What are the numbers divisible by 2085?

2085, 4170, 6255, 8340, 10425, 12510, 14595, 16680, 18765, 20850, 22935, 25020, 27105, 29190, 31275, 33360, 35445, 37530, 39615, 41700, 43785, 45870, 47955, 50040, 52125, 54210, 56295, 58380, 60465, 62550, 64635, 66720, 68805, 70890, 72975, 75060, 77145, 79230, 81315, 83400, 85485, 87570, 89655, 91740, 93825, 95910, 97995

There is a total of 47 numbers (up to 100000) that are divisible by 2085.
The sum of these numbers is 2351880.
The arithmetic mean of these numbers is 50040.

How to find the numbers divisible by 2085?

Finding all the numbers that can be divided by 2085 is essentially the same as searching for the multiples of 2085: if a number N is a multiple of 2085, then 2085 is a divisor of N.

Indeed, if we assume that N is a multiple of 2085, this means there exists an integer k such that:

$k \times 2085 = N$

Conversely, the result of N divided by 2085 is this same integer k (without any remainder):

$k = \frac{N}{2085}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2085 (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 2085 less than 100000):

1 × 2085 = 2085
2 × 2085 = 4170
3 × 2085 = 6255
...
46 × 2085 = 95910
47 × 2085 = 97995