What are the numbers divisible by 4085?

4085, 8170, 12255, 16340, 20425, 24510, 28595, 32680, 36765, 40850, 44935, 49020, 53105, 57190, 61275, 65360, 69445, 73530, 77615, 81700, 85785, 89870, 93955, 98040

There is a total of 24 numbers (up to 100000) that are divisible by 4085.
The sum of these numbers is 1225500.
The arithmetic mean of these numbers is 51062.5.

How to find the numbers divisible by 4085?

Finding all the numbers that can be divided by 4085 is essentially the same as searching for the multiples of 4085: if a number N is a multiple of 4085, then 4085 is a divisor of N.

Indeed, if we assume that N is a multiple of 4085, this means there exists an integer k such that:

$k \times 4085 = N$

Conversely, the result of N divided by 4085 is this same integer k (without any remainder):

$k = \frac{N}{4085}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4085 (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 4085 less than 100000):

1 × 4085 = 4085
2 × 4085 = 8170
3 × 4085 = 12255
...
23 × 4085 = 93955
24 × 4085 = 98040