What are the numbers divisible by 965?

965, 1930, 2895, 3860, 4825, 5790, 6755, 7720, 8685, 9650, 10615, 11580, 12545, 13510, 14475, 15440, 16405, 17370, 18335, 19300, 20265, 21230, 22195, 23160, 24125, 25090, 26055, 27020, 27985, 28950, 29915, 30880, 31845, 32810, 33775, 34740, 35705, 36670, 37635, 38600, 39565, 40530, 41495, 42460, 43425, 44390, 45355, 46320, 47285, 48250, 49215, 50180, 51145, 52110, 53075, 54040, 55005, 55970, 56935, 57900, 58865, 59830, 60795, 61760, 62725, 63690, 64655, 65620, 66585, 67550, 68515, 69480, 70445, 71410, 72375, 73340, 74305, 75270, 76235, 77200, 78165, 79130, 80095, 81060, 82025, 82990, 83955, 84920, 85885, 86850, 87815, 88780, 89745, 90710, 91675, 92640, 93605, 94570, 95535, 96500, 97465, 98430, 99395

There is a total of 103 numbers (up to 100000) that are divisible by 965.
The sum of these numbers is 5168540.
The arithmetic mean of these numbers is 50180.

How to find the numbers divisible by 965?

Finding all the numbers that can be divided by 965 is essentially the same as searching for the multiples of 965: if a number N is a multiple of 965, then 965 is a divisor of N.

Indeed, if we assume that N is a multiple of 965, this means there exists an integer k such that:

$k \times 965 = N$

Conversely, the result of N divided by 965 is this same integer k (without any remainder):

$k = \frac{N}{965}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 965 (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 965 less than 100000):

1 × 965 = 965
2 × 965 = 1930
3 × 965 = 2895
...
102 × 965 = 98430
103 × 965 = 99395