Base 43: 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
24 max steps10 → 0g → f1 → d3 → Z7
322 max steps100 → 0gg → fg1 → eg2 → dg3 → cg4 → bg5 → ag6 → Zg7 → Yg8 → Xg9 → WgA → VgB → UgC → TgD → SgE → RgF → QgG → PgH → OgI → NgJ → MgK → LgL
44 max stepsM000 → LggL → LKLM → 1ggf → f0f2
519 max steps10000 → 0gggg → fggg1 → f0gf2 → gcg31 → fcg32 → ebg43 → dZg64 → cWg95 → bSgD6 → aNgI7 → ZHgO8 → YHgO9 → XGgPA → WGgPB → VFgQC → UFgQD → TEgRE → SEgRF → SCgTF
662 max steps7000bb → bb6Z56 → WVSDBB → LKERMM → D20feU → fcGP42 → dY8X84 → ZQOHG8 → RA6ZWG → TMAVKE → LF1eRM → dC0fU4 → fZHO72 → dS6ZE4 → ZTDSD8 → RGERQG → DB9WVU → NKGPMK → 931edY → daOH64 → ZU6ZC8 → TRHOFE → FC6ZUS → TICTOE → HF5aRQ → VC8XUC → PJHONI → 863caZ → ZUQFC8 → RIAVOG → LB5aVM → VK0fMC → fJ1eN2 → ec3c43 → bZX876 → VSOHEC → JE6ZSO → TE4bSE → XFDSRA → NFBURK → JC2dUO → bI4bO6 → XV5aBA → VNJMJC → J42dcO → bY4b86 → XVPGBA → NK8XMK → P31edI → da6Z64 → ZUSDC8 → RIEROG → DB5aVU → VKGPMC → J91eXO → dO4bI4 → ZX5a98 → VRNIFC → JC4bUO → XI4bOA → XN5aJA → VN3cJC → ZJ3cN8
736 max steps1000001 → 10gggfg → gf0gf11 → gfdg211 → ffcg312 → fdbg432 → ecYg743 → daUgB64 → cXOgH95 → bTFgQD6 → aODgSI7 → ZN9gWJ8 → YQCgTG9 → XMCgTKA → WL8gXLB → YMAgVK9 → XOAgVIA → WNCgTJB → VK9gWMC → XKAgVMA → WNAgVJB → WLBgULB → VL8gXLC → YL9gWL9 → XPAgVHA → WNDgSJB → VJ8gXNC → YLBgUL9 → XN8gXJA → YNDgSJ9 → XL8gXLA → YNBgUJ9 → XNAgVJA → WNBgUJB → VLAgVLC → WJ9gWNB → XLCgTLA
8113 max stepsG0000KWW → WWKFQMAB → MLB1eVLL → dK0ggfM4 → gcLGPL41 → fY8ggX82 → eYX0f983 → fbQNIG52 → dWA4bWA4 → ZXMLKK98 → RO20feIG → fcB5aV42 → dYVJMB84 → ZQK2dMG8 → bRA1eWF6 → dVMBUKB4 → ZKJ1eNM8 → dR41ecF4 → dZYBU874 → ZSQINGE8 → REA4bWSG → XMEAVSKA → NLE1eSLK → dE2ggdS4 → ecPAVH43 → bYL7YL86 → VRPggGFC → URF1eRFD → dHCBUUP4 → ZJI7YON8 → SQ63caGF → ZUD9WTC8 → RNIFQOJG → CA63caWV → ZUMINKC8 → RI51ebOG → dWB5aVA4 → ZVMJMKB8 → RK31edMG → daB1eV64 → dZUJMC74 → ZSI2dOE8 → bRE5aSF6 → WUEBUSCB → LJIDSONM → F640fcaS → fYUCTC82 → dQIGPOG4 → ZA95aXW8 → VROLKIFC → JC60faUO → fUI4bOC2 → dXI5aO94 → ZVO5aIB8 → VRK5aMFC → VJC1eUNC → dJI3cON4 → aY63ca87 → ZUTPGDC8 → RIG8XQOG → PBA5aWVI → VMK6ZMKC → TJ21eeNE → dcF3cR44 → aYYBU887 → TQQINGGE → FAA4bWWS → XMMCTKKA → NH21eePK → dc82dY44 → bZYPG876 → VSQ8XGEC → PJE9WSNI → NE73cZSK → ZSE2dSE8 → bREDSSF6 → VFEBUSRC → KIEBUSON → JE62daSO → bUE4bSC6 → XVIDSOBA → NKF5aRMK → VC31edUC → daJHON64 → ZU73cZC8 → ZSRHOFE8 → REC6ZUSG → TIEAVSOE → LFE5aSRM → VEC0fUSC → fJIDSON2 → dF63caR4 → aYUBUC87 → TQJHONGE → FA73cZWS → ZSMCTKE8 → RHE1eSPG → dEB7YVS4 → ZRKDSMF8 → RFC1eURG → dICAVUO4 → ZLI5aOL8 → VR5ggaFC → bUL3cLC6 → ZVHggOB8 → YVI6ZOB9 → TPK5aMHE → VF81eYRC → dQJBUNG4 → ZJA3cWN8 → ZRM3cKF8 → ZRC1eUF8 → dRIBUOF4 → ZJC5aUN8
937 max stepsE00000FTT → TTFDgSRDE → TGFCgTRQE → UFEAgVSRD → WIGCgTQOB → VKD7gYTMC → ZMI8gXOK8 → YRF3gcRF9 → dTJBgUND4 → cSH9gWPE5 → bTIAgVOD6 → aRIAgVOF7 → ZQG8gXQG8 → YRH9gWPF9 → XPH9gWPHA → XNF7gYRJA → ZOI7gYOI8 → ZRG5gaQF8 → bSKAgVME6 → aRH7gYPF7 → ZTJ9gWND8 → YQJ9gWNG9 → XPG6gZQHA → aPH8gXPH7 → ZSG7gYQE8 → ZRKBgUMF8 → YOF6gZRI9 → aQJ8gXNG7 → ZSH6gZPE8 → aRLAgVLF7 → ZQG5gaQG8 → bSJ9gWNE6 → aSI8gXOE7 → ZSJ9gWNE8 → YQI8gXOG9 → YPH7gYPH9 → ZPH7gYPH8 → ZRH7gYPF8