What are the numbers divisible by 3042?

3042, 6084, 9126, 12168, 15210, 18252, 21294, 24336, 27378, 30420, 33462, 36504, 39546, 42588, 45630, 48672, 51714, 54756, 57798, 60840, 63882, 66924, 69966, 73008, 76050, 79092, 82134, 85176, 88218, 91260, 94302, 97344

There is a total of 32 numbers (up to 100000) that are divisible by 3042.
The sum of these numbers is 1606176.
The arithmetic mean of these numbers is 50193.

How to find the numbers divisible by 3042?

Finding all the numbers that can be divided by 3042 is essentially the same as searching for the multiples of 3042: if a number N is a multiple of 3042, then 3042 is a divisor of N.

Indeed, if we assume that N is a multiple of 3042, this means there exists an integer k such that:

$k \times 3042 = N$

Conversely, the result of N divided by 3042 is this same integer k (without any remainder):

$k = \frac{N}{3042}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3042 (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 3042 less than 100000):

1 × 3042 = 3042
2 × 3042 = 6084
3 × 3042 = 9126
...
31 × 3042 = 94302
32 × 3042 = 97344