What are the numbers divisible by 4089?

4089, 8178, 12267, 16356, 20445, 24534, 28623, 32712, 36801, 40890, 44979, 49068, 53157, 57246, 61335, 65424, 69513, 73602, 77691, 81780, 85869, 89958, 94047, 98136

There is a total of 24 numbers (up to 100000) that are divisible by 4089.
The sum of these numbers is 1226700.
The arithmetic mean of these numbers is 51112.5.

How to find the numbers divisible by 4089?

Finding all the numbers that can be divided by 4089 is essentially the same as searching for the multiples of 4089: if a number N is a multiple of 4089, then 4089 is a divisor of N.

Indeed, if we assume that N is a multiple of 4089, this means there exists an integer k such that:

$k \times 4089 = N$

Conversely, the result of N divided by 4089 is this same integer k (without any remainder):

$k = \frac{N}{4089}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4089 (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 4089 less than 100000):

1 × 4089 = 4089
2 × 4089 = 8178
3 × 4089 = 12267
...
23 × 4089 = 94047
24 × 4089 = 98136