What are the numbers divisible by 865?

865, 1730, 2595, 3460, 4325, 5190, 6055, 6920, 7785, 8650, 9515, 10380, 11245, 12110, 12975, 13840, 14705, 15570, 16435, 17300, 18165, 19030, 19895, 20760, 21625, 22490, 23355, 24220, 25085, 25950, 26815, 27680, 28545, 29410, 30275, 31140, 32005, 32870, 33735, 34600, 35465, 36330, 37195, 38060, 38925, 39790, 40655, 41520, 42385, 43250, 44115, 44980, 45845, 46710, 47575, 48440, 49305, 50170, 51035, 51900, 52765, 53630, 54495, 55360, 56225, 57090, 57955, 58820, 59685, 60550, 61415, 62280, 63145, 64010, 64875, 65740, 66605, 67470, 68335, 69200, 70065, 70930, 71795, 72660, 73525, 74390, 75255, 76120, 76985, 77850, 78715, 79580, 80445, 81310, 82175, 83040, 83905, 84770, 85635, 86500, 87365, 88230, 89095, 89960, 90825, 91690, 92555, 93420, 94285, 95150, 96015, 96880, 97745, 98610, 99475

There is a total of 115 numbers (up to 100000) that are divisible by 865.
The sum of these numbers is 5769550.
The arithmetic mean of these numbers is 50170.

How to find the numbers divisible by 865?

Finding all the numbers that can be divided by 865 is essentially the same as searching for the multiples of 865: if a number N is a multiple of 865, then 865 is a divisor of N.

Indeed, if we assume that N is a multiple of 865, this means there exists an integer k such that:

$k \times 865 = N$

Conversely, the result of N divided by 865 is this same integer k (without any remainder):

$k = \frac{N}{865}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 865 (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 865 less than 100000):

1 × 865 = 865
2 × 865 = 1730
3 × 865 = 2595
...
114 × 865 = 98610
115 × 865 = 99475