What are the numbers divisible by 4087?

4087, 8174, 12261, 16348, 20435, 24522, 28609, 32696, 36783, 40870, 44957, 49044, 53131, 57218, 61305, 65392, 69479, 73566, 77653, 81740, 85827, 89914, 94001, 98088

There is a total of 24 numbers (up to 100000) that are divisible by 4087.
The sum of these numbers is 1226100.
The arithmetic mean of these numbers is 51087.5.

How to find the numbers divisible by 4087?

Finding all the numbers that can be divided by 4087 is essentially the same as searching for the multiples of 4087: if a number N is a multiple of 4087, then 4087 is a divisor of N.

Indeed, if we assume that N is a multiple of 4087, this means there exists an integer k such that:

$k \times 4087 = N$

Conversely, the result of N divided by 4087 is this same integer k (without any remainder):

$k = \frac{N}{4087}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4087 (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 4087 less than 100000):

1 × 4087 = 4087
2 × 4087 = 8174
3 × 4087 = 12261
...
23 × 4087 = 94001
24 × 4087 = 98088