What are the numbers divisible by 3002?

3002, 6004, 9006, 12008, 15010, 18012, 21014, 24016, 27018, 30020, 33022, 36024, 39026, 42028, 45030, 48032, 51034, 54036, 57038, 60040, 63042, 66044, 69046, 72048, 75050, 78052, 81054, 84056, 87058, 90060, 93062, 96064, 99066

There is a total of 33 numbers (up to 100000) that are divisible by 3002.
The sum of these numbers is 1684122.
The arithmetic mean of these numbers is 51034.

How to find the numbers divisible by 3002?

Finding all the numbers that can be divided by 3002 is essentially the same as searching for the multiples of 3002: if a number N is a multiple of 3002, then 3002 is a divisor of N.

Indeed, if we assume that N is a multiple of 3002, this means there exists an integer k such that:

$k \times 3002 = N$

Conversely, the result of N divided by 3002 is this same integer k (without any remainder):

$k = \frac{N}{3002}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3002 (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 3002 less than 100000):

1 × 3002 = 3002
2 × 3002 = 6004
3 × 3002 = 9006
...
32 × 3002 = 96064
33 × 3002 = 99066