Base 166: 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

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 → 1х → у3
384 max steps100 → 0цц → хц1 → фц2 → уц3 → тц4 → сц5 → рц6 → пц7 → оц8 → нц9 → мцA → лцB → кцC → йцD → ицE → зцF → жцG → ецH → дцI → гцJ → вцK → бцL → ацM → ЯцN → ЮцO → ЭцP → ЬцQ → ЫцR → ЪцS → ЩцT → ШцU → ЧцV → ЦцW → ХцX → ФцY → УцZ → Тцa → Сцb → Рцc → Пцd → Оцe → Нцf → Мцg → Лцh → Кцi → Йцj → Ицk → Зцl → Жцm → Ецn → Дцo → Гцp → Вцq → Бцr → Ацs → ωцt → ψцu → χцv → φцw → υцx → τцy → σцz → ςцΑ → ρцΒ → πцΓ → οцΔ → ξцΕ → νцΖ → μцΗ → λцΘ → κцΙ → ιцΚ → θцΛ → ηцΜ → ζцΝ → εцΞ → δцΟ → γцΠ → βцΡ → αцΣ → ΩцΤ → ΨцΥ → ΧцΦ → ΦцΧ
47 max stepsL00Α → ΑKбσ → НfМg → ΧΤΨΧ → 3ццу → у2у4 → со76 → лжFC
563 max steps10003 → 30цхф → цсц41 → хсц42 → фрц53 → уоц74 → тлцA5 → сзцE6 → рвцJ7 → пЬцP8 → оХцW9 → нНцeA → мДцnB → лτцxC → кιцΙD → йΦцΦE → иΘцκF → зΥцΧG → жΗцλH → еΤцΨI → дΖцμJ → гΣцΩK → вΕцνL → бΡцαM → аΔцξN → ЯΠцβO → ЮΓцοP → ЭΟцγQ → ЬΒцπR → ЫΞцδS → ЪΑцρT → ЩΝцεU → ШzцςV → ЧΜцζW → ЦyцσX → ХΛцηY → ФxцτZ → УΚцθa → Тwцυb → СΙцιc → Рvцφd → ПΘцκe → Оuцχf → НΗцλg → Мtцψh → ЛΖцμi → Кsцωj → ЙΕцνk → ИrцАl → ЗΔцξm → ЖqцБn → ЕΓцοo → ДpцВp → ГΒцπq → ВoцГr → Дyцσp → Гsцωq → Вxцτr → БrцАs → Бvцφs → Аsцωt → Аtцψt → ωtцψu → ωrцАu