What are the numbers divisible by 8014?

8014, 16028, 24042, 32056, 40070, 48084, 56098, 64112, 72126, 80140, 88154, 96168

There is a total of 12 numbers (up to 100000) that are divisible by 8014.
The sum of these numbers is 625092.
The arithmetic mean of these numbers is 52091.

How to find the numbers divisible by 8014?

Finding all the numbers that can be divided by 8014 is essentially the same as searching for the multiples of 8014: if a number N is a multiple of 8014, then 8014 is a divisor of N.

Indeed, if we assume that N is a multiple of 8014, this means there exists an integer k such that:

$k \times 8014 = N$

Conversely, the result of N divided by 8014 is this same integer k (without any remainder):

$k = \frac{N}{8014}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8014 (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 8014 less than 100000):

1 × 8014 = 8014
2 × 8014 = 16028
3 × 8014 = 24042
...
11 × 8014 = 88154
12 × 8014 = 96168