What are the numbers divisible by 404?

404, 808, 1212, 1616, 2020, 2424, 2828, 3232, 3636, 4040, 4444, 4848, 5252, 5656, 6060, 6464, 6868, 7272, 7676, 8080, 8484, 8888, 9292, 9696, 10100, 10504, 10908, 11312, 11716, 12120, 12524, 12928, 13332, 13736, 14140, 14544, 14948, 15352, 15756, 16160, 16564, 16968, 17372, 17776, 18180, 18584, 18988, 19392, 19796, 20200, 20604, 21008, 21412, 21816, 22220, 22624, 23028, 23432, 23836, 24240, 24644, 25048, 25452, 25856, 26260, 26664, 27068, 27472, 27876, 28280, 28684, 29088, 29492, 29896, 30300, 30704, 31108, 31512, 31916, 32320, 32724, 33128, 33532, 33936, 34340, 34744, 35148, 35552, 35956, 36360, 36764, 37168, 37572, 37976, 38380, 38784, 39188, 39592, 39996, 40400, 40804, 41208, 41612, 42016, 42420, 42824, 43228, 43632, 44036, 44440, 44844, 45248, 45652, 46056, 46460, 46864, 47268, 47672, 48076, 48480, 48884, 49288, 49692, 50096, 50500, 50904, 51308, 51712, 52116, 52520, 52924, 53328, 53732, 54136, 54540, 54944, 55348, 55752, 56156, 56560, 56964, 57368, 57772, 58176, 58580, 58984, 59388, 59792, 60196, 60600, 61004, 61408, 61812, 62216, 62620, 63024, 63428, 63832, 64236, 64640, 65044, 65448, 65852, 66256, 66660, 67064, 67468, 67872, 68276, 68680, 69084, 69488, 69892, 70296, 70700, 71104, 71508, 71912, 72316, 72720, 73124, 73528, 73932, 74336, 74740, 75144, 75548, 75952, 76356, 76760, 77164, 77568, 77972, 78376, 78780, 79184, 79588, 79992, 80396, 80800, 81204, 81608, 82012, 82416, 82820, 83224, 83628, 84032, 84436, 84840, 85244, 85648, 86052, 86456, 86860, 87264, 87668, 88072, 88476, 88880, 89284, 89688, 90092, 90496, 90900, 91304, 91708, 92112, 92516, 92920, 93324, 93728, 94132, 94536, 94940, 95344, 95748, 96152, 96556, 96960, 97364, 97768, 98172, 98576, 98980, 99384, 99788

There is a total of 247 numbers (up to 100000) that are divisible by 404.
The sum of these numbers is 12373712.
The arithmetic mean of these numbers is 50096.

How to find the numbers divisible by 404?

Finding all the numbers that can be divided by 404 is essentially the same as searching for the multiples of 404: if a number N is a multiple of 404, then 404 is a divisor of N.

Indeed, if we assume that N is a multiple of 404, this means there exists an integer k such that:

$k \times 404 = N$

Conversely, the result of N divided by 404 is this same integer k (without any remainder):

$k = \frac{N}{404}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 404 (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 404 less than 100000):

1 × 404 = 404
2 × 404 = 808
3 × 404 = 1212
...
246 × 404 = 99384
247 × 404 = 99788