What are the numbers divisible by 428?

428, 856, 1284, 1712, 2140, 2568, 2996, 3424, 3852, 4280, 4708, 5136, 5564, 5992, 6420, 6848, 7276, 7704, 8132, 8560, 8988, 9416, 9844, 10272, 10700, 11128, 11556, 11984, 12412, 12840, 13268, 13696, 14124, 14552, 14980, 15408, 15836, 16264, 16692, 17120, 17548, 17976, 18404, 18832, 19260, 19688, 20116, 20544, 20972, 21400, 21828, 22256, 22684, 23112, 23540, 23968, 24396, 24824, 25252, 25680, 26108, 26536, 26964, 27392, 27820, 28248, 28676, 29104, 29532, 29960, 30388, 30816, 31244, 31672, 32100, 32528, 32956, 33384, 33812, 34240, 34668, 35096, 35524, 35952, 36380, 36808, 37236, 37664, 38092, 38520, 38948, 39376, 39804, 40232, 40660, 41088, 41516, 41944, 42372, 42800, 43228, 43656, 44084, 44512, 44940, 45368, 45796, 46224, 46652, 47080, 47508, 47936, 48364, 48792, 49220, 49648, 50076, 50504, 50932, 51360, 51788, 52216, 52644, 53072, 53500, 53928, 54356, 54784, 55212, 55640, 56068, 56496, 56924, 57352, 57780, 58208, 58636, 59064, 59492, 59920, 60348, 60776, 61204, 61632, 62060, 62488, 62916, 63344, 63772, 64200, 64628, 65056, 65484, 65912, 66340, 66768, 67196, 67624, 68052, 68480, 68908, 69336, 69764, 70192, 70620, 71048, 71476, 71904, 72332, 72760, 73188, 73616, 74044, 74472, 74900, 75328, 75756, 76184, 76612, 77040, 77468, 77896, 78324, 78752, 79180, 79608, 80036, 80464, 80892, 81320, 81748, 82176, 82604, 83032, 83460, 83888, 84316, 84744, 85172, 85600, 86028, 86456, 86884, 87312, 87740, 88168, 88596, 89024, 89452, 89880, 90308, 90736, 91164, 91592, 92020, 92448, 92876, 93304, 93732, 94160, 94588, 95016, 95444, 95872, 96300, 96728, 97156, 97584, 98012, 98440, 98868, 99296, 99724

There is a total of 233 numbers (up to 100000) that are divisible by 428.
The sum of these numbers is 11667708.
The arithmetic mean of these numbers is 50076.

How to find the numbers divisible by 428?

Finding all the numbers that can be divided by 428 is essentially the same as searching for the multiples of 428: if a number N is a multiple of 428, then 428 is a divisor of N.

Indeed, if we assume that N is a multiple of 428, this means there exists an integer k such that:

$k \times 428 = N$

Conversely, the result of N divided by 428 is this same integer k (without any remainder):

$k = \frac{N}{428}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 428 (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 428 less than 100000):

1 × 428 = 428
2 × 428 = 856
3 × 428 = 1284
...
232 × 428 = 99296
233 × 428 = 99724