What are the numbers divisible by 6002?

6002, 12004, 18006, 24008, 30010, 36012, 42014, 48016, 54018, 60020, 66022, 72024, 78026, 84028, 90030, 96032

There is a total of 16 numbers (up to 100000) that are divisible by 6002.
The sum of these numbers is 816272.
The arithmetic mean of these numbers is 51017.

How to find the numbers divisible by 6002?

Finding all the numbers that can be divided by 6002 is essentially the same as searching for the multiples of 6002: if a number N is a multiple of 6002, then 6002 is a divisor of N.

Indeed, if we assume that N is a multiple of 6002, this means there exists an integer k such that:

$k \times 6002 = N$

Conversely, the result of N divided by 6002 is this same integer k (without any remainder):

$k = \frac{N}{6002}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6002 (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 6002 less than 100000):

1 × 6002 = 6002
2 × 6002 = 12004
3 × 6002 = 18006
...
15 × 6002 = 90030
16 × 6002 = 96032