What are the numbers divisible by 8193?

8193, 16386, 24579, 32772, 40965, 49158, 57351, 65544, 73737, 81930, 90123, 98316

There is a total of 12 numbers (up to 100000) that are divisible by 8193.
The sum of these numbers is 639054.
The arithmetic mean of these numbers is 53254.5.

How to find the numbers divisible by 8193?

Finding all the numbers that can be divided by 8193 is essentially the same as searching for the multiples of 8193: if a number N is a multiple of 8193, then 8193 is a divisor of N.

Indeed, if we assume that N is a multiple of 8193, this means there exists an integer k such that:

$k \times 8193 = N$

Conversely, the result of N divided by 8193 is this same integer k (without any remainder):

$k = \frac{N}{8193}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8193 (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 8193 less than 100000):

1 × 8193 = 8193
2 × 8193 = 16386
3 × 8193 = 24579
...
11 × 8193 = 90123
12 × 8193 = 98316