Base 42: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl

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
Cycle Start
11 max steps10
22 max steps20 → 1e → c3
322 max steps100 → 0ff → ef1 → df2 → cf3 → bf4 → af5 → Zf6 → Yf7 → Xf8 → Wf9 → VfA → UfB → TfC → SfD → RfE → QfF → PfG → OfH → NfI → MfJ → LfK → KfL
47 max steps500G → G4aQ → W9VA → NKKJ → 3ffc → c2c4 → aX76 → UPFC
521 max steps10003 → 30fed → faf41 → eaf42 → dZf53 → cXf74 → bUfA5 → aQfE6 → ZLfJ7 → YFfP8 → XIfM9 → WEfQA → VHfNB → UDfRC → TGfOD → SCfSE → TDfRD → SFfPE → RCfSF → TCfSD → TFfPD → SDfRE
687 max steps50000D → D4ffaT → bS6YD5 → WSEQDA → MFBTQK → IB1dUO → cJ5ZM4 → YU2cB8 → aQIMF6 → UB3bUC → YJHNM8 → Q62cZG → aT9VC6 → UMGOJC → I82cXO → aP5ZG6 → VT8WCB → OKGOLI → 860eZY → eTPFC2 → cH9VO4 → YM6YJ8 → SQ2cFE → aEAUR6 → UKCSLC → IG0ePO → e95ZW2 → cUMIB4 → YJ3bM8 → YQ2cF8 → aQAUF6 → UKAULC → KI0eNM → e51da2 → dbUA43 → aXJL86 → UP1dGC → cI8WN4 → YO4aH8 → WQ6YFA → SMAUJE → KE2cRM → aD1dS6 → cUEQB4 → YJBTM8 → QI2cNG → aA4aV6 → WUKKBA → MIffMK → NKffKJ → ML2cKK → a20ed6 → ebTB42 → cXHN84 → YP5ZG8 → UQ8WFC → OIAUNI → K64aZM → WT1dCA → cMGOJ4 → Y82cX8 → aQOGF6 → UB7XUC → QJHNMG → A62cZW → aTLJC6 → UH1dOC → cI6YN4 → YS4aD8 → WQEQFA → MCAUTK → KH1dOM → c71dY4 → cYQE74 → YRBTE8 → QICSNG → GA4aVQ → WL9VKA → NL0eKJ → e40eb2 → ecW832 → cZNH64 → YT5ZC8 → UQGOFC → IB7XUO → QJ5ZMG → UA2cVC → aLHNK6
726 max stepsJ00000W → WIfffMA → VNIfMIB → UD4faSC → bOGfOH5 → aL6fYK6 → ZUDfRB7 → YOGfOH8 → XI6fYN9 → ZPEfQG7 → YL9fVK8 → XPAfUG9 → WNDfRIA → VJ8fWMB → XLBfTK9 → WM8fWJA → XMCfSJ9 → WL8fWKA → XMBfTJ9 → WM9fVJA → WMBfTJA → VL9fVKB → WKAfULA → VM9fVJB → WKBfTLA → VL8fWKB → XLAfUK9
8235 max steps800008FI → IF87XXQO → QPB5ZUGG → UJA8WVMC → OLI2cNKI → a650eaZ6 → eVUSCBA2 → cLJFPMK4 → YA30ecV8 → eZQKKF62 → cTAffUC4 → bVQ0eFA5 → eWLAUK92 → cNK0eLI4 → eY50ea72 → ecVQEA32 → cZLBTK64 → YTI0eNC8 → eQH4aOF2 → cWB6YU94 → YSNIMID8 → QF53baQG → YVB9VUA8 → QMLIMKJG → A430ecbW → eZXLJ862 → cTP1dGC4 → cYH8WO74 → YRO6YHE8 → SQD6YSFE → SFEAURQE → KEDAUSRM → KFD1dSQM → cFB1dUQ4 → cYJAUM74 → YRK2cLE8 → aQD0eSF6 → eUFAUQB2 → cKJAUML4 → YK30ecL8 → eZQ0eF62 → ecTAUC32 → cZKGOL64 → YT80eXC8 → eQPGOGF2 → cB97XWU4 → YQNIMIF8 → QB53baUG → YVJ9VMA8 → QML2cKJG → aA30ecV6 → eZUKKB62 → cTIffMC4 → bTK6YLC5 → WSH0eODA → eMF6YQJ2 → cSB2cUD4 → aYJEQM76 → URC2cTEC → aIHCSON6 → UG74aYPC → WRI8WNEA → OMD4aSJI → WF62cZQA → aTMAUJC6 → UKH2cOLC → aI70eYN6 → eUR4aEB2 → cWJCSM94 → YNG2cPI8 → aQ94aWF6 → WUNAUIBA → MKJ4aMLK → W320edcA → ebZLJ642 → cXT1dC84 → cYPGOG74 → YR97XWE8 → RPNCSIGF → GC94aWTQ → WNH9VOIA → NL74aYKJ → WR40ebEA → eXMCSJ82 → cPG2cPG4 → aY98WW76 → UROMIHEC → ID73bYSO → YRF5ZQE8 → UQDAUSFC → KIFAUQNM → KB51daUM → cVJ1dMA4 → cYL2cK74 → aYR0eE76 → eURCSEB2 → cJGCSPM4 → YG92cWP8 → aQN8WIF6 → UOB4aUHC → WJI6YNMA → SM52caJE → aVE2cRA6 → aULCSKB6 → UJG0ePMC → eI92cWN2 → caN4aI54 → YWV4aA98 → WQNKKIFA → MB4ffaUK → bUG7XPB5 → WQJ8WMFA → OMB2cUJI → aJ62cZM6 → aUT2cCB6 → aUJGOMB6 → UJ82cXMC → aPI2cNG6 → aU94aWB6 → WUNIMIBA → MJ53baMK → YV31dcA8 → cZQKKF64 → YTAffUC8 → XVM0eJA9 → eOL2cKH2 → ca70eY54 → eYVQEA72 → cRLBTKE4 → YID0eSN8 → eQF4aQF2 → cWBAUU94 → YNKIMLI8 → Q540ebaG → eXV9VA82 → cPMKKJG4 → Y92ffcW8 → dXT1dC83 → caPGOG54 → YV97XWA8 → RPNKKIGF → C94ffaWU → bWO1dH95 → cWN6YI94 → YSN4aID8 → WQF4aQFA → WMBAUUJA → MKJ2cMLK → a320edc6 → ebZTB642 → cXTHNC84 → YPH5ZOG8 → UQ96YWFC → SNIAUNIE → KE54aaRM → WVD1dSAA → cMLEQKJ4 → YC30ecT8 → eZQGOF62 → cTB7XUC4 → YQJGOMF8 → QB82cXUG → aPJ9VMG6 → UM92cWJC → aNI2cNI6 → aU54aaB6 → WVUIMBAA → MLJ3bMKK → Y320edc8 → ebZPF642 → cXT9VC84 → YPMGOJG8 → Q982cXWG → aPN9VIG6 → UM94aWJC → WNI2cNIA → aM54aaJ6 → WVU2cBAA → aMLIMKJ6 → U430ecbC → eZXHN862 → cTP5ZGC4 → YUH8WOB8 → QOJ6YMHG → SA72cYVE → aRLDRKE6 → UED0eSRC → eIFCSQN2 → cGB4aUP4 → YWJ8WM98 → QON2cIHG → aA74aYV6 → WURKKEBA → MJCffSMK → TM7ffXJD → YSE6YRD8 → SQFCSQFE → GEBAUURQ → KJD9VSMM → MF31dcQK → cZB1dU64 → cYTIMC74 → YRH3bOE8 → YQD6YSF8 → SQFAUQFE → KEBAUURM → KJD1dSMM → cF31dcQ4 → cZYAU764 → YTRJLEC8 → QHD1dSOG → cFA6YVQ4 → YSLAUKD8 → QKF0eQLG → eBA0eVU2 → ecLIMK32 → cZ40eb64 → eYXSC872 → cRPFPGE4 → YDA8WVS8 → QOLEQKHG → CA70eYVU → eRLHNKE2 → cD60eZS4 → eYTEQC72 → cRHBTOE4 → YID6YSN8 → SQF4aQFE → WEBAUURA → MKJCSMLK → G320edcQ → ebZ9V642 → cXTLJC84 → YPH1dOG8 → cQ96YWF4 → YSNAUID8
948 max stepsB000000VV → VVAfffUAB → VVU0feBAB → fUKJfLLB1 → eUB0feUB2 → fcTIfMC31 → ecQAfUF32 → dbSEfQD43 → cZODfRH64 → bWM9fVJ95 → aSNBfTID6 → ZPG9fVPG7 → YQF8fWQF8 → XQHAfUOF9 → WNF8fWQIA → XMH7fXOJ9 → YOG4faPH8 → bSI7fXND5 → aUK9fVLB6 → ZRK9fVLE7 → YQH6fYOF8 → ZQJ8fWMF7 → YRH6fYOE8 → ZQK9fVLF7 → YQG5fZPF8 → aRJ9fVME6 → ZRH7fXOE7 → YSJ9fVMD8 → XPI8fWNG9 → XOG6fYPH9 → ZPH7fXOG7 → YSH7fXOD8 → YQKAfULF8 → XOF5fZQH9 → aQI8fWNF6 → ZSH7fXOD7 → YSKAfULD8 → XOH7fXOH9 → YOG6fYPH8 → ZQI7fXNF7 → YSI7fXND8 → YQK9fVLF8 → XPG5fZPG9 → aQH8fWOF6 → ZSH8fWOD7 → YRJAfUME8 → XOG7fXPH9 → YOH7fXOH8 → YQG6fYPF8