| 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 | 3 nodes | ⮎ 3V → R7 → JF ⮌ |
| 3 | 1 cycle | 2 nodes | ⮎ GYI → HYH ⮌ |
| 4 | 14 cycles | 12 nodes | ⮎ B0XO → XCL2 → V8P4 → RGH8 → J0XG → X2V2 → VS54 → RMB8 → JANG → D2VM → T8P6 → NGHC ⮌ |
| 5 | 1 cycle | 4 nodes | ⮎ NAYNC → OAYNB → OCYLB → NBYMC ⮌ |
| 6 | 2 cycles | 6 nodes | ⮎ JB3UNG → RC2VM8 → TJ9OF6 → NF3UJC → RB3UN8 → RJBMF8 ⮌ |
| 7 | 1 cycle | 8 nodes | ⮎ QH5YSH9 → TJ8YPF6 → SL9YOD7 → RJAYNF8 → QH7YQH9 → RH8YPH8 → QJ7YQF9 → RHAYNH8 ⮌ |
| 8 | 4 cycles | 12 nodes | ⮎ JB63USNG → RMC2VMC8 → TJA9OOF6 → NFE3UKJC → RB63USN8 → RMJBMFC8 → JBA3UONG → REC2VMK8 → TJA5SOF6 → OME3UKCB → RDA5SOL8 → NJE7QKFC ⮌ |
| 9 | 3 cycles | 21 nodes | ⮎ RLD5YSLD8 → TKE7YQKE6 → SMC5YSMC7 → TLG9YOID6 → SKB4YTNE7 → UMH8YPHC5 → TMD4YTLC6 → UNH8YPHB5 → TME5YSKC6 → TNG7YQIB6 → SMF6YRJC7 → SLF6YRJD7 → SLE5YSKD7 → TLF6YRJD6 → SNE5YSKB7 → TLH8YPHD6 → SLC3YUMD7 → VNG8YPIB4 → UNE6YRKB5 → TOG8YPIA6 → SLF7YQJD7 ⮌ |
| 10 | 9 cycles | 13 nodes | ⮎ NMJ81WQFCC → VIBA3UONG4 → SQEC1WMK87 → VLIA5SOGD4 → RNE81WQKB8 → VJIC5SMGF4 → RNA41WUOB8 → VQJEBMKF84 → RIB63USNG8 → RMJC1WMFC8 → VJAA3UOOF4 → SQEE3UKK87 → RLI65SSGD8 ⮌ |