What are the numbers divisible by 6003?

6003, 12006, 18009, 24012, 30015, 36018, 42021, 48024, 54027, 60030, 66033, 72036, 78039, 84042, 90045, 96048

There is a total of 16 numbers (up to 100000) that are divisible by 6003.
The sum of these numbers is 816408.
The arithmetic mean of these numbers is 51025.5.

How to find the numbers divisible by 6003?

Finding all the numbers that can be divided by 6003 is essentially the same as searching for the multiples of 6003: if a number N is a multiple of 6003, then 6003 is a divisor of N.

Indeed, if we assume that N is a multiple of 6003, this means there exists an integer k such that:

$k \times 6003 = N$

Conversely, the result of N divided by 6003 is this same integer k (without any remainder):

$k = \frac{N}{6003}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6003 (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 6003 less than 100000):

1 × 6003 = 6003
2 × 6003 = 12006
3 × 6003 = 18009
...
15 × 6003 = 90045
16 × 6003 = 96048