What are the numbers divisible by 4021?

4021, 8042, 12063, 16084, 20105, 24126, 28147, 32168, 36189, 40210, 44231, 48252, 52273, 56294, 60315, 64336, 68357, 72378, 76399, 80420, 84441, 88462, 92483, 96504

There is a total of 24 numbers (up to 100000) that are divisible by 4021.
The sum of these numbers is 1206300.
The arithmetic mean of these numbers is 50262.5.

How to find the numbers divisible by 4021?

Finding all the numbers that can be divided by 4021 is essentially the same as searching for the multiples of 4021: if a number N is a multiple of 4021, then 4021 is a divisor of N.

Indeed, if we assume that N is a multiple of 4021, this means there exists an integer k such that:

$k \times 4021 = N$

Conversely, the result of N divided by 4021 is this same integer k (without any remainder):

$k = \frac{N}{4021}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4021 (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 4021 less than 100000):

1 × 4021 = 4021
2 × 4021 = 8042
3 × 4021 = 12063
...
23 × 4021 = 92483
24 × 4021 = 96504