What are the numbers divisible by 9002?

9002, 18004, 27006, 36008, 45010, 54012, 63014, 72016, 81018, 90020, 99022

There is a total of 11 numbers (up to 100000) that are divisible by 9002.
The sum of these numbers is 594132.
The arithmetic mean of these numbers is 54012.

How to find the numbers divisible by 9002?

Finding all the numbers that can be divided by 9002 is essentially the same as searching for the multiples of 9002: if a number N is a multiple of 9002, then 9002 is a divisor of N.

Indeed, if we assume that N is a multiple of 9002, this means there exists an integer k such that:

$k \times 9002 = N$

Conversely, the result of N divided by 9002 is this same integer k (without any remainder):

$k = \frac{N}{9002}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9002 (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 9002 less than 100000):

1 × 9002 = 9002
2 × 9002 = 18004
3 × 9002 = 27006
...
10 × 9002 = 90020
11 × 9002 = 99022