What are the numbers divisible by 4097?

How to find the numbers divisible by 4097?

Finding all the numbers that can be divided by 4097 is essentially the same as searching for the multiples of 4097: if a number N is a multiple of 4097, then 4097 is a divisor of N.

Indeed, if we assume that N is a multiple of 4097, this means there exists an integer k such that:

$k\times 4097=N$

Conversely, the result of N divided by 4097 is this same integer k (without any remainder):

$k=\frac{N}{\mathrm{4097}}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4097 (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 4097 less than 100000):

• 1 × 4097 = 4097
• 2 × 4097 = 8194
• 3 × 4097 = 12291
• ...
• 23 × 4097 = 94231
• 24 × 4097 = 98328