What are the numbers divisible by 2041?

2041, 4082, 6123, 8164, 10205, 12246, 14287, 16328, 18369, 20410, 22451, 24492, 26533, 28574, 30615, 32656, 34697, 36738, 38779, 40820, 42861, 44902, 46943, 48984, 51025, 53066, 55107, 57148, 59189, 61230, 63271, 65312, 67353, 69394, 71435, 73476, 75517, 77558, 79599, 81640, 83681, 85722, 87763, 89804, 91845, 93886, 95927, 97968

There is a total of 48 numbers (up to 100000) that are divisible by 2041.
The sum of these numbers is 2400216.
The arithmetic mean of these numbers is 50004.5.

How to find the numbers divisible by 2041?

Finding all the numbers that can be divided by 2041 is essentially the same as searching for the multiples of 2041: if a number N is a multiple of 2041, then 2041 is a divisor of N.

Indeed, if we assume that N is a multiple of 2041, this means there exists an integer k such that:

$k \times 2041 = N$

Conversely, the result of N divided by 2041 is this same integer k (without any remainder):

$k = \frac{N}{2041}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2041 (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 2041 less than 100000):

1 × 2041 = 2041
2 × 2041 = 4082
3 × 2041 = 6123
...
47 × 2041 = 95927
48 × 2041 = 97968