What are the numbers divisible by 427?

427, 854, 1281, 1708, 2135, 2562, 2989, 3416, 3843, 4270, 4697, 5124, 5551, 5978, 6405, 6832, 7259, 7686, 8113, 8540, 8967, 9394, 9821, 10248, 10675, 11102, 11529, 11956, 12383, 12810, 13237, 13664, 14091, 14518, 14945, 15372, 15799, 16226, 16653, 17080, 17507, 17934, 18361, 18788, 19215, 19642, 20069, 20496, 20923, 21350, 21777, 22204, 22631, 23058, 23485, 23912, 24339, 24766, 25193, 25620, 26047, 26474, 26901, 27328, 27755, 28182, 28609, 29036, 29463, 29890, 30317, 30744, 31171, 31598, 32025, 32452, 32879, 33306, 33733, 34160, 34587, 35014, 35441, 35868, 36295, 36722, 37149, 37576, 38003, 38430, 38857, 39284, 39711, 40138, 40565, 40992, 41419, 41846, 42273, 42700, 43127, 43554, 43981, 44408, 44835, 45262, 45689, 46116, 46543, 46970, 47397, 47824, 48251, 48678, 49105, 49532, 49959, 50386, 50813, 51240, 51667, 52094, 52521, 52948, 53375, 53802, 54229, 54656, 55083, 55510, 55937, 56364, 56791, 57218, 57645, 58072, 58499, 58926, 59353, 59780, 60207, 60634, 61061, 61488, 61915, 62342, 62769, 63196, 63623, 64050, 64477, 64904, 65331, 65758, 66185, 66612, 67039, 67466, 67893, 68320, 68747, 69174, 69601, 70028, 70455, 70882, 71309, 71736, 72163, 72590, 73017, 73444, 73871, 74298, 74725, 75152, 75579, 76006, 76433, 76860, 77287, 77714, 78141, 78568, 78995, 79422, 79849, 80276, 80703, 81130, 81557, 81984, 82411, 82838, 83265, 83692, 84119, 84546, 84973, 85400, 85827, 86254, 86681, 87108, 87535, 87962, 88389, 88816, 89243, 89670, 90097, 90524, 90951, 91378, 91805, 92232, 92659, 93086, 93513, 93940, 94367, 94794, 95221, 95648, 96075, 96502, 96929, 97356, 97783, 98210, 98637, 99064, 99491, 99918

There is a total of 234 numbers (up to 100000) that are divisible by 427.
The sum of these numbers is 11740365.
The arithmetic mean of these numbers is 50172.5.

How to find the numbers divisible by 427?

Finding all the numbers that can be divided by 427 is essentially the same as searching for the multiples of 427: if a number N is a multiple of 427, then 427 is a divisor of N.

Indeed, if we assume that N is a multiple of 427, this means there exists an integer k such that:

$k \times 427 = N$

Conversely, the result of N divided by 427 is this same integer k (without any remainder):

$k = \frac{N}{427}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 427 (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 427 less than 100000):

1 × 427 = 427
2 × 427 = 854
3 × 427 = 1281
...
233 × 427 = 99491
234 × 427 = 99918