Base 196: 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

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ゴ → ゲ3
399 max steps100 → 0ササ → ゴサ1 → コサ2 → ゲサ3 → ケサ4 → グサ5 → クサ6 → ギサ7 → キサ8 → ガサ9 → カサA → オサB → ォサC → エサD → ェサE → ウサF → ゥサG → イサH → ィサI → アサJ → ァサK → яサL → юサM → эサN → ьサO → ыサP → ъサQ → щサR → шサS → чサT → цサU → хサV → фサW → уサX → тサY → сサZ → рサa → пサb → оサc → нサd → мサe → лサf → кサg → йサh → иサi → зサj → жサk → еサl → дサm → гサn → вサo → бサp → аサq → Яサr → Юサs → Эサt → Ьサu → Ыサv → Ъサw → Щサx → Шサy → Чサz → ЦサΑ → ХサΒ → ФサΓ → УサΔ → ТサΕ → СサΖ → РサΗ → ПサΘ → ОサΙ → НサΚ → МサΛ → ЛサΜ → КサΝ → ЙサΞ → ИサΟ → ЗサΠ → ЖサΡ → ЕサΣ → ДサΤ → ГサΥ → ВサΦ → БサΧ → АサΨ → ωサΩ → ψサα → χサβ → φサγ → υサδ → τサε → σサζ → ςサη → ρサθ → πサι → οサκ → ξサλ → νサμ → μサν
410 max steps600h → h5クк → オψΩC → эNьO → жгml → ρμμι → 7ササギ → ギ6ギ8 → エゥFE → щфVS → ЭФΒu
573 max steps1000I → I0サゴイ → サァサJ1 → ゴァサJ2 → コяサK3 → ゲэサM4 → ケъサP5 → グцサT6 → クсサY7 → ギлサe8 → キдサl9 → ガЬサtA → カУサΓB → オЙサΝC → ォψサΩD → エμサμE → ェΨサωF → ウλサνG → ゥΧサАH → イκサξI → ィΦサБJ → アιサοK → ァΥサВL → яθサπM → юΤサГN → эηサρO → ьΣサДP → ыζサςQ → ъΡサЕR → щεサσS → шΠサЖT → чδサτU → цΟサЗV → хγサυW → фΞサИX → уβサφY → тΝサЙZ → сαサχa → рΜサКb → пΩサψc → оΛサЛd → нΨサωe → мΚサМf → лΧサАg → кΙサНh → йΦサБi → иΘサОj → зΥサВk → жΗサПl → еΤサГm → дΖサРn → гΣサДo → вΕサСp → бΡサЕq → аΔサТr → ЯΠサЖs → ЮΓサУt → ЭΟサЗu → ЬΒサФv → ЫΞサИw → ЪΑサХx → ЩΝサЙy → ШzサЦz → ЧΜサКΑ → ЦyサЧΒ → ШΙサНz → ЧΓサУΑ → ЦΘサОΒ → ХΒサФΓ → ХΖサРΓ → ФΓサУΔ → ФΔサТΔ → УΔサТΕ → УΒサФΕ