What are the numbers divisible by 8101?

8101, 16202, 24303, 32404, 40505, 48606, 56707, 64808, 72909, 81010, 89111, 97212

There is a total of 12 numbers (up to 100000) that are divisible by 8101.
The sum of these numbers is 631878.
The arithmetic mean of these numbers is 52656.5.

How to find the numbers divisible by 8101?

Finding all the numbers that can be divided by 8101 is essentially the same as searching for the multiples of 8101: if a number N is a multiple of 8101, then 8101 is a divisor of N.

Indeed, if we assume that N is a multiple of 8101, this means there exists an integer k such that:

$k \times 8101 = N$

Conversely, the result of N divided by 8101 is this same integer k (without any remainder):

$k = \frac{N}{8101}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8101 (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 8101 less than 100000):

1 × 8101 = 8101
2 × 8101 = 16202
3 × 8101 = 24303
...
11 × 8101 = 89111
12 × 8101 = 97212