What are the numbers divisible by 3014?

3014, 6028, 9042, 12056, 15070, 18084, 21098, 24112, 27126, 30140, 33154, 36168, 39182, 42196, 45210, 48224, 51238, 54252, 57266, 60280, 63294, 66308, 69322, 72336, 75350, 78364, 81378, 84392, 87406, 90420, 93434, 96448, 99462

There is a total of 33 numbers (up to 100000) that are divisible by 3014.
The sum of these numbers is 1690854.
The arithmetic mean of these numbers is 51238.

How to find the numbers divisible by 3014?

Finding all the numbers that can be divided by 3014 is essentially the same as searching for the multiples of 3014: if a number N is a multiple of 3014, then 3014 is a divisor of N.

Indeed, if we assume that N is a multiple of 3014, this means there exists an integer k such that:

$k \times 3014 = N$

Conversely, the result of N divided by 3014 is this same integer k (without any remainder):

$k = \frac{N}{3014}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3014 (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 3014 less than 100000):

1 × 3014 = 3014
2 × 3014 = 6028
3 × 3014 = 9042
...
32 × 3014 = 96448
33 × 3014 = 99462