What are the numbers divisible by 424?

424, 848, 1272, 1696, 2120, 2544, 2968, 3392, 3816, 4240, 4664, 5088, 5512, 5936, 6360, 6784, 7208, 7632, 8056, 8480, 8904, 9328, 9752, 10176, 10600, 11024, 11448, 11872, 12296, 12720, 13144, 13568, 13992, 14416, 14840, 15264, 15688, 16112, 16536, 16960, 17384, 17808, 18232, 18656, 19080, 19504, 19928, 20352, 20776, 21200, 21624, 22048, 22472, 22896, 23320, 23744, 24168, 24592, 25016, 25440, 25864, 26288, 26712, 27136, 27560, 27984, 28408, 28832, 29256, 29680, 30104, 30528, 30952, 31376, 31800, 32224, 32648, 33072, 33496, 33920, 34344, 34768, 35192, 35616, 36040, 36464, 36888, 37312, 37736, 38160, 38584, 39008, 39432, 39856, 40280, 40704, 41128, 41552, 41976, 42400, 42824, 43248, 43672, 44096, 44520, 44944, 45368, 45792, 46216, 46640, 47064, 47488, 47912, 48336, 48760, 49184, 49608, 50032, 50456, 50880, 51304, 51728, 52152, 52576, 53000, 53424, 53848, 54272, 54696, 55120, 55544, 55968, 56392, 56816, 57240, 57664, 58088, 58512, 58936, 59360, 59784, 60208, 60632, 61056, 61480, 61904, 62328, 62752, 63176, 63600, 64024, 64448, 64872, 65296, 65720, 66144, 66568, 66992, 67416, 67840, 68264, 68688, 69112, 69536, 69960, 70384, 70808, 71232, 71656, 72080, 72504, 72928, 73352, 73776, 74200, 74624, 75048, 75472, 75896, 76320, 76744, 77168, 77592, 78016, 78440, 78864, 79288, 79712, 80136, 80560, 80984, 81408, 81832, 82256, 82680, 83104, 83528, 83952, 84376, 84800, 85224, 85648, 86072, 86496, 86920, 87344, 87768, 88192, 88616, 89040, 89464, 89888, 90312, 90736, 91160, 91584, 92008, 92432, 92856, 93280, 93704, 94128, 94552, 94976, 95400, 95824, 96248, 96672, 97096, 97520, 97944, 98368, 98792, 99216, 99640

There is a total of 235 numbers (up to 100000) that are divisible by 424.
The sum of these numbers is 11757520.
The arithmetic mean of these numbers is 50032.

How to find the numbers divisible by 424?

Finding all the numbers that can be divided by 424 is essentially the same as searching for the multiples of 424: if a number N is a multiple of 424, then 424 is a divisor of N.

Indeed, if we assume that N is a multiple of 424, this means there exists an integer k such that:

$k \times 424 = N$

Conversely, the result of N divided by 424 is this same integer k (without any remainder):

$k = \frac{N}{424}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 424 (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 424 less than 100000):

1 × 424 = 424
2 × 424 = 848
3 × 424 = 1272
...
234 × 424 = 99216
235 × 424 = 99640