| 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 |
| Б | В | Г | Д | Е | Ж | З | И | Й | К | Л | М | Н | О | П | Р |
| 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 | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.99 step avg | 6.96 step avg | 24.97 step avg | 1.78 step avg | 25.37 step avg | 56.40 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 126× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 1× 126× 63× 126× 252× 504× 1,008× 2,016× 4,032× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 1× 8,317× 4,092× 8,182× 8,172× 8,158× 8,140× 8,118× 8,092× 8,062× 8,028× 7,990× 7,948× 7,902× 7,852× 7,798× 7,740× 7,678× 7,612× 7,542× 7,468× 7,390× 7,308× 7,222× 7,132× 7,038× 6,940× 6,838× 6,732× 6,622× 6,508× 6,390× 6,268× 6,142× 6,012× 5,878× 5,740× 5,598× 5,452× 5,302× 5,148× 4,990× 4,828× 4,662× 4,492× 4,318× 4,140× 3,958× 3,772× 3,582× 3,388× 3,190× 2,988× 2,782× 2,572× 2,358× 2,140× 1,918× 1,692× 1,462× 1,228× 990× 748× 502× 252× | 0s: 1s: 2s: 3s: 4s: 1× 2,791,614× 8,293,089× 270,081× 4,095× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 1× 555,780× 468,467× 456,245× 1,005,100× 1,315,467× 1,897,439× 2,129,243× 3,077,551× 3,031,332× 3,912,637× 3,993,089× 4,858,754× 5,221,572× 5,816,463× 6,479,059× 6,769,068× 8,060,082× 7,882,592× 10,047,836× 9,034,337× 11,972,688× 10,534,796× 13,038,355× 12,029,867× 13,673,153× 12,274,655× 12,954,887× 11,717,540× 12,157,098× 10,579,754× 11,822,154× 9,291,948× 10,885,206× 8,284,577× 9,074,018× 7,453,007× 7,419,965× 5,939,356× 5,701,783× 4,090,447× 3,626,976× 2,496,855× 1,823,358× 1,262,306× 797,792× 425,514× 190,479× 65,744× 6,264× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 120s: 121s: 122s: 123s: 124s: 125s: 126s: 127s: 128s: 129s: 130s: 131s: 132s: 133s: 134s: 135s: 136s: 137s: 138s: 139s: 140s: 141s: 142s: 143s: 144s: 145s: 146s: 147s: 148s: 149s: 150s: 151s: 152s: 153s: 154s: 155s: 156s: 157s: 158s: 159s: 160s: 161s: 162s: 163s: 164s: 165s: 166s: 167s: 168s: 169s: 1× 2,613,395× 8,283,460× 12,080,142× 16,119,793× 21,661,817× 29,051,741× 34,614,865× 39,256,119× 47,754,081× 32,694,065× 31,583,358× 39,111,743× 46,318,476× 51,552,121× 47,866,223× 41,720,571× 47,567,072× 58,979,390× 60,187,444× 66,431,135× 70,424,903× 82,666,686× 127,844,119× 104,882,900× 100,664,498× 75,884,369× 67,297,165× 63,386,412× 54,596,900× 67,669,669× 101,128,319× 123,731,149× 131,857,759× 111,737,323× 117,767,891× 78,120,991× 80,249,486× 81,035,247× 81,770,026× 67,742,923× 68,519,724× 62,587,305× 68,138,268× 91,845,009× 107,355,852× 98,986,474× 79,162,407× 56,390,357× 65,016,336× 56,628,790× 66,807,913× 68,333,623× 66,528,402× 57,911,947× 60,803,332× 48,335,919× 46,826,071× 36,503,723× 43,858,513× 52,913,295× 44,901,208× 54,022,745× 65,326,970× 59,064,654× 75,734,905× 63,378,544× 71,010,289× 70,611,828× 65,859,561× 92,633,215× 73,255,020× 43,723,996× 46,396,303× 49,847,134× 39,840,254× 44,779,314× 49,325,575× 44,708,686× 31,111,989× 39,893,250× 37,071,208× 44,399,468× 42,243,083× 64,467,173× 61,230,820× 45,340,147× 32,478,835× 30,249,908× 23,220,815× 28,175,449× 37,190,682× 34,331,829× 59,281,624× 53,363,573× 39,209,743× 30,993,339× 52,502,384× 56,129,812× 60,320,454× 48,593,595× 41,864,748× 26,040,536× 28,910,374× 21,285,082× 27,052,618× 36,154,301× 57,118,898× 42,251,547× 16,412,581× 14,400,955× 17,268,807× 21,432,177× 28,487,735× 37,492,879× 23,679,729× 16,994,871× 9,666,692× 15,254,550× 13,813,824× 13,738,755× 16,740,760× 15,094,449× 19,872,180× 7,127,823× 11,329,057× 17,284,706× 13,242,887× 11,225,823× 6,831,473× 7,516,834× 2,680,670× 7,239,763× 5,546,251× 3,595,583× 2,875,584× 1,131,788× 1,918,551× 1,418,356× 4,241,130× 3,020,731× 3,938,043× 1,464,888× 603,269× 983,153× 810,824× 2,429,282× 3,100,683× 981,623× 606,267× 2,435,984× 5,989,944× 4,390,961× 3,041,924× 2,656,491× 579,090× 572,084× 595,710× 810,012× 705,707× 1,621,786× 1,440,956× 397,085× 452,496× 1,706,418× 24,094× 61,798× 20,595× 1,729× 1,090× |