What are the numbers divisible by 8078?

8078, 16156, 24234, 32312, 40390, 48468, 56546, 64624, 72702, 80780, 88858, 96936

There is a total of 12 numbers (up to 100000) that are divisible by 8078.
The sum of these numbers is 630084.
The arithmetic mean of these numbers is 52507.

How to find the numbers divisible by 8078?

Finding all the numbers that can be divided by 8078 is essentially the same as searching for the multiples of 8078: if a number N is a multiple of 8078, then 8078 is a divisor of N.

Indeed, if we assume that N is a multiple of 8078, this means there exists an integer k such that:

$k \times 8078 = N$

Conversely, the result of N divided by 8078 is this same integer k (without any remainder):

$k = \frac{N}{8078}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8078 (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 8078 less than 100000):

1 × 8078 = 8078
2 × 8078 = 16156
3 × 8078 = 24234
...
11 × 8078 = 88858
12 × 8078 = 96936