What are the numbers divisible by 8027?

8027, 16054, 24081, 32108, 40135, 48162, 56189, 64216, 72243, 80270, 88297, 96324

There is a total of 12 numbers (up to 100000) that are divisible by 8027.
The sum of these numbers is 626106.
The arithmetic mean of these numbers is 52175.5.

How to find the numbers divisible by 8027?

Finding all the numbers that can be divided by 8027 is essentially the same as searching for the multiples of 8027: if a number N is a multiple of 8027, then 8027 is a divisor of N.

Indeed, if we assume that N is a multiple of 8027, this means there exists an integer k such that:

$k \times 8027 = N$

Conversely, the result of N divided by 8027 is this same integer k (without any remainder):

$k = \frac{N}{8027}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8027 (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 8027 less than 100000):

1 × 8027 = 8027
2 × 8027 = 16054
3 × 8027 = 24081
...
11 × 8027 = 88297
12 × 8027 = 96324