What are the numbers divisible by 8084?

8084, 16168, 24252, 32336, 40420, 48504, 56588, 64672, 72756, 80840, 88924, 97008

There is a total of 12 numbers (up to 100000) that are divisible by 8084.
The sum of these numbers is 630552.
The arithmetic mean of these numbers is 52546.

How to find the numbers divisible by 8084?

Finding all the numbers that can be divided by 8084 is essentially the same as searching for the multiples of 8084: if a number N is a multiple of 8084, then 8084 is a divisor of N.

Indeed, if we assume that N is a multiple of 8084, this means there exists an integer k such that:

$k \times 8084 = N$

Conversely, the result of N divided by 8084 is this same integer k (without any remainder):

$k = \frac{N}{8084}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8084 (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 8084 less than 100000):

1 × 8084 = 8084
2 × 8084 = 16168
3 × 8084 = 24252
...
11 × 8084 = 88924
12 × 8084 = 97008