| 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 |
| 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 | 3 cycles | 2,250× | (max) 30 nodes | ⮎ 0Ξ → Ν1 → Λ3 → Η7 → yF → iV → CΒ → oP → Op → Qn → Mr → Uj → Ez → kT → Gx → gX → 8Ζ → wH → eZ → 4Κ → Ε9 → uJ → ad → 2Μ → Ι5 → ΓB → qN → Sl → Iv → cb ⮌ |
| 375× | 5 nodes | ⮎ 6Θ → ΑD → mR → Kt → Yf ⮌ | ||
| 225× | 3 nodes | ⮎ AΔ → sL → Wh ⮌ | ||
| 3 | 1 cycle | 76,000× | (fixed) (max) 1 node | ⮎ bΞc ⮌ |
| 4 | 4 cycles | 389,796× | (max) 9 nodes | ⮎ KBΒu → qZdO → S3Κm → ΗJt8 → yZdG → i3ΚW → ΗBΒ8 → ypNG → iRlW ⮌ |
| 373,184× | (max) 9 nodes | ⮎ K3Κu → ΗZd8 → y3ΚG → ΗhV8 → yBΒG → qhVO → SBΒm → qJtO → aRle ⮌ | ||
| 371,086× | (max) 9 nodes | ⮎ SJtm → aJte → a3Κe → Η3Κ8 → ΗxF8 → yhVG → iBΒW → qBΒO → qRlO ⮌ | ||
| 368,359× | (max) 9 nodes | ⮎ C3ΚΓ → ΗpN8 → yRlG → iJtW → aBΒe → q3ΚO → ΗRl8 → yJtG → iZdW ⮌ | ||
| 5 | 3 cycles | 15,996,282× | 3 nodes | ⮎ oNΞpQ → qOΞoO → pRΞlP ⮌ |
| 8,037,808× | (max) 4 nodes | ⮎ oOΞoQ → pNΞpP → qPΞnO → pQΞmP ⮌ | ||
| 5,850× | 2 nodes | ⮎ caΞcc → cΞΞΞb ⮌ | ||
| 6 | 5 cycles | 291,515,718× | 6 nodes | ⮎ gK2ΛtY → ΙZ7Ζe6 → Γy4ΙFC → ΕqiUNA → uTDzkK → maGwdS ⮌ |
| 32,779,808× | (max) 62 nodes | ⮎ IGAΓxw → shdZWM → WB3ΚΓi → ΗrBΒM8 → yqUiNG → iTDzkW → mHBΒwS → qfJtYO → aS6Ηle → ΑJ3ΚuE → ΗmacR8 → yL1ΜsG → ΛiWgV4 → ΗD9ΔΑ8 → yumQJG → ibLrcW → WC0ΝΒi → ΝpBΒO2 → ΛqQmN4 → ΗTLrk8 → yWGwhG → igAΓXW → sC8ΕΒM → wpVhOI → eRBΒma → qL3ΚsO → ΗXRlg8 → yK8ΕtG → wiYeVI → eD5ΘΑa → Γn3ΚQC → ΗqMqN8 → yUSkjG → iIEyvW → kdBΒaU → qG2ΛxO → ΙhRlW6 → ΓKAΓtC → sqYeNM → WT5Θki → ΓHBΒwC → rpeYON → UR5Θmk → ΓLFxsC → qiWgVO → SD9ΔΑm → unJtQK → bZMqed → U51ΜΙk → ΛΔFxA4 → ΗthVK8 → yZBΒeG → qi4ΙVO → ΕSCΑlA → uoIuPK → caOodc → Q2ΞΞΛo → ΜnLrQ3 → ΙWMqh6 → ΓUAΓjC → sqEyNM → kWSkhU ⮌ | ||
| 213,608× | 6 nodes | ⮎ cGAΓxc → sgΞΞWM → rhBΒWN → qUAΓjO → sSEylM → kWIuhU ⮌ | ||
| 29,524× | (fixed) 1 node | ⮎ sWAΓhM ⮌ | ||
| 1,482× | (fixed) 1 node | ⮎ cbΞΞbc ⮌ | ||
| 7 | 2 cycles | 3,285,714,436× | (max) 19 nodes | ⮎ uaHΞvdK → wbJΞtcI → vdHΞvaJ → wcKΞsbI → vcGΞwbJ → xdJΞtaH → weIΞuZI → veKΞsZJ → ubIΞucK → vaIΞudJ → vcJΞtbJ → ucHΞvbK → wbIΞucI → veIΞuZJ → vcKΞsbJ → ubGΞwcK → xcIΞubH → wfIΞuYI → veLΞrZJ ⮌ |
| 516,042,304× | (fixed) 1 node | ⮎ vcIΞubJ ⮌ | ||
| 8+ | - | - | - | Not showing digit sets 8+ due to verbosity. |