Base 220: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР
СТУФХЦЧШЩЪЫЬЭЮЯа
бвгдежзийклмнопр
стуфхцчшщъыьэюяァ
アィイゥウェエォオカガキギクグケ
ゲコゴサザシジスズセゼソゾタダチ
ヂッツヅテデトドナニヌネノハバパ

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits Max Steps Max Step Example
Cycle Start
11 max steps1 → 0
22 max steps20 → 1ヌ → ナ3
3111 max steps100 → 0ネネ → ヌネ1 → ニネ2 → ナネ3 → ドネ4 → トネ5 → デネ6 → テネ7 → ヅネ8 → ツネ9 → ッネA → ヂネB → チネC → ダネD → タネE → ゾネF → ソネG → ゼネH → セネI → ズネJ → スネK → ジネL → シネM → ザネN → サネO → ゴネP → コネQ → ゲネR → ケネS → グネT → クネU → ギネV → キネW → ガネX → カネY → オネZ → ォネa → エネb → ェネc → ウネd → ゥネe → イネf → ィネg → アネh → ァネi → яネj → юネk → эネl → ьネm → ыネn → ъネo → щネp → шネq → чネr → цネs → хネt → фネu → уネv → тネw → сネx → рネy → пネz → оネΑ → нネΒ → мネΓ → лネΔ → кネΕ → йネΖ → иネΗ → зネΘ → жネΙ → еネΚ → дネΛ → гネΜ → вネΝ → бネΞ → аネΟ → ЯネΠ → ЮネΡ → ЭネΣ → ЬネΤ → ЫネΥ → ЪネΦ → ЩネΧ → ШネΨ → ЧネΩ → Цネα → Хネβ → Фネγ → Уネδ → Тネε → Сネζ → Рネη → Пネθ → Оネι → Нネκ → Мネλ → Лネμ → Кネν → Йネξ → Иネο → Зネπ → Жネρ → Еネς → Дネσ → Гネτ → Вネυ → Бネφ → Аネχ → ωネψ → ψネω
410 max steps700m → m6テэ → ダМκE → ゲRケS → цуut → ωτВω → 7ネネテ → テ6テ8 → ダソFE → ゲキVS → хмΒu
583 max steps10000 → 0ネネネネ → ヌネネネ1 → ヌ0ネヌ2 → ネドネ31 → ヌドネ32 → ニトネ43 → ナテネ64 → ドッネ95 → トタネD6 → デズネI7 → テゴネO8 → ヅキネV9 → ツゥネdA → ッыネmB → ヂсネwC → チжネΘD → ダЪネΥE → タНネιF → ゾωネχG → ソκネМH → ゼφネАI → セιネНJ → ズυネБK → スθネОL → ジτネВM → シηネПN → ザσネГO → サζネРP → ゴςネДQ → コεネСR → ゲρネЕS → ケδネТT → グπネЖU → クγネУV → ギοネЗW → キβネФX → ガξネИY → カαネХZ → オνネЙa → ォΩネЦb → エμネКc → ェΨネЧd → ウλネЛe → ゥΧネШf → イκネМg → ィΦネЩh → アιネНi → ァΥネЪj → яθネОk → юΤネЫl → эηネПm → ьΣネЬn → ыζネРo → ъΡネЭp → щεネСq → шΠネЮr → чδネТs → цΟネЯt → хγネУu → фΞネаv → уβネФw → тΝネбx → сαネХy → рΜネвz → пΩネЦΑ → оΛネгΒ → нΨネЧΓ → мΚネдΔ → лΧネШΕ → кΙネеΖ → йΦネЩΗ → иΘネжΘ → зΥネЪΙ → жΗネзΚ → иΡネЭΘ → зΛネгΙ → жΠネЮΚ → еΚネдΛ → еΞネаΛ → дΛネгΜ → дΜネвΜ → гΜネвΝ → гΚネдΝ