What are the numbers divisible by 122?
122, 244, 366, 488, 610, 732, 854, 976, 1098, 1220, 1342, 1464, 1586, 1708, 1830, 1952, 2074, 2196, 2318, 2440, 2562, 2684, 2806, 2928, 3050, 3172, 3294, 3416, 3538, 3660, 3782, 3904, 4026, 4148, 4270, 4392, 4514, 4636, 4758, 4880, 5002, 5124, 5246, 5368, 5490, 5612, 5734, 5856, 5978, 6100, 6222, 6344, 6466, 6588, 6710, 6832, 6954, 7076, 7198, 7320, 7442, 7564, 7686, 7808, 7930, 8052, 8174, 8296, 8418, 8540, 8662, 8784, 8906, 9028, 9150, 9272, 9394, 9516, 9638, 9760, 9882, 10004, 10126, 10248, 10370, 10492, 10614, 10736, 10858, 10980, 11102, 11224, 11346, 11468, 11590, 11712, 11834, 11956, 12078, 12200, 12322, 12444, 12566, 12688, 12810, 12932, 13054, 13176, 13298, 13420, 13542, 13664, 13786, 13908, 14030, 14152, 14274, 14396, 14518, 14640, 14762, 14884, 15006, 15128, 15250, 15372, 15494, 15616, 15738, 15860, 15982, 16104, 16226, 16348, 16470, 16592, 16714, 16836, 16958, 17080, 17202, 17324, 17446, 17568, 17690, 17812, 17934, 18056, 18178, 18300, 18422, 18544, 18666, 18788, 18910, 19032, 19154, 19276, 19398, 19520, 19642, 19764, 19886, 20008, 20130, 20252, 20374, 20496, 20618, 20740, 20862, 20984, 21106, 21228, 21350, 21472, 21594, 21716, 21838, 21960, 22082, 22204, 22326, 22448, 22570, 22692, 22814, 22936, 23058, 23180, 23302, 23424, 23546, 23668, 23790, 23912, 24034, 24156, 24278, 24400, 24522, 24644, 24766, 24888, 25010, 25132, 25254, 25376, 25498, 25620, 25742, 25864, 25986, 26108, 26230, 26352, 26474, 26596, 26718, 26840, 26962, 27084, 27206, 27328, 27450, 27572, 27694, 27816, 27938, 28060, 28182, 28304, 28426, 28548, 28670, 28792, 28914, 29036, 29158, 29280, 29402, 29524, 29646, 29768, 29890, 30012, 30134, 30256, 30378, 30500, 30622, 30744, 30866, 30988, 31110, 31232, 31354, 31476, 31598, 31720, 31842, 31964, 32086, 32208, 32330, 32452, 32574, 32696, 32818, 32940, 33062, 33184, 33306, 33428, 33550, 33672, 33794, 33916, 34038, 34160, 34282, 34404, 34526, 34648, 34770, 34892, 35014, 35136, 35258, 35380, 35502, 35624, 35746, 35868, 35990, 36112, 36234, 36356, 36478, 36600, 36722, 36844, 36966, 37088, 37210, 37332, 37454, 37576, 37698, 37820, 37942, 38064, 38186, 38308, 38430, 38552, 38674, 38796, 38918, 39040, 39162, 39284, 39406, 39528, 39650, 39772, 39894, 40016, 40138, 40260, 40382, 40504, 40626, 40748, 40870, 40992, 41114, 41236, 41358, 41480, 41602, 41724, 41846, 41968, 42090, 42212, 42334, 42456, 42578, 42700, 42822, 42944, 43066, 43188, 43310, 43432, 43554, 43676, 43798, 43920, 44042, 44164, 44286, 44408, 44530, 44652, 44774, 44896, 45018, 45140, 45262, 45384, 45506, 45628, 45750, 45872, 45994, 46116, 46238, 46360, 46482, 46604, 46726, 46848, 46970, 47092, 47214, 47336, 47458, 47580, 47702, 47824, 47946, 48068, 48190, 48312, 48434, 48556, 48678, 48800, 48922, 49044, 49166, 49288, 49410, 49532, 49654, 49776, 49898, 50020, 50142, 50264, 50386, 50508, 50630, 50752, 50874, 50996, 51118, 51240, 51362, 51484, 51606, 51728, 51850, 51972, 52094, 52216, 52338, 52460, 52582, 52704, 52826, 52948, 53070, 53192, 53314, 53436, 53558, 53680, 53802, 53924, 54046, 54168, 54290, 54412, 54534, 54656, 54778, 54900, 55022, 55144, 55266, 55388, 55510, 55632, 55754, 55876, 55998, 56120, 56242, 56364, 56486, 56608, 56730, 56852, 56974, 57096, 57218, 57340, 57462, 57584, 57706, 57828, 57950, 58072, 58194, 58316, 58438, 58560, 58682, 58804, 58926, 59048, 59170, 59292, 59414, 59536, 59658, 59780, 59902, 60024, 60146, 60268, 60390, 60512, 60634, 60756, 60878, 61000, 61122, 61244, 61366, 61488, 61610, 61732, 61854, 61976, 62098, 62220, 62342, 62464, 62586, 62708, 62830, 62952, 63074, 63196, 63318, 63440, 63562, 63684, 63806, 63928, 64050, 64172, 64294, 64416, 64538, 64660, 64782, 64904, 65026, 65148, 65270, 65392, 65514, 65636, 65758, 65880, 66002, 66124, 66246, 66368, 66490, 66612, 66734, 66856, 66978, 67100, 67222, 67344, 67466, 67588, 67710, 67832, 67954, 68076, 68198, 68320, 68442, 68564, 68686, 68808, 68930, 69052, 69174, 69296, 69418, 69540, 69662, 69784, 69906, 70028, 70150, 70272, 70394, 70516, 70638, 70760, 70882, 71004, 71126, 71248, 71370, 71492, 71614, 71736, 71858, 71980, 72102, 72224, 72346, 72468, 72590, 72712, 72834, 72956, 73078, 73200, 73322, 73444, 73566, 73688, 73810, 73932, 74054, 74176, 74298, 74420, 74542, 74664, 74786, 74908, 75030, 75152, 75274, 75396, 75518, 75640, 75762, 75884, 76006, 76128, 76250, 76372, 76494, 76616, 76738, 76860, 76982, 77104, 77226, 77348, 77470, 77592, 77714, 77836, 77958, 78080, 78202, 78324, 78446, 78568, 78690, 78812, 78934, 79056, 79178, 79300, 79422, 79544, 79666, 79788, 79910, 80032, 80154, 80276, 80398, 80520, 80642, 80764, 80886, 81008, 81130, 81252, 81374, 81496, 81618, 81740, 81862, 81984, 82106, 82228, 82350, 82472, 82594, 82716, 82838, 82960, 83082, 83204, 83326, 83448, 83570, 83692, 83814, 83936, 84058, 84180, 84302, 84424, 84546, 84668, 84790, 84912, 85034, 85156, 85278, 85400, 85522, 85644, 85766, 85888, 86010, 86132, 86254, 86376, 86498, 86620, 86742, 86864, 86986, 87108, 87230, 87352, 87474, 87596, 87718, 87840, 87962, 88084, 88206, 88328, 88450, 88572, 88694, 88816, 88938, 89060, 89182, 89304, 89426, 89548, 89670, 89792, 89914, 90036, 90158, 90280, 90402, 90524, 90646, 90768, 90890, 91012, 91134, 91256, 91378, 91500, 91622, 91744, 91866, 91988, 92110, 92232, 92354, 92476, 92598, 92720, 92842, 92964, 93086, 93208, 93330, 93452, 93574, 93696, 93818, 93940, 94062, 94184, 94306, 94428, 94550, 94672, 94794, 94916, 95038, 95160, 95282, 95404, 95526, 95648, 95770, 95892, 96014, 96136, 96258, 96380, 96502, 96624, 96746, 96868, 96990, 97112, 97234, 97356, 97478, 97600, 97722, 97844, 97966, 98088, 98210, 98332, 98454, 98576, 98698, 98820, 98942, 99064, 99186, 99308, 99430, 99552, 99674, 99796, 99918
- There is a total of 819 numbers (up to 100000) that are divisible by 122.
- The sum of these numbers is 40966380.
- The arithmetic mean of these numbers is 50020.
How to find the numbers divisible by 122?
Finding all the numbers that can be divided by 122 is essentially the same as searching for the multiples of 122: if a number N is a multiple of 122, then 122 is a divisor of N.
Indeed, if we assume that N is a multiple of 122, this means there exists an integer k such that:
Conversely, the result of N divided by 122 is this same integer k (without any remainder):
From this we can see that, theoretically, there's an infinite quantity of multiples of 122 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).
However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 122 less than 100000):
- 1 × 122 = 122
- 2 × 122 = 244
- 3 × 122 = 366
- ...
- 818 × 122 = 99796
- 819 × 122 = 99918