What are the numbers divisible by 8081?

8081, 16162, 24243, 32324, 40405, 48486, 56567, 64648, 72729, 80810, 88891, 96972

There is a total of 12 numbers (up to 100000) that are divisible by 8081.
The sum of these numbers is 630318.
The arithmetic mean of these numbers is 52526.5.

How to find the numbers divisible by 8081?

Finding all the numbers that can be divided by 8081 is essentially the same as searching for the multiples of 8081: if a number N is a multiple of 8081, then 8081 is a divisor of N.

Indeed, if we assume that N is a multiple of 8081, this means there exists an integer k such that:

$k \times 8081 = N$

Conversely, the result of N divided by 8081 is this same integer k (without any remainder):

$k = \frac{N}{8081}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8081 (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 8081 less than 100000):

1 × 8081 = 8081
2 × 8081 = 16162
3 × 8081 = 24243
...
11 × 8081 = 88891
12 × 8081 = 96972