What are the numbers divisible by 422?

422, 844, 1266, 1688, 2110, 2532, 2954, 3376, 3798, 4220, 4642, 5064, 5486, 5908, 6330, 6752, 7174, 7596, 8018, 8440, 8862, 9284, 9706, 10128, 10550, 10972, 11394, 11816, 12238, 12660, 13082, 13504, 13926, 14348, 14770, 15192, 15614, 16036, 16458, 16880, 17302, 17724, 18146, 18568, 18990, 19412, 19834, 20256, 20678, 21100, 21522, 21944, 22366, 22788, 23210, 23632, 24054, 24476, 24898, 25320, 25742, 26164, 26586, 27008, 27430, 27852, 28274, 28696, 29118, 29540, 29962, 30384, 30806, 31228, 31650, 32072, 32494, 32916, 33338, 33760, 34182, 34604, 35026, 35448, 35870, 36292, 36714, 37136, 37558, 37980, 38402, 38824, 39246, 39668, 40090, 40512, 40934, 41356, 41778, 42200, 42622, 43044, 43466, 43888, 44310, 44732, 45154, 45576, 45998, 46420, 46842, 47264, 47686, 48108, 48530, 48952, 49374, 49796, 50218, 50640, 51062, 51484, 51906, 52328, 52750, 53172, 53594, 54016, 54438, 54860, 55282, 55704, 56126, 56548, 56970, 57392, 57814, 58236, 58658, 59080, 59502, 59924, 60346, 60768, 61190, 61612, 62034, 62456, 62878, 63300, 63722, 64144, 64566, 64988, 65410, 65832, 66254, 66676, 67098, 67520, 67942, 68364, 68786, 69208, 69630, 70052, 70474, 70896, 71318, 71740, 72162, 72584, 73006, 73428, 73850, 74272, 74694, 75116, 75538, 75960, 76382, 76804, 77226, 77648, 78070, 78492, 78914, 79336, 79758, 80180, 80602, 81024, 81446, 81868, 82290, 82712, 83134, 83556, 83978, 84400, 84822, 85244, 85666, 86088, 86510, 86932, 87354, 87776, 88198, 88620, 89042, 89464, 89886, 90308, 90730, 91152, 91574, 91996, 92418, 92840, 93262, 93684, 94106, 94528, 94950, 95372, 95794, 96216, 96638, 97060, 97482, 97904, 98326, 98748, 99170, 99592

There is a total of 236 numbers (up to 100000) that are divisible by 422.
The sum of these numbers is 11801652.
The arithmetic mean of these numbers is 50007.

How to find the numbers divisible by 422?

Finding all the numbers that can be divided by 422 is essentially the same as searching for the multiples of 422: if a number N is a multiple of 422, then 422 is a divisor of N.

Indeed, if we assume that N is a multiple of 422, this means there exists an integer k such that:

$k \times 422 = N$

Conversely, the result of N divided by 422 is this same integer k (without any remainder):

$k = \frac{N}{422}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 422 (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 422 less than 100000):

1 × 422 = 422
2 × 422 = 844
3 × 422 = 1266
...
235 × 422 = 99170
236 × 422 = 99592