| 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 |
| Γ | Δ | Ε | Ζ | Η | Θ | Ι | Κ | Λ | Μ | Ν | Ξ | Ο | Π | Ρ | Σ |
| Τ | Υ | Φ | Χ | Ψ | Ω | α | β | γ | δ | ε | ζ | η | θ | ι | κ |
| λ | μ | ν | ξ | ο | π | ρ | ς | σ | τ | υ | φ | χ | ψ | ω | А |
| 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) |
Frequency | Cycle Length |
Full Cycles (excluding zero) (bold = exactly one cycle [excluding zero]) |
|---|---|---|---|---|
| 1 | 0 cycles | - | - | - |
| 2 | 4 cycles | 1,554× | (max) 14 nodes | ⮎ 0А → ω1 → χ3 → σ7 → λF → ΤV → mΒ → Eμ → ΦT → qx → 6τ → νD → ΨR → ut ⮌ |
| 1,554× | (max) 14 nodes | ⮎ 2ψ → υ5 → οB → γN → Γl → Gκ → ΡX → iΖ → Mδ → Εj → Kζ → Ιf → SΧ → sv ⮌ | ||
| 1,554× | (max) 14 nodes | ⮎ 4φ → ρ9 → ηJ → Λd → WΣ → kΔ → Iθ → Νb → aΞ → cΜ → YΠ → gΘ → QΩ → wr ⮌ | ||
| 1,554× | (max) 14 nodes | ⮎ 8ς → ιH → ΟZ → eΚ → UΥ → oz → Aπ → εL → Ηh → Oβ → Αn → Cξ → αP → yp ⮌ | ||
| 3 | 1 cycle | 240,352× | (fixed) (max) 1 node | ⮎ tАu ⮌ |
| 4 | 1 cycle | 6,913,228× | (max) 3 nodes | ⮎ mFκΓ → ΤFκW → ΤlΒW ⮌ |
| 5 | 3 cycles | 106,845,798× | 3 nodes | ⮎ ΝZАΞc → ΟaАΝa → ΞdАΚb ⮌ |
| 53,530,924× | (max) 4 nodes | ⮎ ΝaАΝc → ΞZАΞb → ΟbАΜa → ΞcАΛb ⮌ | ||
| 12,654× | 2 nodes | ⮎ usАuu → uАААt ⮌ | ||
| 6 | 3 cycles | 2,692,282,183× | (max) 134 nodes | ⮎ I6ААσι → τθ9πI7 → νηΝaJE → ΨΜbΜcS → uaYΟΞu → gcААΛΙ → ΜΘ1ψgd → χYQΨΠ4 → σwgΗr8 → λQ4υΩG → ρΤwqVA → ηn5τΑK → οΛCνdC → γαWΡPO → ΓzjΔom → KGAοκη → εΣΚdWM → ΗlVΣΓi → mOGιβΓ → ΡΒFκmY → ΤiEλΖW → ΦmMγΒU → ΕqEλxk → ΦK6σζU → νΚpxeE → ΨV7ςΤS → λumΑtG → ΤE0ωμW → ωΧlΒS2 → χtFκu4 → σΤ0ωV8 → ωλmΑF2 → χΥDμU4 → σΨoyR8 → λv9πsG → ηΤ2χVK → υΛmΑd6 → οXDμΡC → γΨiΕRO → ΓvLδsm → ΗG2χκi → υΣNβW6 → οΓkΓlC → γIGιθO → ΡΞΒlaY → idFκΛΗ → ΤXNβΡW → ΓmiΕΒm → MGEλκε → ΦΣΖhWU → qlNβΓy → ΓH7ςιm → λΠFκYG → ΥΣgΗWV → olPΩΓΑ → yHBξιq → γΠ7ςYO → λΓgΗlG → ΤQGιΩW → ΡxlΒqY → iG6σκΗ → νΣNβWE → ΨΓkΓlS → uIGιθu → ΡΝААaY → ΠΞ3φaZ → σgcΛΘ8 → λYQΨΠG → ΤwgΗrW → mQ4υΩΓ → ρxFκqA → ηΤ6σVK → νΛmΑdE → ΨXDμΡS → ΨuiΕtS → uM0ωδu → ωΕААi2 → ψΖhΖi3 → υOMγβ6 → οΕΑmjC → γLDμεO → ΨΘΒlgS → uRFκΨu → ΤuААsW → ΣvNβsX → Γk2χΔm → υJFκη6 → οΤΛcVC → γnXΠΑO → ΓiCνΖm → αNFκγQ → ΤΔxpkW → mJ7ςηΓ → λΜFκcG → ΥΣYΟWV → olfΘΓΑ → SHBξιΨ → γΠttYO → ΓgААΗm → ΘΒ3φmh → σQEλΩ8 → λΦwqTG → Τr5τwW → οm4υΒC → ργEλNA → ηΦΓkTK → ΛrHθwe → ΟW4υΣa → ρldΚΓA → ηWGιΣK → ΡΛkΓdY → iXHθΡΗ → ΟjNβΕa → ΓeKεΚm → ΙVFκΤg → ΤnRΧΑW → umCνΒu → αEААλQ → μΩ9πQF → ηΦwqTK → Λr5τwe → οW4υΣC → ργkΓNA → ηΔHθkK → ΟΛIηda → ΝeWΡΚc → kaUΤΞΕ → odJζΛΑ → ΛXBξΡe → γjVΣΕO → ΓmKεΒm → ΙGEλκg → ΦΣRΧWU → uqkΓxu ⮌ |
| 435,309,529× | 62 nodes | ⮎ OG0ωκγ → ωΣΒlW2 → χlFκΓ4 → σΤGιV8 → λΡmΑXG → ΤjDμΕW → ΨmKεΒS → ΙuEλtg → ΦS0ωΧU → ωtpxu2 → χ80ως4 → ωσιG72 → χμΠXE4 → σΧhΖS8 → λtNβuG → ΤΓ0ωlW → ωmGιΒ2 → χΡEλX4 → σΦiΕT8 → λrLδwG → ΤΗ4υhW → ρmOαΒA → ηΑEλnK → ΦΛCνdU → αqWΡxQ → yk6σΔq → νJ7ςηE → λΨΛcRG → ΤvXΠsW → mi2χΖΓ → υNFκγ6 → οΤΓkVC → γnHθΑO → ΟΓCνla → αeGιΚQ → ΡyUΤpY → oi8ρΖΑ → ιNBξγI → γΟΓkZO → ΓfHθΙm → ΟTFκΦa → ΤrdΚwW → mW4υΣΓ → ρlFκΓA → ηΤGιVK → ΡΛmΑdY → iXDμΡΗ → ΨjNβΕS → ΓuKεtm → ΙG0ωκg → ωΣRΧW2 → χukΓt4 → σI0ωθ8 → ωλΝaF2 → χΥbΜU4 → σpZΞy8 → λe8ρΚG → ιΤUΤVI → ΟomΑza → eEAομΛ → εΧVΣSM → ΗtlΒui ⮌ | ||
| 3,192× | (fixed) 1 node | ⮎ utААtu ⮌ | ||
| 7+ | - | - | - | Not showing digit sets 7+ due to verbosity. |