What are the numbers divisible by 2021?

2021, 4042, 6063, 8084, 10105, 12126, 14147, 16168, 18189, 20210, 22231, 24252, 26273, 28294, 30315, 32336, 34357, 36378, 38399, 40420, 42441, 44462, 46483, 48504, 50525, 52546, 54567, 56588, 58609, 60630, 62651, 64672, 66693, 68714, 70735, 72756, 74777, 76798, 78819, 80840, 82861, 84882, 86903, 88924, 90945, 92966, 94987, 97008, 99029

There is a total of 49 numbers (up to 100000) that are divisible by 2021.
The sum of these numbers is 2475725.
The arithmetic mean of these numbers is 50525.

How to find the numbers divisible by 2021?

Finding all the numbers that can be divided by 2021 is essentially the same as searching for the multiples of 2021: if a number N is a multiple of 2021, then 2021 is a divisor of N.

Indeed, if we assume that N is a multiple of 2021, this means there exists an integer k such that:

$k \times 2021 = N$

Conversely, the result of N divided by 2021 is this same integer k (without any remainder):

$k = \frac{N}{2021}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2021 (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 2021 less than 100000):

1 × 2021 = 2021
2 × 2021 = 4042
3 × 2021 = 6063
...
48 × 2021 = 97008
49 × 2021 = 99029