What are the numbers divisible by 8023?

8023, 16046, 24069, 32092, 40115, 48138, 56161, 64184, 72207, 80230, 88253, 96276

There is a total of 12 numbers (up to 100000) that are divisible by 8023.
The sum of these numbers is 625794.
The arithmetic mean of these numbers is 52149.5.

How to find the numbers divisible by 8023?

Finding all the numbers that can be divided by 8023 is essentially the same as searching for the multiples of 8023: if a number N is a multiple of 8023, then 8023 is a divisor of N.

Indeed, if we assume that N is a multiple of 8023, this means there exists an integer k such that:

$k \times 8023 = N$

Conversely, the result of N divided by 8023 is this same integer k (without any remainder):

$k = \frac{N}{8023}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8023 (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 8023 less than 100000):

1 × 8023 = 8023
2 × 8023 = 16046
3 × 8023 = 24069
...
11 × 8023 = 88253
12 × 8023 = 96276