What are the numbers divisible by 8201?

8201, 16402, 24603, 32804, 41005, 49206, 57407, 65608, 73809, 82010, 90211, 98412

There is a total of 12 numbers (up to 100000) that are divisible by 8201.
The sum of these numbers is 639678.
The arithmetic mean of these numbers is 53306.5.

How to find the numbers divisible by 8201?

Finding all the numbers that can be divided by 8201 is essentially the same as searching for the multiples of 8201: if a number N is a multiple of 8201, then 8201 is a divisor of N.

Indeed, if we assume that N is a multiple of 8201, this means there exists an integer k such that:

$k \times 8201 = N$

Conversely, the result of N divided by 8201 is this same integer k (without any remainder):

$k = \frac{N}{8201}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8201 (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 8201 less than 100000):

1 × 8201 = 8201
2 × 8201 = 16402
3 × 8201 = 24603
...
11 × 8201 = 90211
12 × 8201 = 98412