Base 91: Cycles Sequences: All Cycle Counts

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ

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 # Full Cycles
(excluding zero)
Frequency Cycle
Length
Full Cycles
(excluding zero)
(bold = exactly one cycle [excluding zero])
10 cycles---
21 cycle 3,960×(max) 11 nodes3β → Χ7 → ΞF → xV → RΒ → Zt → JΚ → pd → BΣ → ΖN → hl
31 cycle 129,675×(max) 2 nodesiεk → jεj
488 cycles40,957×(max) 12 nodesVSzy → XSzw → XOΔw → fOΔo → f8Υo → Μ8ΥI → ΜsZI → tIΚa → rIΚc → rEΞc → zEΞU → zUxU
40,877×(max) 12 nodesJGΜΛ → vqbY → NEΞΗ → zijU → V0δy → δSz2 → βWv4 → ΧOΔ8 → ΞenG → x8ΥW → ΜQΒI → tara
40,790×(max) 12 nodes96ΧΦ → ΠΛHE → ΒsZS → ZIΚu → rKΘc → nEΞg → z6ΧU → ΠUxE → ΒSzS → ZWvu → PKΘΕ → neng
40,732×(max) 12 nodesR8ΥΓ → ΜarI → tGΜa → vIΚY → rMΖc → jEΞk → z0δU → δUx2 → βSz4 → ΧWv8 → ΞOΔG → xenW
40,724×(max) 12 nodesX2βw → ΩOΔ6 → ΣenC → Ζ8ΥO → ΜglI → t4Ωa → ΥIΚA → ΚqbK → pEΞe → zAΣU → ΘUxM → lSzi
40,693×(max) 12 nodesLGΜΙ → vmfY → N6ΧΗ → ΠijE → Β0δS → δYt2 → βKΘ4 → Χmf8 → Ξ6ΧG → ΠwVE → ΒQΒS → bYts
40,684×(max) 12 nodesh6Χm → Π4ΩE → ΥΑRA → ΚYtK → pKΘe → nAΣg → Θ6ΧM → ΠkhE → Β2βS → ΩYt6 → ΣKΘC → ΖmfO
40,661×(max) 12 nodesHCΠΝ → ΔuXQ → dMΖq → jCΠk → Δ0δQ → δcp2 → βCΠ4 → ΧΓP8 → ΞcpG → xCΠW → ΔQΒQ → darq
40,628×(max) 12 nodesb0δs → δGΜ2 → βuX4 → ΧMΖ8 → ΞijG → x0δW → δQΒ2 → βar4 → ΧGΜ8 → ΞuXG → xMΖW → jQΒk
40,612×(max) 12 nodeslAΣi → Θ2βM → Ωkh6 → Σ2βC → ΩΕN6 → ΣglC → Ζ4ΩO → ΥglA → Κ4ΩK → ΥodA → ΚAΣK → ΘodM
40,173×(max) 12 nodesH8ΥΝ → ΜuXI → tMΖa → jIΚk → r0δc → δEΞ2 → βyT4 → ΧUx8 → ΞSzG → xWvW → ROΔΓ → faro
40,134×(max) 12 nodesJEΞΛ → zqbU → VEΞy → zSzU → XUxw → TOΔΑ → fWvo → P8ΥΕ → ΜenI → t8Υa → ΜIΚI → tqba
40,125×(max) 12 nodesB6ΧΤ → ΠΗLE → ΒkhS → Z2βu → ΩKΘ6 → ΣmfC → Ζ6ΧO → ΠglE → Β4ΩS → ΥYtA → ΚKΘK → pmfe
40,004×(max) 12 nodesV4Ωy → ΥSzA → ΚWvK → pOΔe → fAΣo → Θ8ΥM → ΜkhI → t2βa → ΩIΚ6 → ΣqbC → ΖEΞO → zglU
39,990×(max) 12 nodes30δγ → δΨ52 → βΡB4 → ΧΕN8 → ΞglG → x4ΩW → ΥQΒA → ΚarK → pGΜe → vAΣY → ΘMΖM → liji
39,972×(max) 12 nodesZGΜu → vKΘY → nMΖg → j6Χk → Π0δE → δΑR2 → βYt4 → ΧKΘ8 → ΞmfG → x6ΧW → ΠQΒE → ΒarS
39,900×(max) 12 nodeshGΜm → v4ΩY → ΥMΖA → ΚijK → p0δe → δAΣ2 → βΗL4 → Χkh8 → Ξ2βG → ΩwV6 → ΣQΒC → ΖarO
39,573×(max) 12 nodesH0δΝ → δuX2 → βMΖ4 → Χij8 → Ξ0δG → δwV2 → βQΒ4 → Χar8 → ΞGΜG → xuXW → RMΖΓ → jark
39,533×(max) 12 nodesVQΒy → bSzs → XGΜw → vOΔY → fMΖo → j8Υk → Μ0δI → δsZ2 → βIΚ4 → Χqb8 → ΞEΞG → zwVU
39,445×(max) 12 nodesP6ΧΕ → ΠenE → Β8ΥS → ΜYtI → tKΘa → nIΚg → r6Χc → ΠEΞE → ΒyTS → ZUxu → TKΘΑ → nWvg
39,333×(max) 12 nodesFAΣΟ → ΘyTM → lUxi → T2βΑ → ΩWv6 → ΣOΔC → ΖenO → h8Υm → Μ4ΩI → ΥsZA → ΚIΚK → rodc
39,109×(max) 12 nodesFCΠΟ → ΔyTQ → dUxq → TCΠΑ → ΔWvQ → dOΔq → fCΠo → Δ8ΥQ → ΜcpI → tCΠa → ΔIΚQ → rcpc
39,077×(max) 12 nodesN8ΥΗ → ΜijI → t0δa → δIΚ2 → βqb4 → ΧEΞ8 → ΞyTG → xUxW → TQΒΑ → bWvs → PGΜΕ → venY
39,029×(max) 12 nodesD4ΩΡ → ΥΓPA → ΚcpK → pCΠe → ΔAΣQ → ΘcpM → lCΠi → Δ2βQ → Ωcp6 → ΣCΠC → ΖΓPO → hcpm
38,932×(max) 12 nodesT0δΑ → δWv2 → βOΔ4 → Χen8 → Ξ8ΥG → ΜwVI → tQΒa → bIΚs → rGΜc → vEΞY → zMΖU → jUxk
38,924×(max) 12 nodesPAΣΕ → ΘenM → l8Υi → Μ2βI → ΩsZ6 → ΣIΚC → ΖqbO → hEΞm → z4ΩU → ΥUxA → ΚSzK → pWve
38,924×(max) 12 nodesX4Ωw → ΥOΔA → ΚenK → p8Υe → ΜAΣI → ΘsZM → lIΚi → r2βc → ΩEΞ6 → ΣyTC → ΖUxO → hSzm
38,908×(max) 12 nodesd2βq → ΩCΠ6 → ΣΓPC → ΖcpO → hCΠm → Δ4ΩQ → ΥcpA → ΚCΠK → ΔodQ → dAΣq → ΘCΠM → ΔkhQ
38,828×(max) 12 nodesbMΖs → jGΜk → v0δY → δMΖ2 → βij4 → Χ0δ8 → δΝF2 → βwV4 → ΧQΒ8 → ΞarG → xGΜW → vQΒY
38,820×(max) 12 nodesN4ΩΗ → ΥijA → Κ0δK → δod2 → βAΣ4 → ΧΗL8 → ΞkhG → x2βW → ΩQΒ6 → ΣarC → ΖGΜO → vglY
38,733×(max) 12 nodes94ΩΦ → ΥΛHA → ΚsZK → pIΚe → rAΣc → ΘEΞM → zkhU → V2βy → ΩSz6 → ΣWvC → ΖOΔO → henm
38,566×(max) 12 nodes52βα → ΩΤ96 → ΣΙJC → ΖodO → hAΣm → Θ4ΩM → ΥkhA → Κ2βK → Ωod6 → ΣAΣC → ΘΕNM → lgli
38,493×(max) 12 nodesJAΣΛ → ΘqbM → lEΞi → z2βU → ΩUx6 → ΣSzC → ΖWvO → hOΔm → f4Ωo → Υ8ΥA → ΜΙJI → toda
38,422×(max) 12 nodesHEΞΝ → zuXU → VMΖy → jSzk → X0δw → δOΔ2 → βen4 → Χ8Υ8 → ΞΛHG → xsZW → RIΚΓ → rarc
38,053×(max) 12 nodesZ0δu → δKΘ2 → βmf4 → Χ6Χ8 → ΠΝFE → ΒwVS → ZQΒu → bKΘs → nGΜg → v6ΧY → ΠMΖE → ΒijS
38,013×(max) 12 nodesF0δΟ → δyT2 → βUx4 → ΧSz8 → ΞWvG → xOΔW → fQΒo → b8Υs → ΜGΜI → vsZY → NIΚΗ → rijc
37,309×(max) 12 nodesRAΣΓ → ΘarM → lGΜi → v2βY → ΩMΖ6 → ΣijC → Ζ0δO → δgl2 → β4Ω4 → ΧΤ98 → ΞΙJG → xodW
37,109×(max) 12 nodesL4ΩΙ → ΥmfA → Κ6ΧK → ΠodE → ΒAΣS → ΘYtM → lKΘi → n2βg → Ω6Χ6 → ΣΟDC → ΖΑRO → hYtm
36,773×(max) 12 nodesB2βΤ → ΩΗL6 → ΣkhC → Ζ2βO → Ωgl6 → Σ4ΩC → ΥΕNA → ΚglK → p4Ωe → ΥAΣA → ΚΗLK → pkhe
35,917×(max) 12 nodesF6ΧΟ → ΠyTE → ΒUxS → ZSzu → XKΘw → nOΔg → f6Χo → Π8ΥE → ΜΑRI → tYta → LIΚΙ → rmfc
35,861×(max) 12 nodes90δΦ → δΛH2 → βsZ4 → ΧIΚ8 → ΞqbG → xEΞW → zQΒU → bUxs → TGΜΑ → vWvY → PMΖΕ → jenk
35,821×(max) 12 nodes70δΨ → δΟD2 → βΑR4 → ΧYt8 → ΞKΘG → xmfW → R6ΧΓ → ΠarE → ΒGΜS → vYtY → NKΘΗ → nijg
35,796×(max) 12 nodesT8ΥΑ → ΜWvI → tOΔa → fIΚo → r8Υc → ΜEΞI → zsZU → VIΚy → rSzc → XEΞw → zOΔU → fUxo
35,780×(max) 12 nodesPCΠΕ → ΔenQ → d8Υq → ΜCΠI → ΔsZQ → dIΚq → rCΠc → ΔEΞQ → zcpU → VCΠy → ΔSzQ → dWvq
35,756×(max) 12 nodesLEΞΙ → zmfU → V6Χy → ΠSzE → ΒWvS → ZOΔu → fKΘo → n8Υg → Μ6ΧI → ΠsZE → ΒIΚS → rYtc
35,756×(max) 12 nodesL8ΥΙ → ΜmfI → t6Χa → ΠIΚE → ΒqbS → ZEΞu → zKΘU → nUxg → T6ΧΑ → ΠWvE → ΒOΔS → fYto
35,717×(max) 12 nodesD2βΡ → ΩΓP6 → ΣcpC → ΖCΠO → ΔglQ → d4Ωq → ΥCΠA → ΚΓPK → pcpe → DAΣΡ → ΘΓPM → lcpi
35,692×(max) 12 nodesJ0δΛ → δqb2 → βEΞ4 → ΧyT8 → ΞUxG → xSzW → XQΒw → bOΔs → fGΜo → v8ΥY → ΜMΖI → tija
35,685×(max) 12 nodesB8ΥΤ → ΜΗLI → tkha → J2βΛ → Ωqb6 → ΣEΞC → ΖyTO → hUxm → T4ΩΑ → ΥWvA → ΚOΔK → pene
35,684×(max) 12 nodesF2βΟ → ΩyT6 → ΣUxC → ΖSzO → hWvm → P4ΩΕ → ΥenA → Κ8ΥK → ΜodI → tAΣa → ΘIΚM → rkhc
35,684×(max) 12 nodesTAΣΑ → ΘWvM → lOΔi → f2βo → Ω8Υ6 → ΣΛHC → ΖsZO → hIΚm → r4Ωc → ΥEΞA → ΚyTK → pUxe
35,676×(max) 12 nodesNCΠΗ → ΔijQ → d0δq → δCΠ2 → βΓP4 → Χcp8 → ΞCΠG → ΔwVQ → dQΒq → bCΠs → ΔGΜQ → vcpY
35,661×(max) 12 nodesD8ΥΡ → ΜΓPI → tcpa → JCΠΛ → ΔqbQ → dEΞq → zCΠU → ΔUxQ → dSzq → XCΠw → ΔOΔQ → fcpo
35,652×(max) 12 nodesZMΖu → jKΘk → n0δg → δ6Χ2 → βΟD4 → ΧΑR8 → ΞYtG → xKΘW → nQΒg → b6Χs → ΠGΜE → ΒuXS
35,644×(max) 12 nodesL2βΙ → Ωmf6 → Σ6ΧC → ΠΕNE → ΒglS → Z4Ωu → ΥKΘA → ΚmfK → p6Χe → ΠAΣE → ΘΑRM → lYti
35,580×(max) 12 nodesR2βΓ → Ωar6 → ΣGΜC → ΖuXO → hMΖm → j4Ωk → Υ0δA → δΙJ2 → βod4 → ΧAΣ8 → ΞΗLG → xkhW
35,572×(max) 12 nodesh4Ωm → Υ4ΩA → ΥΙJA → ΚodK → pAΣe → ΘAΣM → ΘkhM → l2βi → Ω2β6 → ΩΡB6 → ΣΕNC → ΖglO
35,525×(max) 12 nodes74ΩΨ → ΥΟDA → ΚΑRK → pYte → LAΣΙ → ΘmfM → l6Χi → Π2βE → ΩΑR6 → ΣYtC → ΖKΘO → nglg
35,309×(max) 12 nodes50δα → δΤ92 → βΙJ4 → Χod8 → ΞAΣG → ΘwVM → lQΒi → b2βs → ΩGΜ6 → ΣuXC → ΖMΖO → jglk
35,269×(max) 12 nodesb4Ωs → ΥGΜA → ΚuXK → pMΖe → jAΣk → Θ0δM → δkh2 → β2β4 → ΩΦ76 → ΣΝFC → ΖwVO → hQΒm
35,189×(max) 12 nodes72βΨ → ΩΟD6 → ΣΑRC → ΖYtO → hKΘm → n4Ωg → Υ6ΧA → ΠΙJE → ΒodS → ZAΣu → ΘKΘM → nkhg
35,036×(max) 12 nodesJ6ΧΛ → ΠqbE → ΒEΞS → zYtU → VKΘy → nSzg → X6Χw → ΠOΔE → ΒenS → Z8Υu → ΜKΘI → tmfa
34,972×(max) 12 nodesP0δΕ → δen2 → β8Υ4 → ΧΛH8 → ΞsZG → xIΚW → rQΒc → bEΞs → zGΜU → vUxY → TMΖΑ → jWvk
34,860×(max) 12 nodesN2βΗ → Ωij6 → Σ0δC → δΕN2 → βgl4 → Χ4Ω8 → ΥΝFA → ΚwVK → pQΒe → bAΣs → ΘGΜM → vkhY
34,009×(max) 12 nodesbGΜs → vGΜY → vMΖY → jMΖk → j0δk → δ0δ2 → δα32 → βΦ74 → ΧΝF8 → ΞwVG → xQΒW → bQΒs
33,996×(max) 12 nodesJ8ΥΛ → ΜqbI → tEΞa → zIΚU → rUxc → TEΞΑ → zWvU → VOΔy → fSzo → X8Υw → ΜOΔI → tena
33,892×(max) 12 nodesREΞΓ → zarU → VGΜy → vSzY → XMΖw → jOΔk → f0δo → δ8Υ2 → βΛH4 → ΧsZ8 → ΞIΚG → xqbW
33,884×(max) 12 nodesJ4ΩΛ → ΥqbA → ΚEΞK → zodU → VAΣy → ΘSzM → lWvi → P2βΕ → Ωen6 → Σ8ΥC → ΜΕNI → tgla
33,876×(max) 12 nodesD0δΡ → δΓP2 → βcp4 → ΧCΠ8 → ΞΓPG → xcpW → RCΠΓ → ΔarQ → dGΜq → vCΠY → ΔMΖQ → jcpk
33,780×(max) 12 nodesHAΣΝ → ΘuXM → lMΖi → j2βk → Ω0δ6 → δΡB2 → βΕN4 → Χgl8 → Ξ4ΩG → ΥwVA → ΚQΒK → pare
33,780×(max) 12 nodesH2βΝ → ΩuX6 → ΣMΖC → ΖijO → h0δm → δ4Ω2 → βΤ94 → ΧΙJ8 → ΞodG → xAΣW → ΘQΒM → lari
32,493×(max) 12 nodesB4ΩΤ → ΥΗLA → ΚkhK → p2βe → ΩAΣ6 → ΣΗLC → ΖkhO → h2βm → Ω4Ω6 → ΥΡBA → ΚΕNK → pgle
31,781×(max) 12 nodesNAΣΗ → ΘijM → l0δi → δ2β2 → βΨ54 → ΧΡB8 → ΞΕNG → xglW → R4ΩΓ → ΥarA → ΚGΜK → vodY
30,756×(max) 12 nodesF8ΥΟ → ΜyTI → tUxa → TIΚΑ → rWvc → PEΞΕ → zenU → V8Υy → ΜSzI → tWva → PIΚΕ → renc
30,644×(max) 12 nodes92βΦ → ΩΛH6 → ΣsZC → ΖIΚO → rglc → F4ΩΟ → ΥyTA → ΚUxK → pSze → XAΣw → ΘOΔM → leni
30,612×(max) 12 nodesH6ΧΝ → ΠuXE → ΒMΖS → jYtk → L0δΙ → δmf2 → β6Χ4 → ΧΟD8 → ΞΑRG → xYtW → RKΘΓ → narg
30,548×(max) 12 nodesN0δΗ → δij2 → β0δ4 → δΦ72 → βΝF4 → ΧwV8 → ΞQΒG → xarW → RGΜΓ → varY → NGΜΗ → vijY
30,540×(max) 12 nodesB0δΤ → δΗL2 → βkh4 → Χ2β8 → ΩΝF6 → ΣwVC → ΖQΒO → harm → H4ΩΝ → ΥuXA → ΚMΖK → pije
20,390×6 nodesdKΘq → nCΠg → Δ6ΧQ → ΠcpE → ΒCΠS → ΔYtQ
19,158×6 nodesXIΚw → rOΔc → fEΞo → z8ΥU → ΜUxI → tSza
19,054×6 nodesR0δΓ → δar2 → βGΜ4 → ΧuX8 → ΞMΖG → xijW
19,046×6 nodesl4Ωi → Υ2βA → ΩΙJ6 → ΣodC → ΖAΣO → ΘglM
18,879×6 nodesLCΠΙ → ΔmfQ → d6Χq → ΠCΠE → ΔΑRQ → dYtq
18,578×6 nodesZKΘu → nKΘg → n6Χg → Π6ΧE → ΠΑRE → ΒYtS
18,578×6 nodesL6ΧΙ → ΠmfE → Β6ΧS → ΠYtE → ΒKΘS → nYtg
15,350×6 nodesD6ΧΡ → ΠΓPE → ΒcpS → ZCΠu → ΔKΘQ → ncpg
9,841×3 nodesdCΠq → ΔCΠQ → ΔcpQ
9,289×3 nodesZ6Χu → ΠKΘE → ΒmfS
52 cycles38,626,538×3 nodesySεzV → ΑTεyT → zWεvU
19,313,890×(max) 4 nodesyTεyV → zSεzU → ΑUεxT → zVεwU
63 cycles921,094,461×(max) 118 nodesFA4ΩΤΟ → ΥΙyTKA → ΚoUxeK → pT9Τze → ΚWAΣwK → ΘpPΓdM → ldBΡpi → ΖC2βΡO → ΩΕglO6 → Σg4ΩmC → ΥΖ5ΨNA → ΣΚhkJC → Ζq2βcO → ΩhDΟl6 → ΣΒ3αRC → ΧΖZsN8 → ΞiIΚkG → xr1γbW → βRFΝΒ4 → ΧxZsV8 → ΞSIΚΑG → xrXubW → RNFΝΖΓ → xiarkW → RH1γΜΓ → βuarY4 → ΧMGΜΗ8 → ΞvjiXG → xO0δΕW → δgQΒm2 → βb5Ψr4 → ΧΣFΝB8 → ΞΗwVMG → xkQΒiW → bR1γΒs → βaGΜs4 → ΧvHΛX8 → ΞtNΕZG → xhJΙlW → pR3αΒe → ΧaAΣs8 → ΞΘHΛLG → xtlgZW → RK4ΩΙΓ → ΥoareA → ΚH9ΤΜK → ΚuodYK → pMAΣΗe → ΘkAΣiM → Θl1γhM → βl3αh4 → ΨΦ3α87 → ΧΠΜGD8 → ΞΓuXQG → xcMΖqW → jRDΟΒk → Βa0δsS → δZHΛt2 → βtJΙZ4 → ΧpJΙd8 → ΞpBΡdG → ΖxBΡVO → ΖhRΑlO → hZ3αtm → ΧK4ΩΙ8 → ΥΞneFA → Κy8ΥUK → ΜpTydI → tVBΡxa → ΖSIΚΑO → rhXulc → NF3αΞΗ → ΧyijU8 → ΞU0δyG → δxTyV2 → βVRΑx4 → ΧZRΑt8 → ΞZJΙtG → xpJΙdW → pRBΡΒe → ΖaAΣsO → ΘhHΛlM → tl3αha → ΧJ3αΚ8 → ΧΞpcF8 → ΞyCΠUG → ΔxTyVQ → dVRΑxq → ZSCΠΑu → ΔYKΘuQ → ndLΗpg → lC6ΧΡi → ΠΕ2βOE → ΩΒfmR6 → Σa6ΧsC → ΠΖHΛNE → ΒthkZS → ZK2βΙu → ΩoKΘe6 → Σn9ΤfC → ΚΖ7ΦNK → ΞphkdG → xC2βΡW → ΩΕQΒO6 → ΣgarmC → ΖH5ΨΜO → ΣuglYC → ΖM4ΩΗO → ΥkgliA → Κ51γΩK → βΤodA4 → ΧΙAΣK8 → ΞΘneLG → xm8ΥgW → ΜR5ΨΒI → ΣtZsZC → ΖKIΚΙO → roglec
5,898,494×5 nodesxiCΠkW → ΔR1γΒQ → βdZsp4 → ΧJBΡΚ8 → ΞΖpcNG
55,258×3 nodesZA6ΧΤu → ΠΙKΘKE → ΒomfeS
71 cycle 12,846,240,693×(max) 8 nodesΗjJεΙjN → ΚlMεΖhK → ΙnNεΕfL → ΘlOεΔhM → ΗjLεΗjN → ΘjMεΖjM → ΗlLεΗhN → ΘjOεΔjM
8+---Not showing digit sets 8+ due to verbosity.