What are the numbers divisible by 579?

579, 1158, 1737, 2316, 2895, 3474, 4053, 4632, 5211, 5790, 6369, 6948, 7527, 8106, 8685, 9264, 9843, 10422, 11001, 11580, 12159, 12738, 13317, 13896, 14475, 15054, 15633, 16212, 16791, 17370, 17949, 18528, 19107, 19686, 20265, 20844, 21423, 22002, 22581, 23160, 23739, 24318, 24897, 25476, 26055, 26634, 27213, 27792, 28371, 28950, 29529, 30108, 30687, 31266, 31845, 32424, 33003, 33582, 34161, 34740, 35319, 35898, 36477, 37056, 37635, 38214, 38793, 39372, 39951, 40530, 41109, 41688, 42267, 42846, 43425, 44004, 44583, 45162, 45741, 46320, 46899, 47478, 48057, 48636, 49215, 49794, 50373, 50952, 51531, 52110, 52689, 53268, 53847, 54426, 55005, 55584, 56163, 56742, 57321, 57900, 58479, 59058, 59637, 60216, 60795, 61374, 61953, 62532, 63111, 63690, 64269, 64848, 65427, 66006, 66585, 67164, 67743, 68322, 68901, 69480, 70059, 70638, 71217, 71796, 72375, 72954, 73533, 74112, 74691, 75270, 75849, 76428, 77007, 77586, 78165, 78744, 79323, 79902, 80481, 81060, 81639, 82218, 82797, 83376, 83955, 84534, 85113, 85692, 86271, 86850, 87429, 88008, 88587, 89166, 89745, 90324, 90903, 91482, 92061, 92640, 93219, 93798, 94377, 94956, 95535, 96114, 96693, 97272, 97851, 98430, 99009, 99588

There is a total of 172 numbers (up to 100000) that are divisible by 579.
The sum of these numbers is 8614362.
The arithmetic mean of these numbers is 50083.5.

How to find the numbers divisible by 579?

Finding all the numbers that can be divided by 579 is essentially the same as searching for the multiples of 579: if a number N is a multiple of 579, then 579 is a divisor of N.

Indeed, if we assume that N is a multiple of 579, this means there exists an integer k such that:

$k \times 579 = N$

Conversely, the result of N divided by 579 is this same integer k (without any remainder):

$k = \frac{N}{579}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 579 (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 579 less than 100000):

1 × 579 = 579
2 × 579 = 1158
3 × 579 = 1737
...
171 × 579 = 99009
172 × 579 = 99588