What are the numbers divisible by 3021?

3021, 6042, 9063, 12084, 15105, 18126, 21147, 24168, 27189, 30210, 33231, 36252, 39273, 42294, 45315, 48336, 51357, 54378, 57399, 60420, 63441, 66462, 69483, 72504, 75525, 78546, 81567, 84588, 87609, 90630, 93651, 96672, 99693

There is a total of 33 numbers (up to 100000) that are divisible by 3021.
The sum of these numbers is 1694781.
The arithmetic mean of these numbers is 51357.

How to find the numbers divisible by 3021?

Finding all the numbers that can be divided by 3021 is essentially the same as searching for the multiples of 3021: if a number N is a multiple of 3021, then 3021 is a divisor of N.

Indeed, if we assume that N is a multiple of 3021, this means there exists an integer k such that:

$k \times 3021 = N$

Conversely, the result of N divided by 3021 is this same integer k (without any remainder):

$k = \frac{N}{3021}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3021 (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 3021 less than 100000):

1 × 3021 = 3021
2 × 3021 = 6042
3 × 3021 = 9063
...
32 × 3021 = 96672
33 × 3021 = 99693