What are the numbers divisible by 8095?

8095, 16190, 24285, 32380, 40475, 48570, 56665, 64760, 72855, 80950, 89045, 97140

There is a total of 12 numbers (up to 100000) that are divisible by 8095.
The sum of these numbers is 631410.
The arithmetic mean of these numbers is 52617.5.

How to find the numbers divisible by 8095?

Finding all the numbers that can be divided by 8095 is essentially the same as searching for the multiples of 8095: if a number N is a multiple of 8095, then 8095 is a divisor of N.

Indeed, if we assume that N is a multiple of 8095, this means there exists an integer k such that:

$k \times 8095 = N$

Conversely, the result of N divided by 8095 is this same integer k (without any remainder):

$k = \frac{N}{8095}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8095 (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 8095 less than 100000):

1 × 8095 = 8095
2 × 8095 = 16190
3 × 8095 = 24285
...
11 × 8095 = 89045
12 × 8095 = 97140