What are the numbers divisible by 4003?

4003, 8006, 12009, 16012, 20015, 24018, 28021, 32024, 36027, 40030, 44033, 48036, 52039, 56042, 60045, 64048, 68051, 72054, 76057, 80060, 84063, 88066, 92069, 96072

There is a total of 24 numbers (up to 100000) that are divisible by 4003.
The sum of these numbers is 1200900.
The arithmetic mean of these numbers is 50037.5.

How to find the numbers divisible by 4003?

Finding all the numbers that can be divided by 4003 is essentially the same as searching for the multiples of 4003: if a number N is a multiple of 4003, then 4003 is a divisor of N.

Indeed, if we assume that N is a multiple of 4003, this means there exists an integer k such that:

$k \times 4003 = N$

Conversely, the result of N divided by 4003 is this same integer k (without any remainder):

$k = \frac{N}{4003}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4003 (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 4003 less than 100000):

1 × 4003 = 4003
2 × 4003 = 8006
3 × 4003 = 12009
...
23 × 4003 = 92069
24 × 4003 = 96072