What are the numbers divisible by 8123?

8123, 16246, 24369, 32492, 40615, 48738, 56861, 64984, 73107, 81230, 89353, 97476

There is a total of 12 numbers (up to 100000) that are divisible by 8123.
The sum of these numbers is 633594.
The arithmetic mean of these numbers is 52799.5.

How to find the numbers divisible by 8123?

Finding all the numbers that can be divided by 8123 is essentially the same as searching for the multiples of 8123: if a number N is a multiple of 8123, then 8123 is a divisor of N.

Indeed, if we assume that N is a multiple of 8123, this means there exists an integer k such that:

$k \times 8123 = N$

Conversely, the result of N divided by 8123 is this same integer k (without any remainder):

$k = \frac{N}{8123}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8123 (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 8123 less than 100000):

1 × 8123 = 8123
2 × 8123 = 16246
3 × 8123 = 24369
...
11 × 8123 = 89353
12 × 8123 = 97476