What are the numbers divisible by 875?

875, 1750, 2625, 3500, 4375, 5250, 6125, 7000, 7875, 8750, 9625, 10500, 11375, 12250, 13125, 14000, 14875, 15750, 16625, 17500, 18375, 19250, 20125, 21000, 21875, 22750, 23625, 24500, 25375, 26250, 27125, 28000, 28875, 29750, 30625, 31500, 32375, 33250, 34125, 35000, 35875, 36750, 37625, 38500, 39375, 40250, 41125, 42000, 42875, 43750, 44625, 45500, 46375, 47250, 48125, 49000, 49875, 50750, 51625, 52500, 53375, 54250, 55125, 56000, 56875, 57750, 58625, 59500, 60375, 61250, 62125, 63000, 63875, 64750, 65625, 66500, 67375, 68250, 69125, 70000, 70875, 71750, 72625, 73500, 74375, 75250, 76125, 77000, 77875, 78750, 79625, 80500, 81375, 82250, 83125, 84000, 84875, 85750, 86625, 87500, 88375, 89250, 90125, 91000, 91875, 92750, 93625, 94500, 95375, 96250, 97125, 98000, 98875, 99750

There is a total of 114 numbers (up to 100000) that are divisible by 875.
The sum of these numbers is 5735625.
The arithmetic mean of these numbers is 50312.5.

How to find the numbers divisible by 875?

Finding all the numbers that can be divided by 875 is essentially the same as searching for the multiples of 875: if a number N is a multiple of 875, then 875 is a divisor of N.

Indeed, if we assume that N is a multiple of 875, this means there exists an integer k such that:

$k \times 875 = N$

Conversely, the result of N divided by 875 is this same integer k (without any remainder):

$k = \frac{N}{875}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 875 (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 875 less than 100000):

1 × 875 = 875
2 × 875 = 1750
3 × 875 = 2625
...
113 × 875 = 98875
114 × 875 = 99750