# Seeds < 10^7 that take more than 10^9 steps to reach 0. # Three items on each line: # - The number of steps needed to reach 0. Underscore is # used to separate digits into groups of 3 from the right # (this is acceptable integer literal syntax in Python). # - The number of seeds < 10^7 requiring that many steps. # - List of all seeds < 10^7 requiring that many steps. # CAUTION: results for seeds over a million have not been # confirmed. # CAUTION: results that take over 100 billion steps have # not been confirmed. # MISSING VALUES: 10 values under 10^7 remain to be resolved. # They all take at least 2 trillion steps to reach 0 (if ever). # They're all in one group: # [3417582, 3709944, 4140486, 4188324, 4196297, # 4212243, 4355757, 4453211, 5647383, 6524469] # After about 2.2 trillion steps, these reach the same high value, # with 7_829_076 bits. 1_029_700_506 1 [6607398] 1_029_700_507 1 [3389939] 1_029_700_509 1 [5969065] 1_029_700_510 1 [9195122] 1_106_275_892 1 [6838556] 1_106_275_897 1 [5771389] 1_106_275_898 1 [9261014] 1_149_592_381 1 [6491813] 1_153_492_720 1 [6571744] 1_153_492_721 1 [8994229] 1_153_492_722 1 [8186734] 1_153_492_723 1 [8455899] 1_153_492_726 1 [5900602] 1_153_492_727 1 [9217943] 1_184_026_713 1 [5717197] 1_184_026_714 1 [9279078] 1_212_877_571 1 [6770139] 1_212_877_572 1 [3335692] 1_212_877_573 1 [1684305] 1_212_877_574 2 [836666, 5030970] 1_212_877_575 1 [3915415] 1_212_877_576 2 [1491064, 9879672] 1_212_877_577 1 [2299181] 1_212_877_578 1 [7622214] 1_212_877_579 1 [3051667] 1_212_877_580 1 [1778980] 1_212_877_581 1 [2203209] 1_212_877_582 1 [4858002] 1_212_877_583 1 [3973071] 1_212_877_584 1 [4268048] 1_212_877_614 1 [6552562] 1_212_877_615 1 [9000623] 1_212_877_647 1 [6839695] 1_212_877_648 1 [8904912] 1_212_877_707 1 [6939667] 1_212_877_708 1 [8871588] 1_212_878_141 1 [7040793] 1_212_878_142 1 [3245474] 1_212_878_184 1 [6902680] 1_212_878_185 1 [8883917] 1_212_878_216 1 [6797304] 1_212_878_217 1 [3326637] 1_212_878_218 1 [4483526] 1_246_707_484 1 [6625680] 1_246_707_485 1 [3383845] 1_246_707_486 1 [1668254] 1_246_707_487 1 [7832523] 1_246_707_488 1 [2981564] 1_246_707_490 1 [5923690] 1_246_707_491 1 [9210247] 1_246_707_492 1 [8114728] 1_246_707_493 1 [8479901] 1_246_707_521 1 [5666721] 1_246_707_522 1 [3703498] 1_246_707_523 2 [1561703, 9950311] 1_246_707_524 1 [7868040] 1_246_707_525 1 [2969725] 1_246_707_526 1 [1806294] 1_246_707_527 2 [796003, 4990307] 1_246_707_528 3 [433716, 2530868, 6725172] 1_246_707_529 5 [204953, 1253529, 3350681, 5447833, 7544985] 1_246_707_530 4 [980258, 3077410, 5174562, 9368866] 1_246_707_531 4 [1770399, 3867551, 5964703, 8061855] 1_246_707_532 4 [807968, 2905120, 5002272, 9196576] 1_246_707_533 4 [1827829, 3924981, 6022133, 8119285] 1_246_707_534 3 [2186926, 4284078, 8478382] 1_246_707_535 3 [2067227, 4164379, 8358683] 1_246_707_536 4 [1408076, 5602380, 7699532, 9796684] 1_246_707_537 3 [3724945, 5822097, 7919249] 1_246_707_538 3 [1554554, 3651706, 9943162] 1_246_707_539 3 [1578967, 7870423, 9967575] 1_246_707_540 2 [2269880, 8561336] 1_246_707_541 1 [7631981] 1_246_707_542 1 [5844614] 1_246_707_543 1 [6440403] 1_246_707_544 1 [3445604] 1_246_707_545 1 [7240073] 1_246_707_546 1 [5975250] 1_246_707_547 2 [3600655, 5697807] 1_246_707_548 3 [1595984, 3693136, 9984592] 1_246_707_549 3 [1565157, 7856613, 9953765] 1_246_707_550 3 [876382, 2973534, 5070686] 1_246_707_551 3 [406923, 2504075, 4601227] 1_246_707_552 5 [213884, 1262460, 5456764, 7553916, 9651068] 1_246_707_553 4 [977281, 3074433, 5171585, 9365889] 1_246_707_554 4 [373290, 2470442, 4567594, 6664746] 1_246_707_555 6 [225095, 1273671, 3370823, 5467975, 7565127, 9662279] 1_246_707_556 5 [973544, 3070696, 5167848, 7265000, 9362152] 1_246_707_557 4 [1772637, 3869789, 5966941, 8064093] 1_246_707_558 5 [807222, 2904374, 5001526, 7098678, 9195830] 1_246_707_559 4 [1129027, 3226179, 5323331, 9517635] 1_246_707_560 2 [2419860, 4517012] 1_246_707_561 1 [4785785] 1_246_707_563 1 [6124159] 1_246_707_564 1 [9143424] 1_246_707_568 1 [6352556] 1_246_707_569 1 [6271089] 1_246_707_570 1 [3502042] 1_246_707_571 1 [1628855] 1_246_707_572 1 [7845656] 1_246_707_573 1 [5773389] 1_246_707_574 1 [3667942] 1_246_707_575 2 [1573555, 9962163] 1_246_707_576 1 [2271684] 1_246_707_577 2 [4835177, 6932329] 1_246_707_578 2 [6776882, 8874034] 1_246_707_579 2 [6129647, 8226799] 1_246_707_580 2 [6345392, 8442544] 1_246_707_581 1 [8370629] 1_246_707_584 1 [6913500] 1_246_707_585 1 [3287905] 1_246_707_586 1 [1700234] 1_246_707_587 1 [7821863] 1_246_707_589 1 [6461501] 1_246_707_598 1 [5732718] 1_246_707_599 1 [3681499] 1_246_707_600 2 [1569036, 9957644] 1_246_707_601 2 [875089, 5069393] 1_246_707_602 3 [407354, 2504506, 6698810] 1_246_707_603 2 [1961367, 6155671] 1_246_707_604 3 [744312, 4938616, 9132920] 1_246_707_605 3 [1149997, 5344301, 9538605] 1_246_707_606 1 [2412870] 1_246_707_607 1 [4788115] 1_246_707_608 1 [9588772] 1_246_707_609 1 [7988553] 1_246_707_610 1 [2929554] 1_246_707_611 1 [4615887] 1_246_707_612 1 [4053776] 1_246_707_617 1 [5782849] 1_246_707_618 1 [9257194] 1_246_707_619 1 [8099079] 1_246_707_620 1 [2892712] 1_246_707_621 1 [1831965] 1_246_707_622 2 [787446, 4981750] 1_246_707_623 3 [1135619, 5329923, 9524227] 1_246_707_624 2 [3815764, 8010068] 1_246_707_625 2 [1524281, 9912889] 1_246_707_626 1 [7880514] 1_246_707_627 2 [2965567, 7159871] 1_246_707_628 1 [1807680] 1_246_707_629 2 [795541, 4989845] 1_246_707_630 3 [433870, 2531022, 6725326] 1_246_707_631 4 [554427, 2651579, 4748731, 8943035] 1_246_707_632 4 [1213292, 5407596, 7504748, 9601900] 1_246_707_633 2 [3789873, 7984177] 1_246_707_634 2 [4329114, 8523418] 1_246_707_635 2 [4149367, 8343671] 1_246_707_636 3 [1413080, 5607384, 9801688] 1_246_707_637 2 [3723277, 7917581] 1_246_707_638 2 [1555110, 9943718] 1_246_707_639 2 [879731, 5074035] 1_246_707_640 1 [3901060] 1_246_707_641 3 [1495849, 5690153, 9884457] 1_246_707_642 1 [2297586] 1_246_707_643 1 [4826543] 1_246_707_644 1 [6779760] 1_246_707_645 1 [3332485] 1_246_707_646 1 [1685374] 1_246_707_647 2 [2234411, 6428715] 1_246_707_648 2 [3449500, 7643804] 1_246_707_649 2 [1646369, 5840673] 1_246_707_650 2 [3645514, 7839818] 1_246_707_651 2 [1581031, 9969639] 1_246_707_652 2 [2269192, 6463496] 1_246_707_653 1 [2039805] 1_246_707_654 2 [718166, 4912470] 1_246_707_655 1 [3954915] 1_246_707_656 2 [4274100, 6371252] 1_246_707_657 1 [4167705] 1_246_707_658 1 [4203170] 1_246_707_660 1 [6059424] 1_246_707_661 1 [3572597] 1_246_707_666 1 [6354426] 1_246_707_667 1 [3474263] 1_246_707_675 1 [6237327] 1_246_707_676 1 [3513296] 1_246_707_724 1 [6809184] 1_246_707_725 1 [3322677] 1_246_707_726 1 [4484846] 1_246_707_740 1 [6266000] 1_246_707_982 1 [6380014] 1_246_707_983 1 [9058139] 1_246_708_429 1 [5718133] 1_246_708_430 1 [9278766] 1_246_708_439 1 [5705299] 1_246_708_440 1 [9283044] 1_246_708_443 1 [5869967] 1_246_708_446 1 [7239134] 1_246_708_822 1 [6382982] 1_246_710_789 1 [6708157] 1_246_710_790 1 [8948758] 1_246_710_791 1 [8201891] 1_246_719_407 1 [6993851] 1_246_719_414 1 [6993062] 1_246_825_564 1 [6504784] 1_246_825_565 1 [9016549] 1_246_825_566 1 [8179294] 1_246_825_567 1 [8458379] 1_257_803_799 1 [6807059] 1_257_803_811 1 [6802311] 1_257_803_812 1 [3324968] 1_257_803_814 1 [5961846] 1_257_803_815 1 [3605123] 1_257_803_823 1 [6329403] 1_257_803_824 1 [3482604] 1_257_803_825 1 [4431537] 1_257_803_826 1 [4115226] 1_257_803_827 1 [4220663] 1_276_816_057 1 [5667881] 1_318_331_759 1 [7382779] 1_318_331_760 1 [8723884] 1_318_331_761 1 [8276849] 1_416_398_108 1 [6676880] 1_416_398_122 1 [5790146] 1_416_398_153 1 [6817945] 1_416_398_154 1 [8912162] 1_416_398_162 1 [6537338] 1_523_515_596 1 [7020692] 1_673_840_415 1 [7018111] 1_673_840_416 1 [8845440] 1_703_710_038 1 [6673030] 1_703_710_039 1 [8960467] 1_703_710_040 1 [8197988] 1_703_710_043 1 [7152911] 1_768_668_563 1 [7386263] 1_768_668_571 1 [6936015] 1_768_668_572 1 [3280400] 1_768_668_574 1 [5956894] 1_768_668_575 1 [9199179] 1_838_032_913 1 [5791345] 1_838_032_914 1 [9254362] 1_838_032_915 1 [8100023] 1_852_327_237 1 [6987009] 1_852_327_238 1 [3263402] 1_852_327_242 1 [5632694] 1_852_327_256 1 [6587544] 1_852_327_257 1 [3396557] 1_852_327_302 1 [6675050] 2_070_477_983 1 [6754495] 2_070_477_984 1 [8933312] 2_148_015_484 1 [6283696] 2_148_015_485 1 [9090245] 2_562_605_785 1 [5778185] 2_824_692_766 1 [6342430] 2_824_692_767 1 [9070667] 2_824_692_771 1 [6325767] 2_824_692_772 1 [3483816] 2_824_692_773 1 [4431133] 2_824_692_774 1 [9707766] 2_890_292_228 1 [5715260] 3_009_912_169 1 [6613113] 3_009_912_170 1 [3388034] 3_011_979_614 1 [6705922] 3_011_979_615 1 [8949503] 3_063_778_364 1 [5664980] 3_345_833_794 1 [6820686] 3_345_833_795 1 [3318843] 3_345_833_796 1 [4486124] 3_354_414_377 1 [7325197] 3_354_414_378 1 [8743078] 3_354_414_379 1 [8270451] 3_354_414_380 1 [2835588] 3_354_414_381 1 [4647209] 3_354_414_392 1 [6569480] 3_379_100_390 1 [6640778] 3_774_036_872 1 [5696296] 3_774_036_873 1 [9286045] 3_774_036_874 1 [8089462] 3_774_036_875 1 [8488323] 3_802_262_093 1 [6774473] 4_008_714_750 1 [6924478] 4_008_714_751 1 [8876651] 4_327_766_127 1 [6617551] 4_327_766_128 1 [8978960] 4_327_838_114 1 [6698542] 4_327_838_115 1 [8951963] 4_327_838_118 1 [7124986] 4_327_838_119 1 [8809815] 4_327_838_122 1 [5887494] 4_327_838_123 1 [3629907] 4_327_838_124 1 [4382436] 4_327_838_125 1 [4131593] 4_327_838_127 1 [6051471] 4_327_838_128 1 [3575248] 4_327_838_129 2 [1604453, 9993061] 4_327_838_130 1 [7853790] 4_327_838_131 1 [2974475] 4_327_838_135 1 [5629127] 4_327_838_138 1 [7248054] 4_327_838_139 1 [3176387] 4_327_838_141 1 [5945337] 4_327_838_142 1 [3610626] 4_327_838_143 1 [4388863] 4_327_838_144 1 [9721856] 4_327_838_167 1 [6950823] 4_327_838_168 1 [3275464] 4_327_838_169 1 [1704381] 4_327_838_170 2 [829974, 5024278] 4_327_838_171 3 [1121443, 5315747, 9510051] 4_327_838_172 1 [2422388] 4_327_838_173 1 [7581145] 4_327_838_174 1 [8657762] 4_327_838_180 1 [6777996] 4_327_838_181 1 [3333073] 4_327_838_182 1 [1685178] 4_327_838_183 2 [836375, 5030679] 4_327_838_184 1 [3915512] 4_327_838_185 1 [7083437] 4_327_838_186 1 [6027462] 4_327_838_187 1 [3583251] 4_327_838_188 1 [4397988] 4_327_838_189 1 [4126409] 4_327_838_191 1 [6050895] 4_327_838_192 1 [3575440] 4_327_838_193 2 [1604389, 9992997] 4_327_838_194 1 [2261406] 4_327_838_195 1 [4838603] 4_327_838_200 1 [7022376] 4_327_838_201 1 [3251613] 4_327_838_202 1 [4508534] 4_327_838_206 1 [5648066] 4_327_838_207 1 [6505919] 4_327_838_217 1 [6396301] 4_327_838_218 1 [9052710] 4_662_891_201 1 [6587877] 4_662_891_202 1 [3396446] 4_662_891_204 1 [5969788] 4_662_891_205 1 [9194881] 4_662_891_206 1 [8119850] 4_662_891_209 1 [7155805] 4_662_891_210 1 [8799542] 5_501_634_866 1 [6808122] 5_501_634_867 1 [3323031] 5_501_634_868 1 [4484728] 5_501_634_869 1 [9689901] 5_556_265_930 1 [5745826] 5_556_265_931 1 [9269535] 5_556_265_941 1 [6252013] 5_556_265_942 1 [9100806] 5_642_309_080 1 [6808584] 5_642_309_081 1 [3322877] 5_642_309_085 1 [6876185] 6_051_100_946 1 [6853850] 6_485_195_488 1 [6638688] 6_485_195_489 1 [3379509] 6_485_195_490 1 [4465902] 6_485_195_491 1 [4103771] 6_601_639_076 1 [6647692] 6_601_639_077 1 [8968913] 8_327_906_760 1 [6628788] 8_327_906_761 1 [3382809] 8_327_906_762 1 [4464802] 8_327_906_763 1 [9696543] 9_558_397_317 1 [7372861] 9_558_397_318 1 [8727190] 9_558_397_319 1 [8275747] 9_558_397_320 1 [8426228] 9_558_397_332 1 [5743480] 9_558_397_333 1 [9270317] 10_249_478_712 1 [5715656] 10_651_066_129 1 [6939601] 10_651_066_130 1 [8871610] 10_651_066_131 1 [8227607] 10_651_066_134 1 [7151814] 10_651_066_135 1 [3208467] 10_651_066_136 1 [4522916] 10_651_066_145 1 [7333569] 10_651_066_146 1 [3147882] 10_651_066_147 1 [4543111] 10_651_066_148 1 [9670440] 10_651_066_151 1 [5855619] 10_651_066_152 1 [3640532] 10_651_066_213 1 [6344029] 10_651_066_214 1 [9070134] 10_747_328_813 1 [6580105] 10_747_328_814 1 [8991442] 10_747_328_815 1 [8187663] 10_747_328_816 1 [2863184] 12_444_973_193 1 [6848269] 12_444_973_194 1 [8902054] 12_444_973_195 1 [8217459] 12_444_973_196 1 [2853252] 12_444_973_197 1 [4641321] 12_444_973_198 1 [4045298] 15_789_731_665 1 [6438757] 15_789_731_666 1 [9038558] 15_789_731_693 1 [7445737] 15_789_731_694 1 [8702898] 15_983_178_263 1 [6744723] 15_983_178_264 1 [3344164] 15_983_178_265 1 [1681481] 15_983_178_266 1 [7828114] 15_983_178_267 1 [8575439] 15_983_178_274 1 [5611498] 15_983_178_275 1 [9314311] 15_983_178_276 1 [8080040] 15_983_178_281 1 [7423289] 18_662_076_248 1 [6244904] 18_662_076_253 1 [7430841] 18_662_076_254 1 [3115458] 18_662_076_255 1 [4553919] 18_662_076_256 1 [4074432] 18_662_076_257 1 [4234261] 18_662_076_258 1 [9773390] 19_438_336_308 1 [6769276] 19_438_336_309 1 [8928385] 19_438_336_310 1 [8208682] 19_438_336_311 1 [8448583] 19_438_336_312 1 [8368616] 19_674_704_707 1 [6490855] 19_674_704_708 1 [9021192] 20_380_373_503 1 [7011563] 20_380_373_766 1 [5716502] 20_380_373_771 1 [6604511] 24_263_905_220 1 [6703372] 24_263_905_221 1 [8950353] 24_263_905_276 1 [6721460] 25_996_066_234 1 [6791558] 25_996_066_237 1 [7205001] 25_996_066_238 1 [3190738] 25_996_066_239 1 [1732623] 25_996_066_240 2 [820560, 5014864] 25_996_066_241 3 [1124581, 5318885, 9513189] 25_996_066_242 1 [2421342] 25_996_066_243 1 [4785291] 25_996_066_244 1 [3997308] 25_996_066_245 1 [4259969] 25_996_066_247 1 [6065735] 25_996_066_248 1 [6366696] 25_996_066_249 1 [3470173] 25_996_066_250 1 [1639478] 25_996_066_251 1 [7842115] 25_996_066_252 1 [8570772] 25_996_066_255 1 [6828415] 25_996_066_256 1 [8908672] 25_996_066_257 1 [8215253] 25_996_066_259 1 [6505211] 25_996_066_277 1 [6734433] 25_996_066_278 1 [3347594] 25_996_066_280 1 [5964360] 25_996_066_281 1 [3604285] 25_996_066_282 2 [1594774, 9983382] 25_996_066_283 1 [2264611] 25_996_066_284 1 [2041332] 25_996_066_285 2 [717657, 4911961] 25_996_066_286 3 [1158882, 5353186, 9547490] 25_996_066_287 3 [1011807, 5206111, 9400415] 25_996_066_288 3 [1060832, 5255136, 9449440] 25_996_066_289 2 [3840693, 8034997] 25_996_066_290 2 [4312174, 8506478] 25_996_066_291 1 [9747419] 25_996_067_628 1 [5607860] 27_967_273_832 1 [5669320] 27_967_273_833 1 [9295037] 27_967_273_837 1 [6328537] 27_967_273_838 1 [9075298] 27_967_273_839 1 [8159711] 30_763_971_589 1 [5749181] 32_543_805_162 1 [6230982] 32_543_805_163 1 [3515411] 43_723_763_386 1 [6926450] 43_723_763_389 1 [7200005] 43_723_763_404 1 [5737248] 43_723_763_405 1 [3679989] 43_723_763_406 1 [4365742] 43_723_763_407 1 [9729563] 43_723_763_410 1 [7096186] 43_723_763_411 1 [8819415] 56_178_128_367 1 [6760059] 56_178_128_368 1 [3339052] 56_178_128_369 1 [1683185] 56_178_128_370 1 [7827546] 56_178_128_371 1 [2983223] 56_178_128_375 1 [5629235] 56_178_128_378 1 [7248050] 56_178_128_385 1 [5704161] 56_178_128_386 1 [3691018] 56_178_128_387 2 [1565863, 9954471] 56_178_128_388 1 [2274248] 56_178_128_389 1 [7630525] 56_178_128_390 1 [8641302] 58_158_751_023 1 [5748335] 58_158_751_028 1 [6604380] 58_158_751_029 1 [3390945] 58_158_751_030 1 [4462090] 58_158_751_031 1 [9697447] 58_158_751_032 1 [7952328] 58_158_751_033 1 [2941629] 58_158_751_034 1 [4611862] 58_158_751_035 1 [9647523] 58_158_751_046 1 [6798266] 87_037_147_309 1 [6376757] 87_037_147_312 1 [7220364] 87_037_147_313 1 [3185617] 87_037_147_314 1 [1734330] 87_037_147_315 2 [819991, 5014295] 87_037_147_316 2 [425720, 2522872] 87_037_147_317 2 [1955245, 6149549] 87_037_147_318 1 [2144454] 87_037_147_319 1 [4877587] 87_037_147_320 1 [9558948] 87_037_147_324 1 [6901392] 87_037_147_325 1 [3291941] 127_811_921_699 1 [6525703] 127_811_921_700 1 [9009576] 127_811_922_063 1 [5707099] 127_811_922_064 1 [9282444] 128_018_188_016 1 [6771980] 128_018_188_025 1 [6658377] 128_018_188_026 1 [3372946] 128_018_188_027 1 [1671887] 128_018_188_028 1 [7831312] 128_018_188_029 1 [8574373] 128_018_188_030 1 [8326686] 128_018_188_031 1 [2816843] 128_018_188_041 1 [6944313] 128_018_188_042 1 [3277634] 225_197_172_159 1 [7011851] 225_197_172_162 1 [7196842] 225_197_172_163 1 [8785863] 918_217_008_016 1 [6264400] 918_217_008_017 1 [9096677] 3_306_609_997_544 1 [7404616] 3_306_609_997_545 1 [8716605] 3_306_609_997_899 1 [7370179] 3_306_609_997_900 1 [8728084] 3_306_609_997_901 1 [8275449] 3_306_609_997_902 1 [2833922]