| 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 |
| 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 | 1 cycle | 3 nodes | ⮎ 3N → J7 → BF ⮌ |
| 3 | 1 cycle | 2 nodes | ⮎ CQE → DQD ⮌ |
| 4 | 10 cycles | 9 nodes | ⮎ 50PM → PG92 → N6J4 → JCD8 → B0PG → P4L2 → NG94 → J6J8 → DAFE ⮌ |
| 5 | 1 cycle | (fixed) 1 node | ⮎ I8QH9 ⮌ |
| 6 | 4 cycles | 58 nodes | ⮎ 740PMK → PICD82 → NA0PG4 → PJ5K72 → NFBEB4 → J42NM8 → LIAF86 → FA4LGC → H62NKA → LE6JC6 → FD1ODC → N2QQN4 → OLQQ43 → NM2N44 → LJH876 → FC8HEC → 931ONI → NK8H64 → JE8HC8 → B91OHG → N84LI4 → JH9G98 → B86JIG → DA4LGE → H60PKA → PE6JC2 → ND1OD4 → NIQQ74 → MJ4L75 → IGBEA9 → 962NKI → LE8HC6 → F91OHC → N82NI4 → LJ9G76 → FC6JEC → D31ONE → NK0P64 → PJDC72 → NC0PE4 → PJ1O72 → OMBE43 → LI2N86 → LF9GB6 → F73MJC → JC2NE8 → LB1OF6 → NF3MB4 → KI3M87 → JD9GD8 → B6QQJG → KF2NB7 → LD3MD6 → JEQQB8 → IF4LB9 → H93MHA → J86JI8 → DB9GFE ⮌ |
| 7 | 1 cycle | 8 nodes | ⮎ KD3QMD7 → NF6QJB4 → MH7QI95 → LF8QHB6 → KD5QKD7 → LD6QJD6 → KF5QKB7 → LD8QHD6 ⮌ |
| 8 | 7 cycles | 25 nodes | ⮎ B431ONMG → NKI4L864 → JHE9GC98 → B871OJIG → NCA4LGE4 → JH61OK98 → NEB7IFC4 → JB41OMF8 → NIB3MF84 → KIA3MG87 → JDA5KGD8 → FB5QQKFC → LF7QQIB6 → KJA2NG77 → LDC5KED6 → GE1QQOCB → PFC1OEB2 → OM41OM43 → NLIH8854 → JGA8HGA8 → B965KKHG → FE84LICC → HA31ONGA → NK75KJ64 → JFEBECB8 ⮌ |
| 9 | 4 cycles | 8 nodes | ⮎ LGA4QLGA6 → MFB5QKFB5 → LH93QMH96 → NGC7QIEA4 → MG83QMIA5 → NHE7QIC94 → MG94QLHA5 → MHC6QJE95 ⮌ |
| 10 | 2 cycles | 6 nodes | ⮎ NJC21OOE74 → NMJC1OE744 → NJIC1OE874 → NJCA1OGE74 → NJC61OKE74 → NJEC1OEC74 ⮌ |
| 11 | 3 cycles | 15 nodes | ⮎ LHB62QNKF96 → OHFB5QKFB93 → NJB63QMKF74 → NJGD7QIDA74 → MGC82QNIEA5 → OIE83QMIC83 → NLEA5QKGC54 → MIGA3QMGA85 → NHE85QKIC94 → MIC94QLHE85 → MHD94QLHD95 → MHC83QMIE95 → NHE94QLHC94 → MJC84QLIE75 → MHEB5QKFC95 ⮌ |
| 12 | 6 cycles | 28 nodes | ⮎ BA7663MKKJGG → JEEC64LKECC8 → HEB221OOOFCA → NMM741OMJ444 → NJIIIBE88874 → JCAAA2NGGGE8 → LB6661OKKKF6 → NFEEE3MCCCB4 → KI4221OOOM87 → NMMID9GD8444 → JIIA6QQJG888 → KIBB81OIFF87 → NDAA43MMGGD4 → KII65QQKK887 → LKDCBQQEED66 → KKA810PPIG67 → POEDA5KGDC22 → NMF61QQOKB44 → PMKHB4LF9642 → NIHE83MIC984 → KIAA81OIGG87 → NDAA65KKGGD4 → JFE65QQKKCB8 → LKC970PJHE66 → PFEC81OIECB2 → OMA421OOMG43 → NMLII5K88544 → JIGFA9GGBA88 ⮌ |
| 13 | 5 cycles | 41 nodes | ⮎ MGC962QNKHEA5 → OIGB73QMJFA83 → NLFB84QLIFB54 → MJGD73QMJDA75 → NHFC92QNHEB94 → OJE862QNKIC73 → OLHDB5QKFD953 → NJGB61QOKFA74 → PKHD94QLHD962 → OLFB83QMIFB53 → NLHD73QMJD954 → NJHEA3QMGC974 → NJFA73QMJGB74 → NJFC94QLHEB74 → MJEA62QNKGC75 → OIGD93QMHDA83 → NLE972QNJHC54 → OJIEA4QLGC873 → NKEB83QMIFC64 → NJGC72QNJEA74 → OJGC93QMHEA73 → NLFA73QMJGB54 → NJHE94QLHC974 → MJEA84QLIGC75 → MHEB83QMIFC95 → NHE962QNKHC94 → OJHB84QLIF973 → NKEB95QKHFC64 → MIEB62QNKFC85 → OIGC72QNJEA83 → OLGB83QMIFA53 → NLHD84QLID954 → MJGD93QMHDA75 → NHFA72QNJGB94 → OJGA74QLJGA73 → NKEC95QKHEC64 → MIEB51QOLFC85 → PJHD72QNJD972 → ONGCA3QMGEA33 → NLKC63QMKE654 → NJHFE7QICB974 ⮌ |