Base 11: Cycles Sequences: All Cycle Counts

Blog: The First Pixel: Kaprekar's Constant 6174

Summary
[All Digit Sets]
[Odd Digit Sets]
[Even Digit Sets]
Final Numbers
[Fixed Points]
Cycles Lengths
[All Digit Sets]
[Odd Digit Sets]
[Even Digit Sets]
Iteration Frequencies
[Cycle Start]
[Full Cycle]
Maximum Iteration Sequences
[Cycle Start]
[Full Cycle]
Cycles Sequences
[Maximum Length Cycle Count]
[All Cycle Counts] — [2] [3] [4] [5] [6] [7] [8] [9] [10] [Base 11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48] [49] [50] [51] [52] [53] [54] [55] [56] [57] [58] [59] [60] [61] [62] [63] [64] [65] [66] [67] [68] [69] [70] [71] [72] [73] [74] [75] [76] [77] [78] [79] [80] [81] [82] [83] [84] [85] [86] [87] [88] [89] [90] [91] [92] [93] [94] [95] [96] [97] [98] [99] [100] [101] [102] [103] [104] [105] [106] [107] [108] [109] [110] [111] [112] [113] [114] [115] [116] [117] [118] [119] [120] [121] [122] [123] [124] [125] [126] [127] [128] [129] [130] [131] [132] [133] [134] [135] [136] [137] [138] [139] [140] [141] [142] [143] [144] [145] [146] [147] [148] [149] [150] [151] [152] [153] [154] [155] [156] [157] [158] [159] [160] [161] [162] [163] [164] [165] [166] [167] [168] [169] [170] [171] [172] [173] [174] [175] [176] [177] [178] [179] [180] [181] [182] [183] [184] [185] [186] [187] [188] [189] [190] [191] [192] [193] [194] [195] [196] [197] [198] [199] [200] [201] [202] [203] [204] [205] [206] [207] [208] [209] [210] [211] [212] [213] [214] [215] [216] [217] [218] [219] [220] [221] [222] [223] [224] [225] [226] [227] [228] [229] [230] [231] [232] [233] [234] [235] [236] [237] [238] [239] [240] [241] [242] [243] [244] [245] [246] [247] [248] [249] [250] [251] [252] [253] [254] [255]

Radix Character Encoding
0	1	2	3	4	5	6	7	8	9	A

Color Key
Orange	Fixed Point	number that becomes itself after one iteration
Green	Final Numbers	all numbers eventually reached, from all cycles
Purple	Cycle Start	iterations include entry into cycle, assuming it repeats
Red	Full Cycle	iterations include entire cycle, proving it repeats
Blue	Start Numbers	subset (optimization) of all numbers; minimal for full coverage
Gray	No Results	any calculation that has no results

Digits	# Full Cycles (excluding zero)	Frequency	Cycle Length	Full Cycles (excluding zero) (bold = exactly one cycle [excluding zero])
1	0 cycles	-	-	-
2	1 cycle	40×	(fixed) (max) 1 node	⮎ 37 ⮌
3	1 cycle	275×	(max) 2 nodes	⮎ 4A6 → 5A5 ⮌
4	2 cycles	525×	(max) 5 nodes	⮎ 5096 → 9092 → 9632 → 7274 → 5276 ⮌
4	2 cycles	465×	(max) 5 nodes	⮎ 3098 → 9452 → 7094 → 9272 → 7454 ⮌
5	1 cycle	2,992×	(max) 4 nodes	⮎ 72A74 → 82A73 → 84A53 → 73A64 ⮌
6	1 cycle	7,997×	(max) 4 nodes	⮎ 531876 → 740964 → 931872 → 863643 ⮌
7	2 cycles	14,065×	(max) 14 nodes	⮎ 631A875 → 951A852 → 972A732 → 873A633 → 753A654 → 730A974 → A62A741 → 982A722 → 875A433 → 752A754 → 831A873 → 954A552 → 84AAA53 → 764A544 ⮌
7	2 cycles	5,372×	4 nodes	⮎ 751A854 → 941A862 → 973A632 → 863A643 ⮌
8	3 cycles	31,289×	(max) 7 nodes	⮎ 75218854 → 762AA744 → 86309743 → 95418652 → 861AA843 → 97418632 → 86418643 ⮌
		9,646×	4 nodes	⮎ 53218876 → 76409644 → 93218872 → 86636443 ⮌
		2,812×	(fixed) 1 node	⮎ 74318764 ⮌
9	2 cycles	89,155×	(max) 7 nodes	⮎ 871AAA833 → 9770A9332 → A763A6431 → 9741A8632 → 9752A7532 → 8741A8633 → 9552A7552 ⮌
9	2 cycles	3,212×	(fixed) 1 node	⮎ 9751A8532 ⮌
10	4 cycles	118,336×	(max) 11 nodes	⮎ 8621AA8843 → 9854186522 → 8661AA8443 → 9743AA6632 → 8762AA7433 → 8753097533 → 9543AA6652 → 8751099533 → 9853AA6522 → 8863097423 → 9654186542 ⮌
		45,027×	5 nodes	⮎ 7631AA8744 → 9743097632 → 9744186632 → 8642188643 → 7652188544 ⮌
		10,941×	4 nodes	⮎ 5322188876 → 7664096444 → 9322188872 → 8666364443 ⮌
		10,441×	2 nodes	⮎ 7432188764 → 7643187644 ⮌
11	3 cycles	124,508×	5 nodes	⮎ 97530A97532 → A7641A86431 → 99531A87512 → 98751A85322 → 97651A85432 ⮌
		118,929×	(max) 10 nodes	⮎ 85431A87653 → 95530A97552 → A761AAA8431 → 99761A84312 → 98752A75322 → 87641A86433 → 95531A87552 → 9751AAA8532 → 98742A76322 → 87642A76433 ⮌
		109,268×	6 nodes	⮎ 87430A97633 → A6542A76541 → 98320A98722 → A7764A54331 → 97431A87632 → 97542A76532 ⮌
12	4 cycles	605,086×	(max) 6 nodes	⮎ 775310997534 → 98442AA76622 → 88742AA76323 → 885530975523 → 9653AAAA6542 → 87653AA65433 ⮌
		17,997×	4 nodes	⮎ 532221888876 → 766640964444 → 932221888872 → 866663644443 ⮌
		12,305×	2 nodes	⮎ 743221888764 → 766431876444 ⮌
		11,247×	(fixed) 1 node	⮎ 764321887644 ⮌
13	2 cycles	592,671×	(max) 5 nodes	⮎ 976530A975432 → A76430A976431 → A96431A876411 → 998531A875212 → 987651A854322 ⮌
13	2 cycles	551,384×	(max) 5 nodes	⮎ 984430A976622 → A77531A875331 → 995441A866512 → 987420A986322 → A77652A754331 ⮌
14	4 cycles	1,898,921×	(max) 17 nodes	⮎ 76522218888544 → 766631AA874444 → 974331AA877632 → 98654309765422 → 976421AA886432 → 987542AA765322 → 88753209875323 → 966543AA665442 → 87522109988533 → 986653AA654422 → 88642109986423 → 98665218854422 → 866621AA884443 → 985441AA866522 → 98744109966322 → 98764218864322 → 86664218864443 ⮌
		24,757×	2 nodes	⮎ 76432218887644 → 76643218876444 ⮌
		19,559×	2 nodes	⮎ 74322218888764 → 76664318764444 ⮌
		18,008×	4 nodes	⮎ 53222218888876 → 76666409644444 → 93222218888872 → 86666636444443 ⮌
15	1 cycle	3,268,749×	(max) 12 nodes	⮎ 9844320A9876622 → A776531A8754331 → 9954430A9766512 → A876320A9874321 → A976542A7654311 → 9974320A9876312 → A877542A7653321 → 9864430A9766422 → A775321A8875331 → 9965441A8665412 → 9874220A9886322 → A776652A7544331 ⮌
16	5 cycles	5,204,844×	(max) 19 nodes	⮎ 7665222188885444 → 7666321AA8874444 → 9854331AA8776522 → 9875532098755322 → 976643AAAA664432 → 877652AAAA754333 → 8777422098863333 → 9665444186665442 → 8622221AA8888843 → 9866654186544422 → 8662221AA8888443 → 9866543AA6654422 → 8864221099886423 → 9866652188544422 → 8666221AA8884443 → 9865441AA8665422 → 9874421099866322 → 9876642188644322 → 8666422188864443 ⮌
		37,008×	2 nodes	⮎ 7643222188887644 → 7666432188764444 ⮌
		27,323×	4 nodes	⮎ 5322222188888876 → 7666664096444444 → 9322222188888872 → 8666666364444443 ⮌
		26,494×	2 nodes	⮎ 7432222188888764 → 7666643187644444 ⮌
		16,055×	(fixed) 1 node	⮎ 7664322188876444 ⮌
17	3 cycles	6,586,697×	5 nodes	⮎ 99654320A98765412 → A8775320A98753321 → A9765441A86654311 → 99853220A98875212 → A8776651A85443321 ⮌
		1,674,121×	(max) 7 nodes	⮎ 98644320A98766422 → A7765321A88754331 → 99654430A97665412 → A8763220A98874321 → A9766542A76544311 → 99743220A98876312 → A8776542A76543321 ⮌
		175,456×	(fixed) 1 node	⮎ A9875430A97653211 ⮌
18	6 cycles	12,883,616×	(max) 20 nodes	⮎ 76663221AA88874444 → 98654331AA87765422 → 987553310997755322 → 9876443AAAA6664322 → 8877542AAAA7653323 → 887754220988653323 → 96665441AA86654442 → 985422210998886522 → 98766661AA84444322 → 98754321AA88765322 → 987655320987554322 → 9766441AAAA8664432 → 9876542AAAA7654322 → 88875421AA88653223 → 986655420986554422 → 9766221AAAA8884432 → 988864420986642222 → 976666221888444432 → 866642221888864443 → 766652221888854444 ⮌
		57,875×	(fixed) 1 node	⮎ 99775521AA88553312 ⮌
		53,335×	2 nodes	⮎ 764322221888887644 → 766664321887644444 ⮌
		47,482×	2 nodes	⮎ 766432221888876444 → 766643221888764444 ⮌
		41,431×	2 nodes	⮎ 743222221888888764 → 766666431876444444 ⮌
		39,360×	4 nodes	⮎ 532222221888888876 → 766666640964444444 → 932222221888888872 → 866666663644444443 ⮌
19	3 cycles	13,052,030×	(max) 5 nodes	⮎ 998654320A987654212 → A87765320A987543321 → A97654430A976654311 → A98643220A988764211 → A98766531A875443211 ⮌
		6,933,037×	2 nodes	⮎ A98754320A987653211 → A98765430A976543211 ⮌
		44,932×	(fixed) 1 node	⮎ AA9875430A976532101 ⮌
20	6 cycles	29,766,051×	(max) 8 nodes	⮎ 88775431AAAA87653323 → 98775542209886553322 → 97666441AAAA86644432 → 98765431AAAA87654322 → 988764421AA886643222 → 987665431AA876544322 → 98755332109987755322 → 98766443AAAA66644322 ⮌
		76,713×	2 nodes	⮎ 76432222218888887644 → 76666643218876444444 ⮌
		70,841×	2 nodes	⮎ 76643222218888876444 → 76666432218887644444 ⮌
		48,089×	2 nodes	⮎ 74322222218888888764 → 76666664318764444444 ⮌
		46,613×	4 nodes	⮎ 53222222218888888876 → 76666666409644444444 → 93222222218888888872 → 86666666636444444443 ⮌
		36,697×	(fixed) 1 node	⮎ 76664322218888764444 ⮌
21	4 cycles	34,273,066×	(max) 2 nodes	⮎ A987543220A9887653211 → A987665430A9765443211 ⮌
		9,508,715×	(fixed) 1 node	⮎ A987654320A9876543211 ⮌
		525,441×	(max) 2 nodes	⮎ AA98754320A9876532101 → AA98765430A9765432101 ⮌
		44,932×	(fixed) 1 node	⮎ AAA9875430A9765321001 ⮌
22	7 cycles	46,153,549×	(max) 24 nodes	⮎ 7665222222188888885444 → 7666666321AA8874444444 → 9854332221AA8888776522 → 9876665532098755444322 → 976644221AAAA888664432 → 988864442AAAA766642222 → 888874442AAAA766632223 → 8888554430AA9766552223 → A876554310AA9976554321 → A997653310AA9977543111 → A998866432098764422111 → A888666422188864442221 → 9766666222188884444432 → 8666642222188888644443 → 7666652222188888544444 → 7666632221AA8888744444 → 9866543321AA8877654422 → 9876553321099877554322 → 987664441AAAA866644322 → 988754431AAAA876653222 → 9888654421AA8866542222 → 9876664421099866444322 → 9876642222188888644322 → 8666666422188864444443 ⮌
		17,966,679×	12 nodes	⮎ 887754321AAAA887653323 → 9887555422098865553222 → 97666641AAAAAA86444432 → 987666540AAAA965444322 → A887554310AA9976553221 → A997755320AA9875533111 → A998765421AA8865432111 → 9998765431099765432112 → 9888764421AA8866432222 → 9876665431AA8765444322 → 9875533221099887755322 → 987666443AAAA666444322 ⮌
		92,401×	2 nodes	⮎ 7664322222188888876444 → 7666664322188876444444 ⮌
		90,554×	2 nodes	⮎ 7643222222188888887644 → 7666666432188764444444 ⮌
		88,090×	2 nodes	⮎ 7666432222188888764444 → 7666643222188887644444 ⮌
		66,933×	2 nodes	⮎ 7432222222188888888764 → 7666666643187644444444 ⮌
		54,023×	4 nodes	⮎ 5322222222188888888876 → 7666666664096444444444 → 9322222222188888888872 → 8666666666364444444443 ⮌
23	6 cycles	64,783,430×	(max) 2 nodes	⮎ A9876543220A98876543211 → A9876654320A98765443211 ⮌
		24,623,077×	(max) 2 nodes	⮎ A9875432220A98887653211 → A9876665430A97654443211 ⮌
		1,509,125×	(max) 2 nodes	⮎ AA987543220A98876532101 → AA987665430A97654432101 ⮌
		1,075,024×	(fixed) 1 node	⮎ AA987654320A98765432101 ⮌
		525,441×	(max) 2 nodes	⮎ AAA98754320A98765321001 → AAA98765430A97654321001 ⮌
		44,932×	(fixed) 1 node	⮎ AAAA9875430A97653210001 ⮌
24	7 cycles	130,532,233×	(max) 12 nodes	⮎ 88887544320AA98766532223 → A87665553310997755544321 → A88644421AAAAAA886664221 → 99888664421AA88664422212 → 99776664421AA88664443312 → 99775533221AA88877553312 → 99776554421AA88665543312 → 99775533210AA99877553312 → A9877654421AA88665433211 → 999765533210998775543112 → 9888764441AAAA8666432222 → 9888754442AAAA7666532222 ⮌
		133,674×	2 nodes	⮎ 766432222221888888876444 → 766666643221888764444444 ⮌
		125,878×	2 nodes	⮎ 766643222221888888764444 → 766666432221888876444444 ⮌
		115,758×	2 nodes	⮎ 764322222221888888887644 → 766666664321887644444444 ⮌
		82,403×	2 nodes	⮎ 743222222221888888888764 → 766666666431876444444444 ⮌
		78,304×	4 nodes	⮎ 532222222221888888888876 → 766666666640964444444444 → 932222222221888888888872 → 866666666663644444444443 ⮌
		59,879×	(fixed) 1 node	⮎ 766664322221888887644444 ⮌
25	9 cycles	71,599,313×	(fixed) 1 node	⮎ A98766543220A988765443211 ⮌
		69,884,000×	(max) 2 nodes	⮎ A98765432220A988876543211 → A98766654320A987654443211 ⮌
		31,140,155×	(max) 2 nodes	⮎ A98754322220A988887653211 → A98766665430A976544443211 ⮌
		5,135,982×	(max) 2 nodes	⮎ AA9876543220A988765432101 → AA9876654320A987654432101 ⮌
		2,665,413×	(max) 2 nodes	⮎ AA9875432220A988876532101 → AA9876665430A976544432101 ⮌
		1,509,125×	(max) 2 nodes	⮎ AAA987543220A988765321001 → AAA987665430A976544321001 ⮌
		1,075,024×	(fixed) 1 node	⮎ AAA987654320A987654321001 ⮌
		525,441×	(max) 2 nodes	⮎ AAAA98754320A987653210001 → AAAA98765430A976543210001 ⮌
		44,932×	(fixed) 1 node	⮎ AAAAA9875430A976532100001 ⮌
26	10 cycles	193,484,019×	(max) 22 nodes	⮎ 888875443310AA997766532223 → A9776555433109977655543311 → A888444421AAAAAA8866662221 → 998888644421AA886664222212 → 997766664421AA886644443312 → 997755332221AA888877553312 → 997766554421AA886655443312 → 997755332210AA998877553312 → A98777554421AA886655333211 → 999765543310AA997765543112 → A98876643310AA997764432211 → A99877554331AA877655332111 → 999875544320AA987665532112 → A98777553310AA997755333211 → A99876544421AA886665432111 → 99987654322109988765432112 → 988876664421AA886644432222 → 987666543221AA888765444322 → 98766553322109988775544322 → 98766644421AAAA88666444322 → 98886444321AAAA88766642222 → 98887654442AAAA76665432222 ⮌
		36,677,578×	13 nodes	⮎ 997654433210AA998776654312 → A9877654332109987765433211 → A88866444421AA886666442221 → 998666442221AA888866444212 → 997766644221AA888664443312 → 997765533221AA888775543312 → 997765544320AA987665543312 → A97765433210AA998776543311 → A9987654433109977665432111 → A88886444221AA888666422221 → 998666664421AA886644444212 → 997764422221AA888886643312 → 997766655331AA877554443312 ⮌
		19,930,548×	6 nodes	⮎ 988876543320AA987765432222 → A8776655433109977655443321 → A8864444221AAAA88866664221 → 99888644441AAAA86666422212 → 99887744441AAAA86666332212 → 99887654432AAAA77665432212 ⮌
		3,255,497×	(fixed) 1 node	⮎ A99877554320AA987655332111 ⮌
		170,146×	2 nodes	⮎ 76666432222218888887644444 → 76666643222218888876444444 ⮌
		163,914×	2 nodes	⮎ 76664322222218888888764444 → 76666664322218888764444444 ⮌
		160,918×	2 nodes	⮎ 76643222222218888888876444 → 76666666432218887644444444 ⮌
		144,712×	2 nodes	⮎ 76432222222218888888887644 → 76666666643218876444444444 ⮌
		108,755×	2 nodes	⮎ 74322222222218888888888764 → 76666666664318764444444444 ⮌
		90,758×	4 nodes	⮎ 53222222222218888888888876 → 76666666666409644444444444 → 93222222222218888888888872 → 86666666666636444444444443 ⮌
27	14 cycles	159,278,032×	(max) 2 nodes	⮎ A987665432220A9888765443211 → A987666543220A9887654443211 ⮌
		73,128,453×	(max) 2 nodes	⮎ A987654322220A9888876543211 → A987666654320A9876544443211 ⮌
		60,210,342×	(max) 2 nodes	⮎ A987543222220A9888887653211 → A987666665430A9765444443211 ⮌
		25,504,562×	(max) 2 nodes	⮎ A98887544430AAA976665322211 → A998775543310A9977655332111 ⮌
		10,379,679×	(max) 2 nodes	⮎ AA98765432220A9888765432101 → AA98766654320A9876544432101 ⮌
		5,135,982×	(max) 2 nodes	⮎ AAA9876543220A9887654321001 → AAA9876654320A9876544321001 ⮌
		4,527,143×	(fixed) 1 node	⮎ AA98766543220A9887654432101 ⮌
		4,341,929×	(max) 2 nodes	⮎ AA98754322220A9888876532101 → AA98766665430A9765444432101 ⮌
		2,665,413×	(max) 2 nodes	⮎ AAA9875432220A9888765321001 → AAA9876665430A9765444321001 ⮌
		1,509,125×	(max) 2 nodes	⮎ AAAA987543220A9887653210001 → AAAA987665430A9765443210001 ⮌
		1,075,024×	(fixed) 1 node	⮎ AAAA987654320A9876543210001 ⮌
		525,441×	(max) 2 nodes	⮎ AAAAA98754320A9876532100001 → AAAAA98765430A9765432100001 ⮌
		44,932×	(fixed) 1 node	⮎ AAAAAA9875430A9765321000001 ⮌
		4,068×	(fixed) 1 node	⮎ 999777555221AAA888555333112 ⮌
28	10 cycles	452,525,028×	(max) 45 nodes	⮎ 8888754433210AA9987766532223 → A977665554331099776555443311 → A8884444221AAAAAA88866662221 → 9988888444421AA8866662222212 → 9977666664421AA8866444443312 → 9977553322221AA8888877553312 → 9977666554421AA8866554443312 → 9977553322210AA9988877553312 → A987776554421AA8866554333211 → 9997655433210AA9987765543112 → A988776543310AA9977654332211 → A998775544331099776655332111 → A88886444421AAAA886666422221 → 998886644441AAAA866664422212 → 998877444421AAAA886666332212 → 998877554432AAAA776655332212 → 9888765533221099887755432222 → 987666664441AAAA866644444322 → 988754432221AAAA888876653222 → 9888766554421AA8866554432222 → 9876665432210AA9988765444322 → A977765533221099887755433311 → A88866444441AAAA866666442221 → 998884444221AAAA888666622212 → 998877664443AAAA666644332212 → 988866543321AAAA887765442222 → 9888765544320AA9876655432222 → A877665533210AA9987755443321 → A997755443310AA9977665533111 → A998866443310AA9977664422111 → A998877553321AA8877553322111 → 9998766554421AA8866554432112 → 9987765432210AA9988765433212 → A987776554331099776554333211 → A88864444421AAAA886666642221 → 998886444421AAAA886666422212 → 998877644441AAAA866664332212 → 998876544331AAAA877665432212 → 9988765543320AA9877655432212 → A977765543310AA9977655433311 → A998664443310AA9977666442111 → A998876533221AA8887754322111 → 9998766655432098765544432112 → 988766442221AAAA888866443222 → 988876654442AAAA766654432222 ⮌
		18,834,556×	7 nodes	⮎ 9977554433210AA9987766553312 → A987765443310AA9977665433211 → A998765443321099877665432111 → A888866444221AA8886664422221 → 9986666644221AA8886644444212 → 9977664422221AA8888866443312 → 9977666553321AA8877554443312 ⮌
		224,939×	2 nodes	⮎ 7664322222222188888888876444 → 7666666664322188876444444444 ⮌
		210,400×	(fixed) 1 node	⮎ AA99877554320AA9876553321101 ⮌
		209,938×	2 nodes	⮎ 7666432222222188888888764444 → 7666666643222188887644444444 ⮌
		202,914×	2 nodes	⮎ 7666643222222188888887644444 → 7666666432222188888764444444 ⮌
		188,551×	2 nodes	⮎ 7643222222222188888888887644 → 7666666666432188764444444444 ⮌
		126,389×	2 nodes	⮎ 7432222222222188888888888764 → 7666666666643187644444444444 ⮌
		109,893×	4 nodes	⮎ 5322222222222188888888888876 → 7666666666664096444444444444 → 9322222222222188888888888872 → 8666666666666364444444444443 ⮌
		101,137×	(fixed) 1 node	⮎ 7666664322222188888876444444 ⮌
29	20 cycles	188,700,075×	2 nodes	⮎ A9876654322220A98888765443211 → A9876666543220A98876544443211 ⮌
		111,101,611×	(fixed) 1 node	⮎ A9876665432220A98887654443211 ⮌
		101,430,370×	2 nodes	⮎ A9876543222220A98888876543211 → A9876666654320A98765444443211 ⮌
		61,435,001×	(max) 16 nodes	⮎ 9888877444420AAA9866663322222 → A887766554331AAA8776554433221 → 99885554333110A99977765552212 → A88877654430AAAAA976654332221 → A988876544321AAA8876654322211 → 99987665543310A99776554432112 → A888775443220AAA9887665332221 → A9887665553320A98775554432211 → A98766544320AAAAA987665443211 → A998876544320AAA9876654322111 → A9997775543310A99776553331111 → A988886444430AAA9766664222211 → A998776544321AAA8876654332111 → 99997755533310A99777555331112 → A88887644441AAAAA866664322221 → 998888544442AAAAA766665222212 ⮌
		51,454,240×	2 nodes	⮎ A9875432222220A98888887653211 → A9876666665430A97654444443211 ⮌
		24,957,945×	2 nodes	⮎ A988876544430AAA9766654322211 → A9987755433210A99877655332111 ⮌
		24,539,751×	2 nodes	⮎ A988875444320AAA9876665322211 → A9987765543310A99776554332111 ⮌
		15,859,388×	2 nodes	⮎ AA987665432220A98887654432101 → AA987666543220A98876544432101 ⮌
		13,838,722×	2 nodes	⮎ AA987654322220A98888765432101 → AA987666654320A98765444432101 ⮌
		10,379,679×	2 nodes	⮎ AAA98765432220A98887654321001 → AAA98766654320A98765444321001 ⮌
		6,482,811×	2 nodes	⮎ AA987543222220A98888876532101 → AA987666665430A97654444432101 ⮌
		5,740,803×	2 nodes	⮎ AA98887544430AAA9766653222101 → AA998775543310A99776553321101 ⮌
		5,135,982×	2 nodes	⮎ AAAA9876543220A98876543210001 → AAAA9876654320A98765443210001 ⮌
		4,527,143×	(fixed) 1 node	⮎ AAA98766543220A98876544321001 ⮌
		4,341,929×	2 nodes	⮎ AAA98754322220A98888765321001 → AAA98766665430A97654444321001 ⮌
		2,665,413×	2 nodes	⮎ AAAA9875432220A98887653210001 → AAAA9876665430A97654443210001 ⮌
		1,509,125×	2 nodes	⮎ AAAAA987543220A98876532100001 → AAAAA987665430A97654432100001 ⮌
		1,075,024×	(fixed) 1 node	⮎ AAAAA987654320A98765432100001 ⮌
		525,441×	2 nodes	⮎ AAAAAA98754320A98765321000001 → AAAAAA98765430A97654321000001 ⮌
		44,932×	(fixed) 1 node	⮎ AAAAAAA9875430A97653210000001 ⮌
30	11 cycles	390,243,998×	16 nodes	⮎ 988766664441AAAAAA866644443222 → 988876544431AAAAAA876665432222 → 9888876444421AAAA8866664322222 → 9888766544431AAAA8766654432222 → 98887554433210AA99877665532222 → A9777665543310AA99776554433311 → A9986644433210AA99877666442111 → A9988775533221AA88877553322111 → 99987666554421AA88665544432112 → 99877654322210AA99888765433212 → A98777665543310997765544333211 → A888644444221AAAA8886666642221 → 9988866444421AAAA8866664422212 → 9988776444421AAAA8866664332212 → 9988775544331AAAA8776655332212 → 998876555332210998877555432212 ⮌
		357,432,357×	(max) 17 nodes	⮎ 88887544332210AA99887766532223 → A97766655543310997765554443311 → A88844442221AAAAAA888866662221 → 99888886444421AA88666642222212 → 99776666644221AA88866444443312 → 99776553322221AA88888775543312 → 99776665544320AA98766554443312 → A9776543322210AA99888776543311 → A99877655443310997766554332111 → A888864444221AAAA8886666422221 → 9988866644441AAAA8666644422212 → 9988774444221AAAA8886666332212 → 9988776554432AAAA7766554332212 → 988876553332110999877755432222 → 9887666644441AAAA8666644443222 → 9888644432221AAAA8888766642222 → 9888766654442AAAA7666544432222 ⮌
		98,214,300×	8 nodes	⮎ 99987655332210AA99887755432112 → A9887776554320AA98765543332211 → A9977655443310AA99776655433111 → A9988664433210AA99877664422111 → A9988776553321AA88775543322111 → 99987665544320AA98766554432112 → A9877755332210AA99887755333211 → A9987765544421AA88666554332111 ⮌
		283,210×	2 nodes	⮎ 766664322222221888888887644444 → 766666664322221888887644444444 ⮌
		280,762×	2 nodes	⮎ 766643222222221888888888764444 → 766666666432221888876444444444 ⮌
		257,522×	2 nodes	⮎ 766666432222221888888876444444 → 766666643222221888888764444444 ⮌
		240,943×	2 nodes	⮎ 766432222222221888888888876444 → 766666666643221888764444444444 ⮌
		214,092×	2 nodes	⮎ 764322222222221888888888887644 → 766666666664321887644444444444 ⮌
		210,400×	(fixed) 1 node	⮎ AAA99877554320AA98765533211001 ⮌
		161,568×	2 nodes	⮎ 743222222222221888888888888764 → 766666666666431876444444444444 ⮌
		121,365×	4 nodes	⮎ 532222222222221888888888888876 → 766666666666640964444444444444 → 932222222222221888888888888872 → 866666666666663644444444444443 ⮌
31	27 cycles	278,510,601×	2 nodes	⮎ A98766543222220A988888765443211 → A98766666543220A988765444443211 ⮌
		239,281,869×	2 nodes	⮎ A98766654322220A988887654443211 → A98766665432220A988876544443211 ⮌
		129,868,753×	2 nodes	⮎ A98765432222220A988888876543211 → A98766666654320A987654444443211 ⮌
		88,688,319×	2 nodes	⮎ A9888765444320AAA98766654322211 → A99877655433210A998776554332111 ⮌
		71,447,990×	2 nodes	⮎ A98754322222220A988888887653211 → A98766666665430A976544444443211 ⮌
		69,370,239×	(max) 6 nodes	⮎ 999987655433310A997776554321112 → A8888775444320AAA98766653322221 → A98876655533310A997775554432211 → A988765444320AAAAA9876665432211 → A9988866444320AAA98766644222111 → A9997776544321AAA88766543331111 ⮌
		46,822,132×	2 nodes	⮎ A9888766544430AAA97666544322211 → A99877554332210A998877655332111 ⮌
		37,023,565×	2 nodes	⮎ A9888754443220AAA98876665322211 → A99877665543310A997765544332111 ⮌
		26,819,403×	2 nodes	⮎ AA9876654322220A988887654432101 → AA9876666543220A988765444432101 ⮌
		20,494,236×	2 nodes	⮎ AA9876543222220A988888765432101 → AA9876666654320A987654444432101 ⮌
		17,273,751×	(fixed) 1 node	⮎ AA9876665432220A988876544432101 ⮌
		15,859,388×	2 nodes	⮎ AAA987665432220A988876544321001 → AAA987666543220A988765444321001 ⮌
		13,838,722×	2 nodes	⮎ AAA987654322220A988887654321001 → AAA987666654320A987654444321001 ⮌
		10,379,679×	2 nodes	⮎ AAAA98765432220A988876543210001 → AAAA98766654320A987654443210001 ⮌
		9,585,192×	2 nodes	⮎ AA9875432222220A988888876532101 → AA9876666665430A976544444432101 ⮌
		9,494,117×	2 nodes	⮎ AA988875444320AAA98766653222101 → AA9987765543310A997765543321101 ⮌
		6,482,811×	2 nodes	⮎ AAA987543222220A988888765321001 → AAA987666665430A976544444321001 ⮌
		5,740,803×	2 nodes	⮎ AAA98887544430AAA97666532221001 → AAA998775543310A997765533211001 ⮌
		5,135,982×	2 nodes	⮎ AAAAA9876543220A988765432100001 → AAAAA9876654320A987654432100001 ⮌
		4,527,143×	(fixed) 1 node	⮎ AAAA98766543220A988765443210001 ⮌
		4,341,929×	2 nodes	⮎ AAAA98754322220A988887653210001 → AAAA98766665430A976544443210001 ⮌
		4,292,838×	2 nodes	⮎ AA988876544430AAA97666543222101 → AA9987755433210A998776553321101 ⮌
		2,665,413×	2 nodes	⮎ AAAAA9875432220A988876532100001 → AAAAA9876665430A976544432100001 ⮌
		1,509,125×	2 nodes	⮎ AAAAAA987543220A988765321000001 → AAAAAA987665430A976544321000001 ⮌
		1,075,024×	(fixed) 1 node	⮎ AAAAAA987654320A987654321000001 ⮌
		525,441×	2 nodes	⮎ AAAAAAA98754320A987653210000001 → AAAAAAA98765430A976543210000001 ⮌
		44,932×	(fixed) 1 node	⮎ AAAAAAAA9875430A976532100000001 ⮌
32	12 cycles	700,436,362×	(fixed) 1 node	⮎ A99887755443310AA997766553322111 ⮌
		547,149,441×	14 nodes	⮎ 888776665442AAAAAAAA766544433223 → 88877766444220AAAA98866644333223 → A8887555543331AAAA87776555532221 → 99888555532220AAAA98887555522212 → A9887776653331AAAA87775443332211 → 999886555443321AA887766555422112 → 99877665533210AAAA99877554433212 → A9987766553322109988775544332111 → A8888666444421AAAA88666644422221 → 99888664444221AAAA88866664422212 → 99887766444421AAAA88666644332212 → 99887755443321AAAA88776655332212 → 99887755553322109988775555332212 → 988766664443AAAAAAAA666644443222 ⮌
		221,518,565×	(max) 15 nodes	⮎ 98887544432221AAAA88887666532222 → 988876665544320AA987665544432222 → A87766553322210AA998887755443321 → A99776655443310AA997766554433111 → A99886644332210AA998877664422111 → A99887766553321AA887755443322111 → 999876655443310AA997766554432112 → A98877654332210AA998877654332211 → A9987766554433109977665544332111 → A8888644442221AAAA88886666422221 → 99888666644441AAAA86666444422212 → 99887744442221AAAA88886666332212 → 99887766554432AAAA77665544332212 → 98887655333311109999777755432222 → 98887666444441AAAA86666644432222 ⮌
		341,478×	2 nodes	⮎ 76666643222222218888888876444444 → 76666666432222218888887644444444 ⮌
		333,970×	2 nodes	⮎ 76643222222222218888888888876444 → 76666666666432218887644444444444 ⮌
		324,830×	2 nodes	⮎ 76664322222222218888888888764444 → 76666666664322218888764444444444 ⮌
		323,970×	2 nodes	⮎ 76666432222222218888888887644444 → 76666666643222218888876444444444 ⮌
		260,736×	2 nodes	⮎ 76432222222222218888888888887644 → 76666666666643218876444444444444 ⮌
		210,400×	(fixed) 1 node	⮎ AAAA99877554320AA987655332110001 ⮌
		195,135×	2 nodes	⮎ 74322222222222218888888888888764 → 76666666666664318764444444444444 ⮌
		178,104×	4 nodes	⮎ 53222222222222218888888888888876 → 76666666666666409644444444444444 → 93222222222222218888888888888872 → 86666666666666636444444444444443 ⮌
		169,971×	(fixed) 1 node	⮎ 76666664322222218888888764444444 ⮌
33+	-	-	-	Not showing digit sets 33+ due to verbosity.