What are the numbers divisible by 455?

455, 910, 1365, 1820, 2275, 2730, 3185, 3640, 4095, 4550, 5005, 5460, 5915, 6370, 6825, 7280, 7735, 8190, 8645, 9100, 9555, 10010, 10465, 10920, 11375, 11830, 12285, 12740, 13195, 13650, 14105, 14560, 15015, 15470, 15925, 16380, 16835, 17290, 17745, 18200, 18655, 19110, 19565, 20020, 20475, 20930, 21385, 21840, 22295, 22750, 23205, 23660, 24115, 24570, 25025, 25480, 25935, 26390, 26845, 27300, 27755, 28210, 28665, 29120, 29575, 30030, 30485, 30940, 31395, 31850, 32305, 32760, 33215, 33670, 34125, 34580, 35035, 35490, 35945, 36400, 36855, 37310, 37765, 38220, 38675, 39130, 39585, 40040, 40495, 40950, 41405, 41860, 42315, 42770, 43225, 43680, 44135, 44590, 45045, 45500, 45955, 46410, 46865, 47320, 47775, 48230, 48685, 49140, 49595, 50050, 50505, 50960, 51415, 51870, 52325, 52780, 53235, 53690, 54145, 54600, 55055, 55510, 55965, 56420, 56875, 57330, 57785, 58240, 58695, 59150, 59605, 60060, 60515, 60970, 61425, 61880, 62335, 62790, 63245, 63700, 64155, 64610, 65065, 65520, 65975, 66430, 66885, 67340, 67795, 68250, 68705, 69160, 69615, 70070, 70525, 70980, 71435, 71890, 72345, 72800, 73255, 73710, 74165, 74620, 75075, 75530, 75985, 76440, 76895, 77350, 77805, 78260, 78715, 79170, 79625, 80080, 80535, 80990, 81445, 81900, 82355, 82810, 83265, 83720, 84175, 84630, 85085, 85540, 85995, 86450, 86905, 87360, 87815, 88270, 88725, 89180, 89635, 90090, 90545, 91000, 91455, 91910, 92365, 92820, 93275, 93730, 94185, 94640, 95095, 95550, 96005, 96460, 96915, 97370, 97825, 98280, 98735, 99190, 99645

There is a total of 219 numbers (up to 100000) that are divisible by 455.
The sum of these numbers is 10960950.
The arithmetic mean of these numbers is 50050.

How to find the numbers divisible by 455?

Finding all the numbers that can be divided by 455 is essentially the same as searching for the multiples of 455: if a number N is a multiple of 455, then 455 is a divisor of N.

Indeed, if we assume that N is a multiple of 455, this means there exists an integer k such that:

$k \times 455 = N$

Conversely, the result of N divided by 455 is this same integer k (without any remainder):

$k = \frac{N}{455}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 455 (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 455 less than 100000):

1 × 455 = 455
2 × 455 = 910
3 × 455 = 1365
...
218 × 455 = 99190
219 × 455 = 99645