What are the numbers divisible by 3016?

3016, 6032, 9048, 12064, 15080, 18096, 21112, 24128, 27144, 30160, 33176, 36192, 39208, 42224, 45240, 48256, 51272, 54288, 57304, 60320, 63336, 66352, 69368, 72384, 75400, 78416, 81432, 84448, 87464, 90480, 93496, 96512, 99528

There is a total of 33 numbers (up to 100000) that are divisible by 3016.
The sum of these numbers is 1691976.
The arithmetic mean of these numbers is 51272.

How to find the numbers divisible by 3016?

Finding all the numbers that can be divided by 3016 is essentially the same as searching for the multiples of 3016: if a number N is a multiple of 3016, then 3016 is a divisor of N.

Indeed, if we assume that N is a multiple of 3016, this means there exists an integer k such that:

$k \times 3016 = N$

Conversely, the result of N divided by 3016 is this same integer k (without any remainder):

$k = \frac{N}{3016}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3016 (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 3016 less than 100000):

1 × 3016 = 3016
2 × 3016 = 6032
3 × 3016 = 9048
...
32 × 3016 = 96512
33 × 3016 = 99528