Base 13: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABC

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits Max Steps Max Step Example
Full Cycle
12 max steps100
26 max steps10 → 0C → B1 → 93571B93
39 max steps100 → 0CC → BC1 → AC2 → 9C3 → 8C4 → 7C5 → 6C65C76C6
410 max steps7000 → 6CC6 → 6567 → 1CCB → B0B2B83294745298729670B6B0B2
516 max steps60000 → 5CCC7 → 74C76 → 80CB5 → C5C61 → B6C52 → A5C63 → 94C74 → 84C75 → 82C95 → A3C83 → 96C54 → 83C8592C94A4C7395C6483C85
621 max steps300000 → 2CCCCA → A1CCA3 → B8CC32 → A92933 → 865665 → 30CCBA → C90B31 → CA5621 → B80B42 → B93832 → 964764 → 52CC98 → A70B53 → B71A52 → A81A43 → 973854 → 641A87 → 940B84 → B53872 → 951A74951A74
726 max steps400000A → A3CCC83 → 993C834 → 964C764 → 850CB75 → C62C961 → BA2C922 → A97C433 → 974C754 → 851CA75 → B52C972 → A93C833 → 975C654 → 841CA85 → B62C962A92C933A75C653951CA74B63C862A81CA43B75C652A61CA63B73C852A82C943A74C753961CA64B62C962
825 max steps500006CC → CC647601 → CB2CC911 → BBA1A212 → AA874423 → 87429855 → 7431A986 → 9640B864 → B53CC872 → A960B633 → B75CC652 → A760B653 → B71CCA52 → BA629622 → 986CC544 → 8841A845 → 94429884 → 75438876 → 5420BA88 → B8429842 → 97438854 → 6441A887 → 9440B884 → B5438872 → 9541A8749541A874
939 max steps1000002CC → CC20CBA01 → CCB8C3101 → CBB7C4111 → BBA6C5212 → B994C7332 → A864C7643 → 9640CB864 → C751CA751 → BB51CA712 → BA94C7322 → A974C7533 → 9751CA754 → B641CA862 → B961CA632 → B972C9532 → A963C8633 → 9761CA654 → B640CB862 → C971CA531 → BB73C8512 → B982C9432 → A964C7633 → 9750CB754 → C741CA851 → BB62C9612 → B992C9332 → A965C6633 → 973CCC854 → 9871CA544 → B652C9762 → A940CB833 → C874C7541 → B841CA842 → B963C8632A861CA643B761CA652B950CB732C983C8431B963C8632
1028 max steps2000003369 → 96331A9964 → 9664CC7664 → 8830CCB945 → C973CC8531 → B9940B8332 → B966386632 → 964CCCC764 → 88661A6645 → 942CCCC984 → A883CC8443 → 9963CC8634 → 99531A9734 → 96651A7664 → 951CCCCA74 → B8750B7542 → B9421AA832 → A886386443 → 7543CC8876 → 9831CCA944 → B9650B7632 → B961CCA632 → BA84298422 → 9874388544 → 64441A8887 → 94440B8884 → B544388872 → 95441A887495441A8874
1157 max steps10000000000 → 0CCCCCCCCCC → BCCCCCCCCC1 → B0CCCCCCCB2 → CA10CCCBB21 → CBBA0CB2111 → CBAA8C32211 → BB986C54312 → B9852C97432 → A9652C97633 → A7640CB8653 → C8630CB9641 → CB851CA7411 → BBA62C96212 → B9982C94332 → A9664C76633 → 9750CCCB754 → C8761CA6541 → BB630CB9612 → CA982C94321 → BA864C76422 → A9640CB8633 → C8751CA7541 → BB631CA9612 → BA972C95322 → A9863C86433 → 97641CA8654 → B6530CB9762 → C9840CB8431 → CB853C87411 → BB842C98412 → B9953C87332 → A8662C96643 → A751CCCA753 → B9752C97532 → A9641CA8633 → B7751CA7552 → B9521CAA732 → B9873C85432 → A8642C98643 → A7541CA8753 → B7631CA9652 → B9740CB8532 → C9852C97431BA652C97622A9840CB8433C8753C87541B9431CA9832B9764C76532A8520CBA743C9762C96531BA640CB8622C9961CA6331BB762C96512B9940CB8332C9864C76431B9540CB8732C9852C97431
1238 max steps100000002334 → 43320CCBA999 → CA874CC75421 → BA862CC96422 → AA9631A96323 → 98765CC66544 → 88430CCB9845 → C9752CC97531 → BA943CC88322 → AA874CC75423 → A9662CC96633 → A9732CC99533 → A97641A86533 → 97641CCA8654 → B86420BA8642 → B9843CC88432 → A9853CC87433 → 997530B97534 → B66521AA7662 → A881CCCCA443 → B98821AA4432 → A88643886443 → 75443CC88876 → 98431CCA9844 → B9654CC77632 → A97410BB8533 → BA7641A86522 → A8841CCA8443 → B9663CC86632A9831CCA9433B97750B75532B96221AAA632A8885CC64443986431A9864496543CC88764985320BA9744B86541A87642A8441CCA8843B9663CC86632
1355 max steps4000000005CCC → CCC53CCC87001 → CCB974C753101 → CBB851CA74111 → BBAA62C962212 → B99882C944332 → A96653C876633 → 97630CCCB9654 → C98632C996431 → BA6651CA76622 → B9850CCCB7432 → CA9761CA65321 → BB8740CB85412 → CA9742C985321 → BA8652C976422 → A98530CB97433 → C87652C976541 → BA5320CBA9722 → C99873C854331 → B96642C986632 → A9651CCCA7633 → B99542C987332 → A96652C976633 → A7640CCCB8653 → C98641CA86431 → BB7541CA87512 → BA9631CA96322 → B98762C965432 → A96530CB97633 → C87640CB86541 → CB7430CB98511 → CBA852C974211 → BB9852C974312 → B99652C976332 → A96640CB86633 → C8751CCCA7541 → BB8750CB75412 → CA9731CA95321 → BB8763C865412 → B98430CB98432 → C98653C876431 → B96430CB98632 → C98651CA76431 → BB7530CB97512 → CA9841CA84321 → BB8753C875412B98431CA98432B97653C876532A86320CBA9643C97751CA75531BB7421CAA8512BA9862C964322A98651CA76433B77530CB97552C98421CAA8431BB8753C875412
1446 max steps30000000336668 → 86663329996665 → 7662CCCCCC9666 → A666661A666663 → 96CCCCCCCCCC54 → 8762CCCCCC9655 → A776650B766553 → B7221CCCCAAA52 → BAAA62CC962222 → AA988429844323 → 88664438886645 → 54442CCCC98888 → A8883CCCC84443 → 99885CCCC64434 → 988842CC984444 → A85543CC887743 → 996432CC998634 → A965531A977633 → 976621CCAA6654 → BA6530CCB97622 → CA98530B974321 → CA86641A866421 → B9843CCCC88432 → A99870CCB54333 → C987540B875431 → CA64421AA88621 → B98843CC884432 → A98543CC887433 → 9975430B987534 → B665421AA87662 → A8841CCCCA8443 → B98861CCA64432BA86521AA76422A88841CCA84443B96643CC886632A98521CCAA7433BA77640B865522B98421CCAA8432BA9764CC765322AA86410BB86423BA8743CC885422AA86430B986423B87643CC886542A974320BA98533B876641A866542A8441CCCCA8843B98861CCA64432
1566 max steps10000000011126B → B621110CBBBBA62 → CAAA993C8332221 → BA88765C6654422 → A96431CCCA98633 → B997632C9965332 → A966640CB866633 → C8751CCCCCA7541 → BB87752C9755412 → B995321CAA97332 → B987663C8665432 → A86430CCCB98643 → C997631CA965331 → BB76640CB866512 → CA9730CCCB95321 → CBA9851CA743211 → BBA8752C9754212 → B998531CA974332 → B976652C9766532 → A96420CCCBA8633 → CA98642C9864321 → BA86541CA876422 → B986430CB986432 → C986541CA876431 → BB75430CB987512 → CA98531CA974321 → BB87652C9765412 → B995320CBA97332 → C997663C8665331 → B96630CCCB96632 → CA98532C9974321 → BA86652C9766422 → A98530CCCB97433 → C998641CA864331 → BB76541CA876512 → BA96320CBA96322 → C998762C9654331 → BA66530CB976622 → C99740CCCB85331 → CB99741CA853311 → BBA7652C9765212 → B998420CBA84332 → C997653C8765331 → B966320CBA96632 → C99762CCC965331 → BA99432C9983322 → A986664C7666433 → 97540CCCCCB8754 → C887741CA855441 → BB64431CA988612 → BA97541CA875322 → B987531CA975432 → B976531CA976532B976420CBA86532C997530CB975331CB86641CA866411BBA641CCCA86212BBA9743C8853212B997642C9865332A966530CB976633C87640CCCB86541CB88621CAA64411BBA8641CA864212BA98641CA864322B987541CA875432B975431CA987532B976531CA976532
1666 max steps5000000006699BBB → BBB9966476633112 → AA9662CCCC966323 → AA99443299883323 → 8866664388666645 → 5442CCCCCCCC9888 → A887444298885443 → 86444441A8888865 → 9444442CC9888884 → A855443CC8887743 → 9964432CC9988634 → A9655521AA777633 → 9876221CCAAA6544 → BA866420BA866422 → B98843CCCC884432 → A99874CCCC754333 → 99986420BA864334 → B866543CC8876642 → A974320CCBA98533 → CA877540B8755421 → CA844221AAA88421 → B988844388844432 → 9654444388888764 → 6444441CCA888887 → B8644420BA888642 → B984443CC8888432 → A985443CC8887433 → 99754430B9887534 → B6654421AA887662 → A88441CCCCA88443 → B98865CCCC664432 → A9886321AA964433 → 9876643CC8866544 → 9854320CCBA98744 → CA865530B9776421 → CA86421CCAA86421 → BBA86621AA664212 → AA8883CCCC844423 → A99865CCCC664333 → 99985331A9974334 → 96666541A8766664 → 9541CCCCCCCCA874 → B8875431A9875442 → A8644421AA888643 → 9874443CC8888544 → 98544430B9888744 → B6544441A8888762 → A844441CCA888843 → B966443CC8886632 → A985421CCAA87433 → BA776530B9765522 → B986221CCAAA6432 → BA987631A9654322 → A886641CCA866443 → B966421CCAA86632 → BA97631CCA965322BA977430B9855322B9866421AA866432A88643CCCC8864439988621CCAA64434BA765521AA776522A888221CCAAA4443BA87663CC8665422AA86320CCBA96423CA977631A9655321B986621CCAA66432BA97631CCA965322
1770 max steps50000000005555555 → 55555554C77777778 → 83222221CAAAAAA95 → B8888873C85444442 → A8444442C98888843 → A7544443C88888753 → 97444431CA9888854 → B7554442C98887752 → A9544321CAA988733 → B8776542C98765542 → A9543220CBAA98733 → C9877652C97655431 → BA653220CBAA97622 → C9988740CB8544331 → CB865442C98876411 → BB954430CB9887312 → CA986542C98764321 → BA865430CB9876422 → C9975430CB9875331 → CB866531CA9766411 → BBA7530CCCB975212 → CBA98651CA7643211 → BBA87530CB9754212 → CA997531CA9753321 → BB876641CA8665412 → BA96430CCCB986322 → CAA88632C99644221 → BA886541CA8764422 → B9864430CB9886432 → C9865441CA8876431 → BB754430CB9887512 → CA985431CA9874321 → BB876542C98765412 → B9954320CBA987332 → C9976652C97665331 → BA66420CCCBA86622 → CAA97441CA8853221 → BB887542C98754412 → B9954431CA9887332 → B9766542C98766532 → A965320CCCBA97633 → CA987532C99754321 → BA866531CA9766422 → B987530CCCB975432 → CA987440CB8854321 → CB975442C98875311 → BB965431CA9876312 → BA976530CB9765322C9976420CBA865331CB976530CB9765311CBA86420CBA864211CBA98641CA8643211BBA87541CA8754212BA986431CA9864322B9876541CA8765432B9754320CBA987532C9976531CA9765331BB766420CBA866512CA99630CCCB963321CBA98732C99543211BB986652C97664312B996530CCCB976332CA988432C99844321BA866543C88766422A974430CCCB988533C9986540CB8764331CB865430CB9876411CBA85430CB9874211CBA97542C98753211BB986531CA9764312BA976530CB9765322
1851 max steps100000000001246669 → 96664210CCBBA86664 → CB97631CCCCA965311 → BBB996431A98633112 → AAA86663CC86664223 → AA77621CCCCAA65523 → BAA95543CC88773222 → AA977532CC99755323 → AA776441CCA8865523 → BA7663310BB9966522 → BA98661CCCCA664322 → BAA974431A98853222 → A88866441A88664443 → 9744443CCCC8888854 → 98885430CCB9874444 → C97554430B98877531 → CA6644221AAA886621 → B988843CCCC8844432 → A998753CCCC8754333 → 999964410BB8863334 → BA666543CC88766622 → AA86320CCCCBA96423 → CAA986440B88643221 → CA886443CC88864421 → BA9644421AA8886322 → A8886443CC88864443 → 996444421AA8888634 → 98654443CC88887644 → 985444320BA9888744 → B86544441A88887642 → A8444441CCA8888843 → B9664443CC88886632 → A9854421CCAA887433 → BA7765430B98765522 → B9864221CCAAA86432 → BA9876521AA7654322 → A8886421CCAA864443 → BA7664421AA8866522 → A888441CCCCA884443 → B988663CCCC8664432A99873221AAA954333988766641A86665444954441CCCCCCA88874B8888730CCB9544442CA8754430B98875421CA8644421AA8886421B9884443CC88884432A9854443CC88887433997544430B98887534B66544421AA8887662A884441CCCCA888443B988663CCCC8664432
1951 max steps10000000000000000CC → CC0CCCCCCCCCCCCCB01 → CCB0CCCCCCCCCCCB101 → CCBB10CCCCCCCBB1101 → CCBBBB110CBBB111101 → CCBAAAAA9C222222101 → CBB988887C444443111 → BBA854443C888874212 → B99744442C988885332 → A96654442C988876633 → A7654430CCCB9887653 → C99764320CBA9865331 → CB9766530CB97665311 → CBA86420CCCBA864211 → CBBA97641CA86532111 → BBAA87530CB97542212 → CA9987531CA97543321 → BB8766531CA97665412 → BA975320CCCBA975322 → CAA987541CA87543221 → BB8875431CA98754412 → BA9754431CA98875322 → B98765431CA98765432 → B97654320CBA9876532 → C99765320CBA9765331 → CB9766420CBA8665311 → CBA97530CCCB9753211 → CBBA88541CA87442111 → BBAA86442C988642212 → B99885441CA88744332 → B97654442C988876532 → A96544320CBA9887633 → C97765430CB98765531 → CB8653220CBAA976411 → CBA987530CB97543211 → CBA976531CA97653211 → BBA876420CBA8654212 → CA9986430CB98643321 → CB9766541CA87665311 → BBA75320CCCBA975212 → CBA998551CA77433211 → BBA876531CA97654212 → BA9875320CBA9754322 → C99876531CA97654331BB7665320CBA9766512CA997420CCCBA853321CBAA87641CA86542211BBA886430CB98644212CA9975441CA88753321BB8765431CA98765412BA9754320CBA9875322C99876531CA97654331
2041 max steps40000000000666999AAA → AAA99966638666333223 → 8876664CCCCCC7666545 → 8877662210BBAA665545 → BA884321CCCCAA984422 → BAAA86660CCB66642222 → CA998641CCCCA8643321 → BBA996632CC996633212 → BA9976632CC996653322 → AA9766430CCB98665323 → CA8775420CCBA8755421 → CBA966331CCA99663211 → BBB977632CC996553112 → BB99864410BB88643312 → BAA966443CC888663222 → AA9775421CCAA8755323 → BA8776431CCA98655422 → BA97653310BB99765322 → BA9866621CCAA6664322 → BA987631CCCCA9654322 → BAA9865330B997643222 → B98866641CCA86664432 → BA865421CCCCAA876422 → BAAA765420BA87652222 → B98888421CCAA8444432 → BA9765443CC888765322 → AA87543310BB99875423 → BA87664421AA88665422 → A8884441CCCCA8884443 → B9886643CCCC88664432A998752221AAAA7543339888766421AA8665444498544441CCCCA8888744B88865430CCB98764442CA87544320BA98875421CA88644421AA88864421B98844443CC888884432A98544443CC8888874339975444430B988887534B665444421AA88887662A8844441CCCCA8888443B9886643CCCC88664432
2151 max steps20000000000000006666B → B66661CCCCCCCCCA66662 → BA66666664C7666666622 → A960CCCCCCCCCCCCCB633 → C9966320CCCCCBA966331 → CBA9995432C9987333211 → BB98666652C9766664312 → B996530CCCCCCCB976332 → CA9997653CCC876533321 → BA99764420CBA88653322 → C998765430CB987654331 → CB86654320CBA98766411 → CBA975430CCCB98753211 → CBBA886440CB886442111 → CBAA964441CA888632211 → BBA8875441CA887544212 → BA98644431CA988864322 → B987654441CA888765432 → B975444320CBA98887532 → C997654431CA988765331 → BB76654320CBA98766512 → CA9975320CCCBA9753321 → CBAA877441CA885542211 → BBA8864431CA988644212 → BA98754441CA888754322 → B987544431CA988875432 → B976544431CA988876532 → B976544320CBA98876532 → C997654320CBA98765331 → CB97665320CBA97665311 → CBA976420CCCBA8653211 → CBBA986531CA976432111 → BBAA876530CB976542212 → CA99875320CBA97543321CB98766531CA976654311BBA765320CCCBA9765212CBA9985530CB977433211CBA9766531CA976653211BBA876420CCCBA8654212CBA9976521CAA76533211BBA8876420CBA86544212CA99864430CB988643321CB97665441CA887665311BBA754320CCCBA9875212CBA9986540CB876433211CBA9765430CB987653211CBA9765320CBA97653211CBA9876420CBA86543211CBA9875430CB987543211CBA9765431CA987653211BBA8765320CBA97654212CA99875320CBA97543321
2247 max steps4000000000000456666668 → 8666666543CC8876666665 → 983320CCCCCCCCCCBA9944 → CA998843330B9998443321 → CA86666644388866666421 → B85443CCCCCCCCCC888742 → A988875444298887544433 → 86644444421AA888888665 → 984444442CCCC988888844 → A88855443CCCC888774443 → 99886443310BB998864434 → BA66654443CC8888766622 → AA8644320CCCCBA9886423 → CAA9866631CCA966643221 → BBA877531CCCCA97554212 → BBAA875540CCB877542212 → CB99966331CCA996633311 → BBB8766632CC9966654112 → BB9985420CCCCBA8743312 → CBAA887641CCA865442211 → BBB98664320BA986643112 → BAA986643CCCC886643222 → AAA98663221AAA96643223 → 988887663CCCC866544444 → 98885432220BAAA9874444 → B8886544441A8888764442 → A844444441CCA888888843 → B966444443CC8888886632 → A985444421CCAA88887433 → BA776544430B9888765522 → B986444221CCAAA8886432 → BA987654421AA887654322 → A888644421CCAA88864443 → BA766444421AA888866522 → A88844441CCCCA88884443 → B98866443CCCC888664432A9987542221AAAA875433398887664421AA886654444985444441CCCCA88888744B888654430CCB988764442CA875444320BA988875421CA886444421AA888864421B988444443CC8888884432A985444443CC888888743399754444430B9888887534B6654444421AA888887662A88444441CCCCA88888443B98866443CCCC888664432
2335 max steps1000000000000256CCCCCCC → CCCCCCC6520CBA760000001 → CCCCCCCB950CB7310000001 → CCCCCCCBA83C84210000001 → CCCCCCBB973C85311000001 → CCCCCBBA862C96421100001 → CCCCBBA9851CA7432110001 → CCCBBAA8752C97542211001 → CCBBA988531CA9744321101 → CBBAA876542C98765422111 → BBA98854320CBA987443212 → CA998765442C98876543321 → BA866544320CBA988766422 → C998754430CCCB988754331 → CB998555330CB9977743311 → CBA86665321CAA976664211 → BBA887530CCCCCB97544212 → CBAA9776520CBA765532211 → CBA98874220CBAA85443211 → CBA98875442C98875443211 → BB986544431CA9888764312 → BA976544430CB9888765322 → C9976544320CBA988765331 → CB976654320CBA987665311 → CBA9765320CCCBA97653211 → CBBA9875430CB9875432111 → CBAA9765431CA9876532211 → BBA88765320CBA976544212 → CA998754320CBA987543321 → CB987665431CA9876654311 → BBA7654320CCCBA98765212 → CBA99865420CBA876433211 → CBA98765430CB9876543211 → CBA97654320CBA987653211 → CBA98765320CBA976543211CBA98765320CBA976543211
2463 max steps1000000000000000000026CC → CC620CCCCCCCCCCCCCCBA601 → CCBA6620CCCCCCCCBA662101 → CCBBAA666610BB6666221101 → CCAAAA87CCCCCCCC44222201 → CBAAAA8853CCCC8744222211 → BBAAA976650CCB7665322212 → CB999875410CCBB875433311 → CBBA8865532CC99776442111 → BBB997553310BB9977533112 → BAAA96666221AAA666632222 → A8888885CCCCCCCC64444443 → 988888873CCCCCC854444444 → 9888885430CCCCB987444444 → C9887554430CCB9887754431 → CB985544331CCA9988774311 → BBB87655432CC99877654112 → BB9985533210BBA997743312 → BAA986666421AA8666643222 → A8888643CCCCCCCC88644443 → 998888863CCCCCC864444434 → 9988885521CCCCAA77444434 → BA9866553310BB9977664322 → BA98666421CCCCAA86664322 → BAAA8664321CCAA986642222 → BA988876521CCAA765444322 → BA9876543310BB9987654322 → BA986664421CCAA886664322 → BA98765421CCCCAA87654322 → BAAA8665421CCAA876642222 → BA988866320CCBA966444322 → CA997755421CCAA877553321 → BBA87754321CCAA987554212 → BB998765331CCA9976543312 → BB9876654310BB9876654312 → BAA9664421CCCCAA88663222 → BAAA97664321AA9866532222 → A888886641CCCCA866444443 → B98866442221AAAA88664432 → A888864443CCCC8888644443 → 99886444421CCAA888864434 → BA7655444421AA8888776522 → A8884444221CCAAA88884443 → BA876644443CC88888665422 → AA864444320CCBA988886423 → CA9776544421AA8887655321 → B9886444221CCAAA88864432 → BA9876544421AA8887654322 → A8886444421CCAA888864443 → BA7664444421AA8888866522 → A888444441CCCCA888884443 → B988664443CCCC8888664432A99875442221AAAA88754333988876644421AA88866544449854444441CCCCA888888744B8886544430CCB9888764442CA8754444320BA9888875421CA8864444421AA8888864421B9884444443CC88888884432A9854444443CC88888887433997544444430B98888887534B66544444421AA8888887662A884444441CCCCA888888443B988664443CCCC8888664432
2540 max steps6000000000000000006BCCCCC → CCCCCB65CCCCCCCCC66100001 → CCCCBB76660CCCB6665110001 → CCCCBBB6550CCCB7761110001 → CCCCBBBA6650CB76621110001 → CCCCBAAA950CCCB7322210001 → CCCCBBA99752C975332110001 → CCCBBA986641CA86643211001 → CCBBAA87541CCCA8754221101 → CBBBB9966530CB97663311111 → CBAAAA86640CCCB8664222211 → CBBA99866421CAA8664332111 → BBAA8876541CCCA8765442212 → BBA996663320CBA9966633212 → CA99876662CCCCC9666543321 → BAA998533320CBA9997433222 → C99887666652C976666544331 → BA6654320CCCCCCCBA9876622 → CAAA98755441CA88775432221 → BB8887544321CAA9887544412 → BA9875444431CA98888754322 → B98765444431CA98888765432 → B97654444320CBA9888876532 → C99765444320CBA9888765331 → CB9766544320CBA9887665311 → CBA97654320CCCBA987653211 → CBBA98764420CBA8865432111 → CBAA98754430CB98875432211 → CBA987654431CA98876543211 → BBA876544320CBA9887654212 → CA9987544320CBA9887543321 → CB9876654431CA98876654311 → BBA76544320CCCBA988765212CBA998664320CBA9866433211CBA98766541CCCA8766543211BBBA86643210CBBA986642112CAAA9987541CCCA8754332221BBAA87765430CB98765542212CA9987543220CBAA987543321CB9887665431CA98766544311BBA76544320CCCBA988765212
2665 max steps2000000000000000000000066C → C661CCCCCCCCCCCCCCCCCCA661 → BB66661CCCCCCCCCCCCA666612 → BBA666666661CCA66666666212 → BB9943CCCCCCCCCCCCCC883312 → BA9998443310CCBB9988433322 → CB9987666553CC877666543311 → BB986533210CCCCBBA99764312 → CBBA988864330B998644432111 → CAAA86664443CC888866642221 → BAA87644421CCCCAA888654222 → BAAA966663220BAA9666632222 → B98888865CCCCCCCC664444432 → A9888887531CCCCA9754444433 → B999665543310BB99877663332 → BA966666421CCCCAA866666322 → BAAA864431CCCCCCA988642222 → BAAAA9766440CCB88665322222 → CA9988765320CCBA9765443321 → CBA9776553310BB99776553211 → CAAA86662221CCAAAA66642221 → BBA88888641CCCCA8644444212 → BBAA77664421CCAA8866552212 → BB9988663310CCBB9966443312 → CBA988665521CCAA7766443211 → BBB987653310CCBB9976543112 → CBAA988654310BB98764432211 → CAAA88664441CCA88866442221 → BBA886644421CCAA8886644212 → BB9986644421CCAA8886643312 → BB9977554421CCAA8877553312 → BB9977553321CCAA9977553312 → BB9977664421CCAA8866553312 → BB9977553310CCBB9977553312 → CBA988664421CCAA8866443211 → BBB987654421CCAA8876543112 → BBA9976543310BB99876533212 → BAA986666421CCAA8666643222 → BA98876521CCCCCCAA76544322 → BAAA987554310BB98775432222 → BA98886644221AAA8866444322 → A8888644443CCCC88888644443 → 998864444421CCAA8888864434 → BA76554444421AA88888776522 → A88844444221CCAAA888884443 → BA8766444443CC888888665422 → AA8644444320CCBA9888886423 → CA97765444421AA88887655321 → B98864444221CCAAA888864432 → BA98765444421AA88887654322 → A88864444421CCAA8888864443 → BA76644444421AA88888866522 → A8884444441CCCCA8888884443 → B9886644443CCCC88888664432A998754442221AAAA8887543339888766444421AA8888665444498544444441CCCCA8888888744B88865444430CCB98888764442CA87544444320BA98888875421CA88644444421AA88888864421B98844444443CC888888884432A98544444443CC8888888874339975444444430B988888887534B665444444421AA88888887662A8844444441CCCCA8888888443B9886644443CCCC88888664432
2736 max steps1000000000000000666CCCCCCCC → CCCCCCCC6660CCCB66600000001 → CCCCCCCCB664CCC766100000001 → CCCCCCCBB8650CB764110000001 → CCCCCCCBAA730CB952210000001 → CCCCCCCBA9873C8543210000001 → CCCCCCBB97642C9865311000001 → CCCCCBBA96530CB976321100001 → CCCCCBAA97640CB865322100001 → CCCCCBA987530CB975432100001 → CCCCCBA976531CA976532100001 → CCCCBBA876420CBA86542110001 → CCCCBAA986430CB986432210001 → CCCCBA9876541CA876543210001 → CCCBBA8754320CBA98754211001 → CCCBAA9875431CA987543221001 → CCBBA88765431CA987654421101 → CBBAA87544320CBA98875422111 → CBAA988754431CA988754432211 → BBA8876544431CA988876544212 → BA98754444320CBA98888754322 → C998765444431CA988887654331 → BB76654444320CBA98888766512 → CA9975444320CCCBA9888753321 → CBAA877555330CB997775542211 → CBA9876532221CAAAA976543211 → BBA8888765320CBA97654444212 → CA99875444320CBA98887543321 → CB98766544431CA988876654311 → BBA765444320CCCBA9888765212 → CBA9986653320CBA99766433211 → CBA987666530CCCB97666543211CBBA88644210CCCBBA886442111CBBBA99766421CAA86653321111BBAAA8876530CCCB97654422212CBA9997664320CBA98665333211CBA987666530CCCB97666543211
2873 max steps4000000000000000CCCCCCCCCCCC → CCCCCCCCCCCC3CC8000000000001 → CCCCCCCCCCCB9383100000000001 → CCCCCCCCCCBA6476210000000001 → CCCCCCCCCBA82CC9421000000001 → CCCCCCCCBBA960B6321100000001 → CCCCCCCCAAA85CC6422200000001 → CCCCCCCBAA8651A7642210000001 → CCCCCCBA98841CCA844321000001 → CCCCCBBB97653CC8765311100001 → CCCCBBBA884310BB984421110001 → CCCCAAAAA8644388864222220001 → CCCB888885443CC8887444441001 → CCBB9744444430B9888888531101 → CCAAA664444441A8888886622201 → CB9888444443CCCC888888444311 → BB9987544443CCCC888887543312 → BA998755443310BB998877543322 → BA986666444221AAA88866664322 → A888864443CCCCCCCC8888644443 → 99888888621CCCCCCAA644444434 → BA9888665521CCCCAA7766444322 → BAAA8666432210BBAA9866642222 → BA988888643CCCCCC88644444322 → AA9988765421CCCCAA8765443323 → BAA9776654321CCAA98766553222 → BA98877543210CCBBA9875544322 → CB99977554331CCA998775533311 → BBB8766654321CCAA98766654112 → BBA997653310CCCCBB9976533212 → CBBA988874432CC9988544432111 → BBB99765544430B9888776533112 → BAA9666444221CCAAA8886663222 → BA9888765421CCCCAA8765444322 → BAAA866653321CCAA99766642222 → BA9888775420CCCCBA8755444322 → CAAA876653330CCB999766542221 → CBA9877654310CCBB98765543211 → CBBA9875533210BBA99775432111 → CAAAA886664221AAA86664422221 → B9888888443CCCCCC88844444432 → A9988875443CCCCCC88875444333 → 9999886553310CCBB99776443334 → CB886665553310BB997776664411 → CAAA6644221CCCCCCAAA88662221 → BBAAAAA664443CC8888662222212 → BA99888764421CCAA88654443322 → BA987755444320BA988877554322 → B9886644442221AAAA8888664432 → A88886444443CCCC888888644443 → 9988644444421CCAA88888864434 → BA765544444421AA888888776522 → A888444444221CCAAA8888884443 → BA87664444443CC8888888665422 → AA86444444320CCBA98888886423 → CA977654444421AA888887655321 → B988644444221CCAAA8888864432 → BA987654444421AA888887654322 → A888644444421CCAA88888864443 → BA766444444421AA888888866522 → A88844444441CCCCA88888884443 → B98866444443CCCC888888664432A9987544442221AAAA888875433398887664444421AA888886654444985444444441CCCCA88888888744B888654444430CCB988888764442CA875444444320BA988888875421CA886444444421AA888888864421B988444444443CC8888888884432A985444444443CC888888888743399754444444430B9888888887534B6654444444421AA888888887662A88444444441CCCCA88888888443B98866444443CCCC888888664432
2940 max steps60000000000000000000066666CCC → CCC666665CCCCCCCCCCC666666001 → CCB76666666665C66666666665101 → CBB61CCCCCCCCCCCCCCCCCCCA6111 → BBBB66210CCCCCCCCCCCBBA661112 → CBBBBAA66660CCCCCB66662211111 → CBBBBB9955543CCC8877733111111 → BBBBAA8885432CCC9987444221112 → BBB99997655430CB9877653333112 → CAA98666653220CBAA97666643221 → CB988876530CCCCCCCB9765444311 → CBB99888663310CBB996644433111 → CBAAA86665441CCCA887666422211 → BBBA986663220CCCBAA9666432112 → CBB9999776331CCCA996553333111 → BBBB8876664430CB9886665441112 → CAAA98544430CCCCCB98887432221 → CBAAA98666540CCCB876664322211 → CBBA997664220CCCBAA8665332111 → CBBB9997764320CBA986553331111 → CBAAA976665320CBA976665322211 → CBA988876420CCCCCBA8654443211 → CBBAA977664220CBAA86655322111 → CBAA988875320CCCBA97544432211 → CBBA9977655330CB9977655332111 → CBAA9766642220CBAAA8666532211 → CBA988887530CCCCCB97544443211 → CBBA9977654310CBB987655332111 → CBAAA976653220CBAA97665322211 → CBA9888876420CCCBA86544443211 → CBBA9866544321CAA988766432111 → BBAA887654430CCCB988765442212 → CBA99866543320CBA998766433211 → CBA9876665430CCCB987666543211 → CBBA886543210CCCBBA9876442111 → CBBBA998665321CAA976643321111BBAAA88766530CCCB976654422212CBA99976643210CBBA98665333211CBAA987666530CCCB976665432211CBBA987644210CCCBBA8865432111CBBBA998665321CAA976643321111