Base 136: 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

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 steps10
22 max steps20 → 1Ч → Х3
369 max steps100 → 0ШШ → ЧШ1 → ЦШ2 → ХШ3 → ФШ4 → УШ5 → ТШ6 → СШ7 → РШ8 → ПШ9 → ОШA → НШB → МШC → ЛШD → КШE → ЙШF → ИШG → ЗШH → ЖШI → ЕШJ → ДШK → ГШL → ВШM → БШN → АШO → ωШP → ψШQ → χШR → φШS → υШT → τШU → σШV → ςШW → ρШX → πШY → οШZ → ξШa → νШb → μШc → λШd → κШe → ιШf → θШg → ηШh → ζШi → εШj → δШk → γШl → βШm → αШn → ΩШo → ΨШp → ΧШq → ΦШr → ΥШs → ΤШt → ΣШu → ΡШv → ΠШw → ΟШx → ΞШy → ΝШz → ΜШΑ → ΛШΒ → ΚШΓ → ΙШΔ → ΘШΕ → ΗШΖ → ΖШΗ
413 max steps100G → G0ЧЙ → ЧςV2 → ХΚΒ4 → С7Р8 → КЗGF → υπXU → ΟΖΖy → FШШЙ → ЙEЙG → υςVU → ΟΚΒy → G7РЙ → ЙςVG
552 max steps1000L → L0ШЧД → ШБШM1 → ЧБШM2 → ЦАШN3 → ХψШP4 → ФυШS5 → УρШW6 → ТμШb7 → СζШh8 → РΨШo9 → ПΟШwA → ОΖШΖB → НvШΠC → МΕШΗD → ЛuШΡE → КΔШΘF → ЙtШΣG → ИΓШΙH → ЗsШΤI → ЖΒШΚJ → ЕrШΥK → ДΑШΛL → ГqШΦM → ВzШΜN → БpШΧO → АyШΝP → ωoШΨQ → ψxШΞR → χnШΩS → φwШΟT → υmШαU → τvШΠV → σlШβW → ςuШΡX → ρkШγY → πtШΣZ → οjШδa → ξsШΤb → νiШεc → μrШΥd → λhШζe → κqШΦf → ιgШηg → θpШΧh → ηfШθi → ιmШαg → θjШδh → ηlШβi → ζiШεj → ζjШδj → εjШδk → εhШζk