What are the numbers divisible by 426?

426, 852, 1278, 1704, 2130, 2556, 2982, 3408, 3834, 4260, 4686, 5112, 5538, 5964, 6390, 6816, 7242, 7668, 8094, 8520, 8946, 9372, 9798, 10224, 10650, 11076, 11502, 11928, 12354, 12780, 13206, 13632, 14058, 14484, 14910, 15336, 15762, 16188, 16614, 17040, 17466, 17892, 18318, 18744, 19170, 19596, 20022, 20448, 20874, 21300, 21726, 22152, 22578, 23004, 23430, 23856, 24282, 24708, 25134, 25560, 25986, 26412, 26838, 27264, 27690, 28116, 28542, 28968, 29394, 29820, 30246, 30672, 31098, 31524, 31950, 32376, 32802, 33228, 33654, 34080, 34506, 34932, 35358, 35784, 36210, 36636, 37062, 37488, 37914, 38340, 38766, 39192, 39618, 40044, 40470, 40896, 41322, 41748, 42174, 42600, 43026, 43452, 43878, 44304, 44730, 45156, 45582, 46008, 46434, 46860, 47286, 47712, 48138, 48564, 48990, 49416, 49842, 50268, 50694, 51120, 51546, 51972, 52398, 52824, 53250, 53676, 54102, 54528, 54954, 55380, 55806, 56232, 56658, 57084, 57510, 57936, 58362, 58788, 59214, 59640, 60066, 60492, 60918, 61344, 61770, 62196, 62622, 63048, 63474, 63900, 64326, 64752, 65178, 65604, 66030, 66456, 66882, 67308, 67734, 68160, 68586, 69012, 69438, 69864, 70290, 70716, 71142, 71568, 71994, 72420, 72846, 73272, 73698, 74124, 74550, 74976, 75402, 75828, 76254, 76680, 77106, 77532, 77958, 78384, 78810, 79236, 79662, 80088, 80514, 80940, 81366, 81792, 82218, 82644, 83070, 83496, 83922, 84348, 84774, 85200, 85626, 86052, 86478, 86904, 87330, 87756, 88182, 88608, 89034, 89460, 89886, 90312, 90738, 91164, 91590, 92016, 92442, 92868, 93294, 93720, 94146, 94572, 94998, 95424, 95850, 96276, 96702, 97128, 97554, 97980, 98406, 98832, 99258, 99684

There is a total of 234 numbers (up to 100000) that are divisible by 426.
The sum of these numbers is 11712870.
The arithmetic mean of these numbers is 50055.

How to find the numbers divisible by 426?

Finding all the numbers that can be divided by 426 is essentially the same as searching for the multiples of 426: if a number N is a multiple of 426, then 426 is a divisor of N.

Indeed, if we assume that N is a multiple of 426, this means there exists an integer k such that:

$k \times 426 = N$

Conversely, the result of N divided by 426 is this same integer k (without any remainder):

$k = \frac{N}{426}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 426 (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 426 less than 100000):

1 × 426 = 426
2 × 426 = 852
3 × 426 = 1278
...
233 × 426 = 99258
234 × 426 = 99684