What are the numbers divisible by 8032?

8032, 16064, 24096, 32128, 40160, 48192, 56224, 64256, 72288, 80320, 88352, 96384

There is a total of 12 numbers (up to 100000) that are divisible by 8032.
The sum of these numbers is 626496.
The arithmetic mean of these numbers is 52208.

How to find the numbers divisible by 8032?

Finding all the numbers that can be divided by 8032 is essentially the same as searching for the multiples of 8032: if a number N is a multiple of 8032, then 8032 is a divisor of N.

Indeed, if we assume that N is a multiple of 8032, this means there exists an integer k such that:

$k \times 8032 = N$

Conversely, the result of N divided by 8032 is this same integer k (without any remainder):

$k = \frac{N}{8032}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8032 (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 8032 less than 100000):

1 × 8032 = 8032
2 × 8032 = 16064
3 × 8032 = 24096
...
11 × 8032 = 88352
12 × 8032 = 96384