11101111112 is a 10-digit number that can be expressed in various numerical systems. In the decimal system, it is written as 11,101,111,112. This number is significant in the context of the Collatz conjecture, a famous unsolved problem in mathematics. The conjecture proposes that for any positive integer n, if n is even, divide it by 2; if n is odd, multiply it by 3 and add 1. Repeating this process will eventually reach the number 1. The number 11101111112 is part of a sequence that has been studied in relation to the Collatz conjecture, as it is one of the numbers that has not been proven to reach 1 through the process described. The sequence starting with 11101111112 is as follows: 11101111112, 55505555561, 16651666689, 50055000067, 15016500021, 45049500063, 13514850019, 40544550057, 12163365017, 36490095051, 10947028517, 32841085551, 98523256673, 29557077002, 14778538501, 44335615503, 13300684651, 40802053953, 12240616186, 6120308093, 18360924289, 5508277286, 2754138643, 8262415930, 4131207965, 12393623896, 6196811948, 3098405974, 1549202987, 4647618962, 2323809481, 7001428444, 3500714222, 1750357111, 5251071334, 2625535667, 7876607001, 23629811003, 7843270334, 3921635167, 11764905502, 5882452751, 17647358254, 8823679127, 26471037381, 8823679129, 26471037387, 8823679126, 4411839563, 13235518690, 6617759345, 20053278036, 10026639018, 5013319509, 15040958528, 7520479264, 3760239632, 1880119816, 940059908, 470029954, 235014977, 705044932, 352522466, 176261233, 528783700, 264391850, 132195925, 396587776, 198293888, 99146944, 49573472, 24786736, 12393368, 6196684, 3098342, 1549171, 4647514, 2323757, 7001272, 3500636, 1750318, 5250955, 15752866, 7876433, 23629300, 11814650, 5907325, 17722076, 8861038, 4430519, 13291558, 6645779, 20037338, 10018669, 30056008, 15028004, 7514002, 3757001, 11271004, 5635502, 2817751, 8453254, 4226627, 12679882, 6339941, 19019824, 9509912, 4754956, 2377478, 1188739, 3566218, 1783109, 5349328, 2674664, 1337332, 668666, 334333, 1003000, 501500, 250750, 75225, 22567, 67702, 33851, 101554, 50777, 152332, 76166, 38083, 114230, 57115, 171346, 85673, 257020, 128510, 64255, 192766, 96383, 289150, 144575, 433726, 216863, 650590, 325295, 975886, 487943, 1463830, 731915, 2195746, 1097873, 3293620, 1646810, 823405, 2470216, 1235108, 617554, 308777, 926332, 463166, 231583, 694750, 347375, 1042126, 521063, 1563190, 781595, 2344786, 1172393, 3517180, 1758590, 879295, 2637886, 1318943, 3956830, 1978415, 5935246, 2967623, 8902870, 4451435, 13354306, 6677153, 20031460, 10015730, 5007865, 15023596, 7511798, 3755899, 11267698, 5633849, 16901548, 8450774, 4225387, 12676162, 6338081, 19014244, 9507122, 4753561, 14260684, 7130342, 3565171, 10695514, 5347757, 16043272, 8021636, 4010818, 2005409, 6016228, 3008114, 1504057, 4512172, 2256086, 1128043, 3384130, 1692065, 5076196, 2538098, 1269049, 3807148, 1903574, 951787, 2855362, 1427681, 4283044, 2141522, 1070761, 3212284, 1606142, 803071, 2409214, 1204607, 3613822, 1806911, 5417234, 2708617, 8125852, 4062926, 2031463, 6094390, 3047195, 9141586, 4570793, 13712380, 6856190, 3428095, 10284286, 5142143, 15426430, 7713215, 23139646, 11569823, 34709560, 17354780, 8677390, 4338695, 13016086, 6508043, 19524130, 9762065, 29286196, 14643098, 7321549, 21964648, 10982324, 5491162, 2745581, 8236744, 4118372, 2059186, 1029593, 3088780, 1544390, 772195, 2316586, 1158293, 3474880, 1737440, 868720, 434360, 217180, 108590, 54295, 162886, 81443, 244330, 122165, 366496, 183248, 91624, 45812, 22906, 11453, 34360, 17180, 8590, 4295, 12886, 6443, 19330, 9665, 29006, 14503, 43510, 21755, 65266, 32633, 97900, 48950, 24475, 73426, 36713, 110140, 55070, 27535, 82606, 41303, 123910, 61955, 185866, 92933, 278800, 139400, 69700, 34850, 17425, 52276, 26138, 13069, 39208, 19604, 9802, 4901, 14704, 7352, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1.