What are the numbers divisible by 7071?

7071, 14142, 21213, 28284, 35355, 42426, 49497, 56568, 63639, 70710, 77781, 84852, 91923, 98994

There is a total of 14 numbers (up to 100000) that are divisible by 7071.
The sum of these numbers is 742455.
The arithmetic mean of these numbers is 53032.5.

How to find the numbers divisible by 7071?

Finding all the numbers that can be divided by 7071 is essentially the same as searching for the multiples of 7071: if a number N is a multiple of 7071, then 7071 is a divisor of N.

Indeed, if we assume that N is a multiple of 7071, this means there exists an integer k such that:

$k \times 7071 = N$

Conversely, the result of N divided by 7071 is this same integer k (without any remainder):

$k = \frac{N}{7071}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 7071 (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 7071 less than 100000):

1 × 7071 = 7071
2 × 7071 = 14142
3 × 7071 = 21213
...
13 × 7071 = 91923
14 × 7071 = 98994