| 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 |
| 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 | 957× | (max) 11 nodes | ⮎ 0β → α1 → Ψ3 → Τ7 → ΛF → uV → OΒ → cn → AΠ → ΕL → ih ⮌ |
| 957× | (max) 11 nodes | ⮎ 2Ω → Φ5 → ΟB → ΓN → el → 6Υ → ΝD → yR → Wt → MΔ → gj ⮌ | ||
| 957× | (max) 11 nodes | ⮎ 4Χ → Ρ9 → ΗJ → md → 8Σ → ΙH → qZ → GΚ → sX → KΖ → kf ⮌ | ||
| 957× | (max) 11 nodes | ⮎ CΞ → ΑP → ap → EΜ → wT → Sx → Uv → Qz → Yr → IΘ → ob ⮌ | ||
| 3 | 1 cycle | 117,392× | (fixed) (max) 1 node | ⮎ hβi ⮌ |
| 4 | 2 cycles | 1,345,850× | (max) 5 nodes | ⮎ e7Σm → Λ7ΣG → ΛtVG → uNΒW → eNΒm ⮌ |
| 1,326,732× | (max) 5 nodes | ⮎ O7ΣΓ → ΛdlG → u7ΣW → ΛNΒG → udlW ⮌ | ||
| 5 | 3 cycles | 32,749,264× | 3 nodes | ⮎ wRβxU → ySβwS → xVβtT ⮌ |
| 16,419,946× | (max) 4 nodes | ⮎ wSβwU → xRβxT → yTβvS → xUβuT ⮌ | ||
| 7,830× | 2 nodes | ⮎ igβii → iβββh ⮌ | ||
| 6 | 5 cycles | 755,442,177× | (max) 362 nodes | ⮎ E80αΣΝ → αΚxRG2 → ΨtVtW4 → ΤOMΓΒ8 → ΛgcmjG → uA2ΨΠW → ΦΖNΒK6 → ΟldleC → Γ86ΤΣO → ΝΚdlGE → yt7ΣWS → ΛWMΓtG → ugMΓjW → gO2ΨΒk → Φd3Χm6 → ΤΟ8ΡB8 → ΛΙΓMHG → urfjYW → OJ3ΧΗΓ → Τndlc8 → ΛB7ΣΟG → ΛΔtVMG → uhNΒiW → eO0αΒm → αd7Σm2 → ΨΛ8ΡF4 → ΤΙuUH8 → ΛrPzYG → uaIΗpW → oOEΛΒc → wdBΞmU → ΓS8ΡxO → ΙeUulI → qQ6Τza → ΝZFΚqE → yuGΙVS → sWOΑtY → cNJΖΓo → mfBΞke → Γ84ΦΣO → ΡΚdlGA → Ηt7ΣWK → ΛmMΓdG → ug8ΡjW → ΙO2ΨΒI → ΦqcmZ6 → ΟH9ΠΙC → ΗΓqYNK → mfHΘke → q84ΦΣa → ΡΚFΚGA → ΗusWVK → mPLΔΑe → ib7Σoi → ΛCββΝG → ΞΚ1ΩGD → ΨΑsWP4 → ΤbLΔo8 → ΛiCΝhG → Αu0αVQ → αaOΑp2 → ΨcEΛn4 → ΤwAΟT8 → ΛΕSwLG → ujTvgW → SO2ΨΒy → ΦdVtm6 → ΟO8ΡΒC → ΙΓcmNI → qf9Πka → ΗG4ΦΚK → ΡtldWA → ΗN7ΣΓK → ΛmekdG → u95ΥΡW → ΟΘNΒIC → ΓpdlaO → eF7ΣΛm → Λv7ΣUG → ΛuQyVG → uYOΑrW → cOIΗΒo → odBΞmc → ΓC8ΡΞO → ΙΒdlOI → qd7Σma → ΛG8ΡΚG → ΙusWVI → qPLΔΑa → ibFΚoi → uCββΝW → ΞtHΘWD → ΑqMΓZQ → gaGΙpk → sF3ΧΛY → ΤvJΖU8 → ΛmQydG → uY8ΡrW → ΙOIΗΒI → qocmba → GD9ΠΝΛ → ΗztVQK → mZNΒqe → eH7ΣΙm → Λr7ΣYG → ΛuIΗVG → uoOΑbW → cOCΝΒo → ΑdBΞmQ → Γa8ΡpO → ΙeEΛlI → wq6ΤZU → ΝSGΙxE → ysUuXS → WQKΕzu → kZNΒqg → eH3ΧΙm → Τr7ΣY8 → ΜΚIΗGF → wtnbWU → SNBΞΓy → ΓfVtkO → eO4ΦΒm → Ρd7ΣmA → ΛΗ8ΡJG → ΙumcVI → qP9ΠΑa → ΗbFΚoK → umCΝdW → ΑO8ΡΒQ → ΙdZpmI → qG8ΡΚa → ΙtFΚWI → uqMΓZW → gOGΙΒk → sd3ΧmY → ΤK8ΡΖ8 → ΛΙkeHG → ur5ΥYW → ΟOIΗΒC → ΓocmbO → eD9ΠΝm → Ηz7ΣQK → ΛmYqdG → uI8ΡΘW → ΙpNΒaI → qeEΛla → wG6ΤΚU → ΝtRxWE → yWMΓtS → gWMΓtk → gN3ΧΓk → Τf3Χk8 → ΤΛ4ΦF8 → ΡΛuUFA → ΗvPzUK → maQype → YF7ΣΛs → ΛvJΖUG → umQydW → YO8ΡΒs → ΙdJΖmI → qm8Ρda → ΙG8ΡΚI → ΙtpZWI → qNFΚΓa → ufFΚkW → uO4ΦΒW → ΡdNΒmA → Ηe8ΡlK → Ιm6ΤdI → Νq8ΡZE → ΙyGΙRI → sqWsZY → MKGΙΖΕ → slhheY → K6ββΤΗ → ΥΖBΞK7 → ΝΓkeNE → yf5ΥkS → ΟW4ΦtC → ΡΓMΓNA → ΗgekjK → m62ΨΥe → ΦΞ7ΣC6 → ΟΛΑOFC → ΓvbnUO → eRBΞym → ΓX7ΣsO → ΛeKΕlG → uk6ΤfW → ΝO4ΦΒE → ΡycmRA → ΗX9ΠsK → ΗmKΕdK → mk8Ρfe → Ι84ΦΣI → ΡΚpZGA → ΗtFΚWK → umMΓdW → gO8ΡΒk → Ιd3ΧmI → Τq8ΡZ8 → ΛΙGΙHG → usqYXW → OLHΘΕΓ → qjdlga → G82ΨΣΛ → ΦΚtVG6 → ΟtNΒWC → ΓeMΓlO → ge6Τlk → Ν73ΧΤE → ΤΜxRE8 → ΛxVtSG → uVNΒuW → ePNΒΑm → eb7Σom → ΛD7ΣΝG → ΛztVQG → uZNΒqW → eOGΙΒm → sd7ΣmY → ΛK8ΡΖG → ΙukeVI → qP5ΥΑa → ΟbFΚoC → ΓuCΝVO → ΑeOΑlQ → ca6Τpo → ΝFBΞΛE → ΓyuURO → eXPzsm → aL7ΣΕq → ΛjFΚgG → vt2ΨWV → ΦQMΓz6 → ΟgYqjC → ΓI2ΨΘO → Φpdla6 → ΟF7ΣΛC → ΛΓuUNG → ufPzkW → aO4ΦΒq → ΡdFΚmA → Ηu8ΡVK → ΙmOΑdI → qc8Ρna → ΙGAΟΚI → ΕtpZWM → iNFΚΓi → ueββkW → tl9ΠeX → ΗM6ΤΔK → ΝmgidE → y91ΩΡS → ΨΘVtI4 → ΤpNΒa8 → ΛeEΛlG → wu6ΤVU → ΝSOΑxE → ycUunS → WQAΟzu → ΕZNΒqM → ieGΙli → s6ββΤY → ΥrPzY7 → ΝaIΗpE → yoEΛbS → wWCΝtU → ΑSMΓxQ → gaUupk → QF3ΧΛΑ → ΤvZpU8 → ΛRFΚyG → vtWsWV → QNLΔΓΑ → ifZpki → G4ββΦΛ → ΧΚ9ΠG5 → ΡΗsWJA → ΗnLΔcK → miAΟhe → Ε80αΣM → αΚhhG2 → ΨsββW4 → ΧtTvW5 → ΡSMΓxA → ΗgUujK → mQ2Ψze → ΦZ7Σq6 → ΟΛGΙFC → ΓvrXUO → eRJΖym → mX7Σse → ΛL7ΣΕG → ΛuigVG → uP1ΩΑW → ΨbNΒo4 → ΤeCΝl8 → ΛΑ6ΤPG → ΝuaoVE → yPDΜΑS → ybVtoS → WOCΝΒu → ΑdNΒmQ → ea8Ρpm → ΙF7ΣΛI → ΛvpZUG → uRFΚyW → uXNΒsW → eOKΕΒm → kd7Σmg → Λ93ΧΡG → ΤΘtVI8 → ΛpNΒaG → ueEΛlW → wO6ΤΒU → ΝdRxmE → yW8ΡtS → ΙWMΓtI → qgMΓja → gG2ΨΚk → Φt3ΧW6 → ΤΟMΓB8 → ΛΔfjMG → uh3ΧiW → ΤO0αΒ8 → αΛcmF2 → Ψv9ΠU4 → ΤΗQyJ8 → ΛnXrcG → uKAΟΖW → ΕlNΒeM → ie6Τli → Ν6ββΤE → ΥΜ5ΥE7 → ΟΝwSDC → ΓzTvQO → eZRxqm → WH7ΣΙu → ΛrNΒYG → ueIΗlW → oO6ΤΒc → ΝdBΞmE → Γy8ΡRO → ΙeWslI → qM6ΤΔa → ΝhFΚiE → yu0αVS → αWOΑt2 → ΨcMΓn4 → ΤgAΟj8 → ΛΕ2ΨLG → ΦuigV6 → ΟP1ΩΑC → ΨΓaoN4 → ΤfDΜk8 → Λy4ΦRG → ΡuWsVA → ΗPLΔΑK → miaohe ⮌ |
| 3,919,210× | 11 nodes | ⮎ yw0αTS → αWSwt2 → ΨUMΓv4 → ΤgQyj8 → ΛY2ΨrG → ΦuIΗV6 → ΟoOΑbC → ΓcCΝnO → ΑeAΟlQ → Εa6ΤpM → ΝiEΛhE ⮌ | ||
| 2,202,801× | 11 nodes | ⮎ 860αΥΤ → αΞΚFC2 → ΨΒtVO4 → ΤdNΒm8 → Λe8ΡlG → Ιu6ΤVI → ΝqOΑZE → ycGΙnS → sWAΟtY → ΕNJΖΓM → miekhe ⮌ | ||
| 679,228× | 12 nodes | ⮎ uk4ΦfW → ΡO4ΦΒA → ΡΗcmJA → Ηn9ΠcK → ΗmAΟdK → Εm8ΡdM → Ιi8ΡhI → Ιq0αZI → αqGΙZ2 → ΨsGΙX4 → ΤsKΕX8 → ΛkKΕfG ⮌ | ||
| 1,980× | (fixed) 1 node | ⮎ ihββhi ⮌ | ||
| 7 | 2 cycles | 8,906,995,792× | (max) 19 nodes | ⮎ ΔgKβΕjN → ΖhMβΓiL → ΕjKβΕgM → ΖiNβΒhL → ΕiJβΖhM → ΗjMβΓgK → ΖkLβΔfL → ΕkNβΒfM → ΔhLβΔiN → ΕgLβΔjM → ΕiMβΓhM → ΔiKβΕhN → ΖhLβΔiL → ΕkLβΔfM → ΕiNβΒhM → ΔhJβΖiN → ΗiLβΔhK → ΖlLβΔeL → ΕkOβΑfM ⮌ |
| 1,328,872,048× | (fixed) 1 node | ⮎ ΕiLβΔhM ⮌ | ||
| 8+ | - | - | - | Not showing digit sets 8+ due to verbosity. |