| 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 |
| 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 | 2 cycles | 21 nodes | ⮎ 0l → k1 → i3 → e7 → WF → GV → EX → IT → Ab → QL → 4h → c9 → SJ → 8d → UH → CZ → MP → 2j → g5 → aB → ON ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ NlO ⮌ |
| 4 | 2 cycles | 10 nodes | ⮎ G7dW → WFVG → HEWV → IDXU → KBZS → O7dO → VllG → VFVH → GDXW → KFVS ⮌ |
| 5 | 2 cycles | 2 nodes | ⮎ OMlOO → OlllN ⮌ |
| 6 | 3 cycles | 28 nodes | ⮎ GC6eZW → YNFVOE → KG0kVS → kF7dW2 → iWGUF4 → eHDXU8 → WKCYRG → MG6eVQ → YF3hWE → eKGUR8 → WE6eXG → YJFVSE → KG8cVS → UF7dWI → WHBZUG → OGCYVO → MEllWQ → XP5fMF → aI2iTC → gOAaN6 → aQ0kLC → kO4gN2 → ic0k94 → keSI72 → iX9bE4 → eSISJ8 → WA8cbG → URFVKI ⮌ |
| 7 | 2 cycles | 19 nodes | ⮎ ZMAlaPD → bNClYOB → aPAlaMC → bODlXNB → aO9lbNC → cPClYMA → bQBlZLB → aQDlXLC → ZNBlZOD → aMBlZPC → aOClYNC → ZOAlaND → bNBlZOB → aQBlZLC → aODlXNC → ZN9lbOD → cOBlZNA → bRBlZKB → aQElWLC ⮌ |
| 8 | 7 cycles | 113 nodes | ⮎ A92llicc → jcXllD93 → icW4gF94 → ecTGUI98 → WTEAaXIG → QJGAaVSM → QF93hcWM → eTH3hUI8 → eWDAaYF8 → WQLGUQLG → GE54ggXW → cbJFVSAA → SRG8cVKK → UF86edWI → YVHBZUGE → OKFCYWRO → MH6lleUQ → fUI3hTH7 → eYDAaYD8 → WQLKQQLG → G654ggfW → cbZFVCAA → SRNFVOKK → G870kedW → kXVFVGE2 → iJGEWVS4 → eIF8cWT8 → WUHAaUHG → QGDCYYVM → MLF3hWQQ → eH53hgU8 → ebWCYFA8 → WRMGUPKG → GE72ieXW → gXJFVSE6 → aJG8cVSC → UOF8cWNI → UHC0kZUI → kNDBZYO2 → iOL0kQN4 → ke50kg72 → kibWEA32 → ifRHTK64 → eZC6eZC8 → YWNMOOFE → KH20kjUS → khD7dY42 → idWKQF84 → eVH5fUG8 → aWFCYWFC → OMHGUUPO → ED2lliYY → jYTllHD3 → iYS4gJD4 → ecL8cQ98 → WUT4gIHG → cGDAaYVA → SQLEWQLK → I854ggdU → cbVBZGAA → SROEWNKK → I870kedU → kXVBZGE2 → iOJEWSN4 → eI90kcT8 → kWTAaIF2 → iQHAaUL4 → eQD4gYL8 → cWL4gQFA → cSH4gUJA → cSD8cYJA → USL8cQJI → UC94gcZI → cTNBZOIA → SOB0kaNK → kP80kdM2 → kiV2iG32 → igfEW654 → ebZHTCA8 → WRNBZOKG → OG70keVO → kXEllWE2 → jXW0kFE3 → kgJGUS52 → ibE8cXA4 → eURISKH8 → WDA6ebYG → YRLFVQKE → KG74geVS → cXF7dWEA → WSJGUSJG → GE98ccXW → UTJFVSII → GCB8caZW → UPNFVOMI → GC30kiZW → kfNFVO62 → iZG0kVC4 → keNEWO72 → iXI0kTE4 → keJAaS72 → iXQ8cLE4 → eUJ4gSH8 → cWD8cYFA → USLGUQJI → EC94gcZY → cTNJROIA → SB80kdaK → kVP7dMG2 → iWF2iWF4 → geHGUU76 → aXECYXEC → OMJISSPO ⮌ |
| 9 | 7 cycles | 17 nodes | ⮎ bRI7ldTKB → eSJ8lcSJ8 → dWJ8lcSF9 → dUNClYOH9 → cRH6leUKA → fUL9lbQH7 → eWK8lcRF8 → dWNBlZOF9 → cSK8lcRJA → dSJ7ldSJ9 → eUK8lcRH8 → dWL9lbQF9 → cUMAlaPHA → bSJ7ldSJB → eSI8lcTJ8 → dWK9lbRF9 → cUMBlZPHA ⮌ |