    + 064129925200205601
                    step 28: 170631927730127061
                    + 160721037729136071
                    step 29: 331352965459263132
                    + 231362954569253133
                    step 30: 562715920028516265
                    + 562615820029517265
                    step 31: 1125331740058033530
                    + 0353308500471335211
                    step 32: 1478640240529368741
                    + 1478639250420468741
                    step 33: 2957279490949837482
                    + 2847389490949727592
                    step 34: 5804668981899565074
                    + 4705659981898664085
                    step 35: 10510328963798229159
                    + 95192289736982301501
                    step 36: 105702618700780530660
                    + 066035087007816207501
                    step 37: 171737705708596738161
                    + 161837695807507737171
                    step 38: 333575401516104475332
                    + 233574401615104575333
                    step 39: 567149803131209050665
                    + 566050902131308941765
                    step 40: 1133200705262517992430
                    + 0342997152625070023311
                    step 41: 1476197857887588015741
                    + 1475108857887587916741
                    step 42: 2951306715775175932482
                    + 2842395715775176031592
                    step 43: 5793702431550351964074
                    + 4704691530551342073975
                    step 44: 10498393962101694038049
                    + 94083049610126939389401
                    step 45: 104581443572228633427450
                    + 054724336822275344185401
                    step 46: 159305780394503977612851
                    + 158216779305493087503951
                    step 47: 317522559699997065116802
                    + 208611560799996955225713
                    step 48: 526134120499994020342515
                    + 515243020499994021431625
                    step 49: 1041377140999988041774140
                    + 0414771408899990417731401
                    step 50: 1456148549899978459505541
                    + 1455059548799989458416541
                    step 51: 2911208098699967917922082
                    + 2802297197699968908021192
                    step 52: 5713505296399936825943274
                    + 4723495286399936925053175
                    step 53: 10437000582799873750996449
                    + 94469905737899728500073401
                    step 54: 104906906320699602251069850
                    + 058960152206996023609609401
                    step 55: 163867058527695625860679251
                    + 152976068526596725850768361
                    step 56: 316843127054292351711447612
                    + 216744117153292450721348613
                    step 57: 533587244207584802432796225
                    + 522697234208485702442785335
                    step 58: 1056284478416070504875581560
                    + 0651855784050706148744826501
                    step 59: 1708140262466776653620408061
                    + 1608040263566776642620418071
                    step 60: 3316180526033553296240826132
                    + 2316280426923553306250816133
                    step 61: 5632460952957106602491642265
                    + 5622461942066017592590642365
                    step 62: 11254922895023124195082284630
                    + 03648228059142132059822945211
                    step 63: 14903150954165256254905229841
                    + 14892250945265256145905130941
                    step 64: 29795401899430512400810360782
                    + 28706301800421503499810459792
                    step 65: 58501703699852015900620820574
                    + 47502802600951025899630710585
                    step 66: 106004506300803041800251531159
                    + 951135152008140308003605400601
                    step 67: 1057139658308943349803856931760
                    + 0671396583089433498038569317501
                    step 68: 1728536241398376847842426249261
                    + 1629426242487486738931426358271
                    step 69: 3357962483885863586773852607532
                    + 2357062583776853685883842697533
                    step 70: 5715025067662717272657695305065
                    + 5605035967562727172667605205175
                    step 71: 11320061035225444445325300510240
                    + 04201500352354444452253016002311
                    step 72: 15521561387579888897578316512551
                    10069785 takes 72 iterations / steps to resolve into a 32 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 2,095,923 times since Saturday, March 9th, 2002.)

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