| Radix Character Encoding | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| m | n | o | p | q | r | s | t | u | v | w | x | y | z | Α | Β |
| Color Key | ||
|---|---|---|
| Orange | Fixed Point | number that becomes itself after one iteration |
| Green | Final Numbers | all numbers eventually reached, from all cycles |
| Purple | Cycle Start | iterations include entry into cycle, assuming it repeats |
| Red | Full Cycle | iterations include entire cycle, proving it repeats |
| Blue | Start Numbers | subset (optimization) of all numbers; minimal for full coverage |
| Gray | No Results | any calculation that has no results |
| Digits | # Full Cycles (excluding zero) |
Max Cycle Length |
Longest Full Cycles (excluding zero) (bold = exactly one cycle [excluding zero]) |
|---|---|---|---|
| 1 | 0 cycles | - | - |
| 2 | 5 cycles | 8 nodes | ⮎ 4j → e9 → UJ → Ad → SL → 6h → aD → MR ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ OnP ⮌ |
| 4 | 8 cycles | 10 nodes | ⮎ E5ha → cLRC → Q5hO → c1lC → kPN4 → g1l8 → kXF4 → gHV8 → YDZG → MHVS ⮌ |
| 5 | 2 cycles | 4 nodes | ⮎ XFnXH → YFnXG → YHnVG → XGnWH ⮌ |
| 6 | 10 cycles | 50 nodes | ⮎ E75hga → cZLREC → QL5hSO → c71lgC → kZPNE4 → gL1lS8 → kY6gF4 → gaIUD8 → YNBbQG → QI2kVO → iD1la6 → kcMQB4 → gR3jM8 → gY4iF8 → eYIUFA → UJBbUK → QB9dcO → UR1lMK → kA4id4 → geSK98 → YV7fIG → YICaVG → OICaVQ → OD1laQ → kN1lQ4 → kg2k74 → igYE76 → cZJTEC → QL9dSO → U71lgK → kZ9dE4 → gUKSJ8 → YB7fcG → YRHVMG → IE4iZW → eLDZSA → UM6gRK → aA4idE → eTLRKA → U95heK → cV9dIC → UQCaNK → OA2kdQ → iT1lK6 → kc8eB4 → gWQMH8 → YF3jYG → gJHVU8 → YEAcZG → SLHVSM ⮌ |
| 7 | 1 cycle | 4 nodes | ⮎ bOAncPD → dPCnaOB → cRBnbMC → cQEnYNC ⮌ |
| 8 | 4 cycles | 349 nodes | ⮎ 4320mlkk → mjhf7642 → kfbXFC84 → gXPHVOG8 → YHE0mZWG → mLIEYVS2 → kKD6gaT4 → gaN8eQD8 → YWN2kQHG → iIF2kYV6 → icJCaUB6 → cROAcPMC → SQ50miNM → md62khA2 → kibSKC54 → gdP7fOA8 → ZXT0mKGF → mKH8eWT2 → kWF8eYH4 → gWJEYUH8 → YKFAcYTG → SJI8eVUM → WDB5hcaI → cRNDZQMC → QM52kiRO → id51liA6 → kdcSKBA4 → gTR7fMK8 → ZX94ieGF → eVKGWTIA → UGD8eaXK → WNH9dWQI → UFE2kZYK → iLJ9dUS6 → cUB6gcJC → aRQAcNME → SM52kiRM → id64ihA6 → ecbSKCBA → URP7fOMK → YA50midG → mdTHVKA2 → kTE8eZK4 → gWL8eSH8 → YWF6gYHG → aJIEYVUE → MKDAcaTS → SN95heQM → cV62khIC → ibQCaNC6 → cPO2kPOC → iQ10mmN6 → mlc2kB22 → kjiQM544 → gfd3jA88 → gYXSKGF8 → YJH7fWUG → YIFAcYVG → SJICaVUM → ODB5hcaQ → cRN1lQMC → kQ52kiN4 → igd2kA76 → icZSKEB6 → cRL7fSMC → YQ74igNG → eZI2kVEA → iULCaSJ6 → cOB6gcPC → aRQ0mNME → mM52kiR2 → kid4iA54 → gedSKA98 → YVT7fKIG → YID8eaVG → WNICaVQI → OED2kaZQ → iNL1lSQ6 → kc72kgB4 → igZQME76 → cZL3jSEC → gQL6gSN8 → aY72kgFE → iZMIURE6 → cLC4ibSC → eQP6gONA → aU30mkJE → mhMAcR62 → kbS4iLC4 → geP6gO98 → aYV0mIFE → mMJCaUR2 → kOB4icP4 → geR0mM98 → mYV4iIF2 → keJCaU94 → gVOAcPI8 → YSD0maLG → mNI6gVQ2 → kaD2kaD4 → igNMQQ76 → cZ42kjEC → ifQKSN86 → cX82kfGC → iXQGWNG6 → cHG2kXWC → iQHEYWN6 → cKF2kYTC → iQJ8eUN6 → cWB2kcHC → iRQEYNM6 → cK52kiTC → idQ8eNA6 → cWT2kKHC → iQF8eYN6 → cWJ2kUHC → iQFAcYN6 → cSJ2kULC → iQB6gcN6 → caR2kMDC → iQN4iQN6 → ec32kkBA → ihUQMJ66 → cbB3jcCC → gRQOONM8 → Y52nnkiG → liU9dJ53 → idUAcJA6 → cTSAcLKC → SQ96geNM → aV62khIE → ibMCaRC6 → cPO4iPOC → eQ10mmNA → mlU2kJ22 → kjiAc544 → gfdRLA88 → YXT5hKGG → cIH8eWVC → WQFCaYNI → OJE2kZUQ → iLB1lcS6 → kcR6gMB4 → gaR4iMD8 → eYN4iQFA → eUJ2kUJA → iUBAccJ6 → cSRAcMLC → SQ74igNM → eZ62khEA → ibUKSJC6 → cPB7fcOC → YRQ0mNMG → mI52kiV2 → kidCaA54 → gdTNPKA8 → YT91leKG → kVI8eVI4 → gWDCaaH8 → YONEYQPG → KI30mkVU → mhD9da62 → kbUMQJC4 → gPB3jcO8 → gYR0mMF8 → mYJ4iUF2 → keJAcU94 → gVSAcLI8 → YSD6gaLG → aNI6gVQE → aMD2kaRE → iNM4iRQ6 → ec52kiBA → idUQMJA6 → cTB3jcKC → gRQ8eNM8 → YW52kiHG → idIEYVA6 → cTKCaTKC → QO98eePO → WV20mlII → mjECaZ42 → kfOKSP84 → gX80mfG8 → mYXGWGF2 → kJHFXWU4 → gIFAcYV8 → YSJCaULG → OIB6gcVQ → aRD1laME → kNM4iRQ4 → ge52ki98 → idYUIFA6 → cTJBbUKC → RPB8ecON → WR40mjMI → mfE4iZ82 → keXKSG94 → gVH7fWI8 → ZXFCaYGF → OKJGWUTQ → GB91lecY → kVRHVMI4 → gED4iaZ8 → eYNKSQFA → UJ82kfUK → iXB9dcG6 → cURGWMJC → QGB4icXO → eRH1lWMA → kUF4iYJ4 → geJAcU98 → YVSAcLIG → SID6gaVM → aND5haQE → cNM2kRQC → iQ52kiN6 → idc2kBA6 → icTQMKB6 → cR93jeMC → gVQ4iNI8 → eYD2kaFA → iUNIUQJ6 → cCB2kcbC → iRQOONM6 → c52nnkiC → liY5hF53 → idcIUBA6 → cTRBbMKC → RP94ieON → eV40mjIA → mfUCaJ82 → kXOAcPG4 → gSH0mWL8 → mYF6gYF2 → kaJIUUD4 → gNCAcbQ8 → YSP2kOLG → iI70mgV6 → mcZCaEB2 → kROKSPM4 → g850mif8 → mdYWGFA2 → kTJFXUK4 → gIB8ecV8 → YWRCaMHG → OIF4iYVQ → eJD1laUA → kUNAcQJ4 → gSB2kcL8 → iYR6gMF6 → caJ4iUDC → eQNAcQNA → US32kkLK → ihA6gd66 → cbaSKDCC → QPN7fQOO → Y320mlkG → mjhHV642 → kfbDZC84 → gXPLROG8 → YH60mhWG → mbIEYVC2 → kPKCaTO4 → gO90meP8 → mYV0mIF2 → mkJCaU32 → khOAcP64 → gbS0mLC8 → mYP6gOF2 → kaJ0mUD4 → mgNAcQ72 → kZS2kLE4 → igL6gS76 → caZ6gEDC → aQNKSQNE → M832kkfS → ihX5hG66 → dbbGWCCB → SPPFXOOM → I610mmhW → mlbDZC22 → kjPLRO44 → gf60mh88 → mbYWGFC2 → kPJFXUO4 → gIB0mcV8 → mYRCaMF2 → kOJ4iUP4 → geB0mc98 → mYVQMIF2 → kJD3jaU4 → hfNAcQ87 → aXS2kLGE → iMH6gWR6 → caF4iYDC → eQNIUQNA → UC32kkbK → ihP9dO66 → cbU0mJCC → mQPAcON2 → kS30mkL4 → mhg6g762 → kbaYEDC4 → gPNJTQO8 → YA30mkdG → mhTHVK62 → kbE8eZC4 → gWPKSOH8 → YF80mfYG → mXJHVUG2 → kHEAcZW4 → gSLEYSL8 → YK76ggTG → aZI8eVEE → WMLCaSRI → OE74igZQ → eZL1lSEA → kUL6gSJ4 → gaB6gcD8 → aYRMQMFE → MJ53jiUS → gdB5hcA8 → cYTQMKFC → QJ93jeUO → gVB1lcI8 → kYRCaMF4 → gOJ4iUP8 → eYB0mcFA → mURIUMJ2 → kCB4icb4 → geROOM98 → YV4nniIG → jXQ2kNG5 → ieH2kW96 → icVEYIB6 → cRKCaTMC → QO94iePO → eV20mlIA → mjUCaJ42 → kfOAcP84 → gXS0mLG8 → mYH6gWF2 → kaJEYUD4 → gNKAcTQ8 → YS92keLG → iVI6gVI6 → caDCaaDC → QONMQQPO ⮌ |
| 9 | 6 cycles | 21 nodes | ⮎ dUJ8neUJB → fTKAncTK9 → eVI8neVIA → fUMCnaRJ9 → eTH7nfWKA → gVNBnbQI8 → fVJ7nfUI9 → gWNBnbQH8 → fVK8neTI9 → fWMAncRH9 → eVL9ndSIA → eUL9ndSJA → eUK8neTJA → fUL9ndSJ9 → eWK8neTHA → fUNBnbQJ9 → eUI6ngVJA → hWMBnbRH7 → gWK9ndTH8 → fXMBnbRG9 → eULAncSJA ⮌ |