What are the numbers divisible by 4041?

4041, 8082, 12123, 16164, 20205, 24246, 28287, 32328, 36369, 40410, 44451, 48492, 52533, 56574, 60615, 64656, 68697, 72738, 76779, 80820, 84861, 88902, 92943, 96984

There is a total of 24 numbers (up to 100000) that are divisible by 4041.
The sum of these numbers is 1212300.
The arithmetic mean of these numbers is 50512.5.

How to find the numbers divisible by 4041?

Finding all the numbers that can be divided by 4041 is essentially the same as searching for the multiples of 4041: if a number N is a multiple of 4041, then 4041 is a divisor of N.

Indeed, if we assume that N is a multiple of 4041, this means there exists an integer k such that:

$k \times 4041 = N$

Conversely, the result of N divided by 4041 is this same integer k (without any remainder):

$k = \frac{N}{4041}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4041 (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 4041 less than 100000):

1 × 4041 = 4041
2 × 4041 = 8082
3 × 4041 = 12123
...
23 × 4041 = 92943
24 × 4041 = 96984