What are the numbers divisible by 4141?

4141, 8282, 12423, 16564, 20705, 24846, 28987, 33128, 37269, 41410, 45551, 49692, 53833, 57974, 62115, 66256, 70397, 74538, 78679, 82820, 86961, 91102, 95243, 99384

There is a total of 24 numbers (up to 100000) that are divisible by 4141.
The sum of these numbers is 1242300.
The arithmetic mean of these numbers is 51762.5.

How to find the numbers divisible by 4141?

Finding all the numbers that can be divided by 4141 is essentially the same as searching for the multiples of 4141: if a number N is a multiple of 4141, then 4141 is a divisor of N.

Indeed, if we assume that N is a multiple of 4141, this means there exists an integer k such that:

$k \times 4141 = N$

Conversely, the result of N divided by 4141 is this same integer k (without any remainder):

$k = \frac{N}{4141}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4141 (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 4141 less than 100000):

1 × 4141 = 4141
2 × 4141 = 8282
3 × 4141 = 12423
...
23 × 4141 = 95243
24 × 4141 = 99384