What are the numbers divisible by 538?

538, 1076, 1614, 2152, 2690, 3228, 3766, 4304, 4842, 5380, 5918, 6456, 6994, 7532, 8070, 8608, 9146, 9684, 10222, 10760, 11298, 11836, 12374, 12912, 13450, 13988, 14526, 15064, 15602, 16140, 16678, 17216, 17754, 18292, 18830, 19368, 19906, 20444, 20982, 21520, 22058, 22596, 23134, 23672, 24210, 24748, 25286, 25824, 26362, 26900, 27438, 27976, 28514, 29052, 29590, 30128, 30666, 31204, 31742, 32280, 32818, 33356, 33894, 34432, 34970, 35508, 36046, 36584, 37122, 37660, 38198, 38736, 39274, 39812, 40350, 40888, 41426, 41964, 42502, 43040, 43578, 44116, 44654, 45192, 45730, 46268, 46806, 47344, 47882, 48420, 48958, 49496, 50034, 50572, 51110, 51648, 52186, 52724, 53262, 53800, 54338, 54876, 55414, 55952, 56490, 57028, 57566, 58104, 58642, 59180, 59718, 60256, 60794, 61332, 61870, 62408, 62946, 63484, 64022, 64560, 65098, 65636, 66174, 66712, 67250, 67788, 68326, 68864, 69402, 69940, 70478, 71016, 71554, 72092, 72630, 73168, 73706, 74244, 74782, 75320, 75858, 76396, 76934, 77472, 78010, 78548, 79086, 79624, 80162, 80700, 81238, 81776, 82314, 82852, 83390, 83928, 84466, 85004, 85542, 86080, 86618, 87156, 87694, 88232, 88770, 89308, 89846, 90384, 90922, 91460, 91998, 92536, 93074, 93612, 94150, 94688, 95226, 95764, 96302, 96840, 97378, 97916, 98454, 98992, 99530

There is a total of 185 numbers (up to 100000) that are divisible by 538.
The sum of these numbers is 9256290.
The arithmetic mean of these numbers is 50034.

How to find the numbers divisible by 538?

Finding all the numbers that can be divided by 538 is essentially the same as searching for the multiples of 538: if a number N is a multiple of 538, then 538 is a divisor of N.

Indeed, if we assume that N is a multiple of 538, this means there exists an integer k such that:

$k \times 538 = N$

Conversely, the result of N divided by 538 is this same integer k (without any remainder):

$k = \frac{N}{538}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 538 (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 538 less than 100000):

1 × 538 = 538
2 × 538 = 1076
3 × 538 = 1614
...
184 × 538 = 98992
185 × 538 = 99530