What are the numbers divisible by 815?

815, 1630, 2445, 3260, 4075, 4890, 5705, 6520, 7335, 8150, 8965, 9780, 10595, 11410, 12225, 13040, 13855, 14670, 15485, 16300, 17115, 17930, 18745, 19560, 20375, 21190, 22005, 22820, 23635, 24450, 25265, 26080, 26895, 27710, 28525, 29340, 30155, 30970, 31785, 32600, 33415, 34230, 35045, 35860, 36675, 37490, 38305, 39120, 39935, 40750, 41565, 42380, 43195, 44010, 44825, 45640, 46455, 47270, 48085, 48900, 49715, 50530, 51345, 52160, 52975, 53790, 54605, 55420, 56235, 57050, 57865, 58680, 59495, 60310, 61125, 61940, 62755, 63570, 64385, 65200, 66015, 66830, 67645, 68460, 69275, 70090, 70905, 71720, 72535, 73350, 74165, 74980, 75795, 76610, 77425, 78240, 79055, 79870, 80685, 81500, 82315, 83130, 83945, 84760, 85575, 86390, 87205, 88020, 88835, 89650, 90465, 91280, 92095, 92910, 93725, 94540, 95355, 96170, 96985, 97800, 98615, 99430

There is a total of 122 numbers (up to 100000) that are divisible by 815.
The sum of these numbers is 6114945.
The arithmetic mean of these numbers is 50122.5.

How to find the numbers divisible by 815?

Finding all the numbers that can be divided by 815 is essentially the same as searching for the multiples of 815: if a number N is a multiple of 815, then 815 is a divisor of N.

Indeed, if we assume that N is a multiple of 815, this means there exists an integer k such that:

$k \times 815 = N$

Conversely, the result of N divided by 815 is this same integer k (without any remainder):

$k = \frac{N}{815}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 815 (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 815 less than 100000):

1 × 815 = 815
2 × 815 = 1630
3 × 815 = 2445
...
121 × 815 = 98615
122 × 815 = 99430