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                    REVERSAL-ADDITION PALINDROME TEST ON 1007601

                    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 1007601:
                    1007601
                    + 1067001
                    step 1: 2074602
                    + 2064702
                    step 2: 4139304
                    + 4039314
                    step 3: 8178618
                    + 8168718
                    step 4: 16347336
                    + 63374361
                    step 5: 79721697
                    + 79612797
                    step 6: 159334494
                    + 494433951
                    step 7: 653768445
                    + 544867356
                    step 8: 1198635801
                    + 1085368911
                    step 9: 2284004712
                    + 2174004822
                    step 10: 4458009534
                    + 4359008544
                    step 11: 8817018078
                    + 8708107188
                    step 12: 17525125266
                    + 66252152571
                    step 13: 83777277837
                    + 73877277738
                    step 14: 157654555575
                    + 575555456751
                    step 15: 733210012326
                    + 623210012337
                    step 16: 1356420024663
                    + 3664200246531
                    step 17: 5020620271194
                    + 4911720260205
                    step 18: 9932340531399
                    + 9931350432399
                    step 19: 19863690963798
                    + 89736909636891
                    step 20: 109600600600689
                    + 986006006006901
                    step 21: 1095606606607590
                    + 0957066066065901
                    step 22: 2052672672673491
                    + 1943762762762502
                    step 23: 3996435435435993
                    + 3995345345346993
                    step 24: 7991780780782986
                    + 6892870870871997
                    step 25: 14884651651654983
                    + 38945615615648841
                    step 26: 53830267267303824
                    + 42830376276203835
                    step 27: 96660643543507659
                    + 95670534534606669
                    step 28: 192331178078114328
                    + 823411870871133291
                    step 29: 1015743048949247619
                    + 9167429498403475101
                    step 30: 10183172547352722720
                    + 02722725374527138101
                    step 31: 12905897921879860821
                    + 12806897812979850921
                    step 32: 25712795734859711742
                    + 24711795843759721752
                    step 33: 50424591578619433494
                    + 49433491687519542405
                    step 34: 99858083266138975899
                    + 99857983166238085899
                    step 35: 199716066432377061798
                    + 897160773234660617991
                    step 36: 1096876839667037679789
                    + 9879767307669386786901
                    step 37: 10976644147336424466690
                    + 09666442463374144667901
                    step 38: 20643086610710569134591
                    + 19543196501701668034602
                    step 39: 40186283112412237169193
                    + 39196173221421138268104
                    step 40: 79382456333833375437297
                    + 79273457333833365428397
                    step 41: 158655913667666740865694
                    + 496568047666766319556851
                    step 42: 655223961334433060422545
                    + 545224060334433169322556
                    step 43: 1200448021668866229745101
                    + 1015479226688661208440021
                    step 44: 2215927248357527438185122
                    + 2215818347257538427295122
                    step 45: 4431745595615065865480244
                    + 4420845685605165955471344
                    step 46: 8852591281220231820951588
                    + 8851590281320221821952588
                    step 47: 17704181562540453642904176
                    + 67140924635404526518140771
                    step 48: 84845106197944980161044947
                    + 74944016108944979160154848
                    step 49: 159789122306889959321199795
                    + 597991123959988603221987951
                    step 50: 757780246266878562543187746
                    + 647781345265878662642087757
                    step 51: 1405561591532757225185275503
                    + 3055725815227572351951655041
                    step 52: 4461287406760329577136930544
                    + 4450396317759230676047821644
                    step 53: 8911683724519560253184752188
                    + 8812574813520659154273861198
                    step 54: 17724258538040219407458613386
                    + 68331685470491204083585242771
                    step 55: 86055944008531423491043856157
                    + 75165834019432413580044955068
                    step 56: 161221778027963837071088811225
                    + 522118880170738369720877122161
                    step 57: 683340658198702206791965933386
                    + 683339569197602207891856043386
                    step 58: 1366680227396304414683821976772
                    + 2776791283864144036937220866631
                    step 59: 4143471511260448451621042843403
                    + 3043482401261548440621151743414
                    step 60: 7186953912521996892242194586817
                    + 7186854912422986991252193596817
                    step 61: 14373808824944983883494388183634
                    + 43638188349438838944942880837341
                    step 62: 58011997174383822828437269020975
                    + 57902096273482822838347179911085
                    step 63: 115914093447866645666784448932060
                    + 060239844487666546668744390419511
                    step 64: 176153937935533192335528839351571
                    + 175153938825533291335539739351671
                    step 65: 351307876761066483671068578703242
                    + 242307875860176384660167678703153
                    step 66: 593615752621242868331236257406395
                    + 593604752632133868242126257516395
                    step 67: 1187220505253376736573362514922790
                    + 0972294152633756376733525050227811
                    step 68: 2159514657887133113306887565150601
                    + 1060515657886033113317887564159512
                    step 69: 3220030315773166226624775129310113
                    + 3110139215774266226613775130300223
                    step 70: 6330169531547432453238550259610336
                    + 6330169520558323542347451359610336
                    step 71: 12660339052105755995586001619220672
                    + 27602291610068559955750125093306621
                    step 72: 40262630662174315951336126712527293
                    + 39272521762163315951347126603626204
                    step 73: 79535152424337631902683253316153497
                    + 79435161335238620913673342425153597
                    step 74: 158970313759576252816356595741307094
                    + 490703147595653618252675957313079851
                    step 75: 649673461355229871069032553054386945
                    + 549683450355230960178922553164376946
                    step 76: 1199356911710460831247955106218763891
                    + 1983678126015597421380640171196539911
                    step 77: 3183035037726058252628595277415303802
                    + 2083035147725958262528506277305303813
                    step 78: 5266070185452016515157101554720607615
                    + 5167060274551017515156102545810706625
                    step 79: 10433130460003034030313204100531314240
                    + 04241313500140231303043030006403133401
                    step 80: 14674443960143265333356234106934447641
                    1007601 takes 80 iterations / steps to resolve into a 38 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 2,095,922 times since Saturday, March 9th, 2002.)

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