What are the numbers divisible by 969?

969, 1938, 2907, 3876, 4845, 5814, 6783, 7752, 8721, 9690, 10659, 11628, 12597, 13566, 14535, 15504, 16473, 17442, 18411, 19380, 20349, 21318, 22287, 23256, 24225, 25194, 26163, 27132, 28101, 29070, 30039, 31008, 31977, 32946, 33915, 34884, 35853, 36822, 37791, 38760, 39729, 40698, 41667, 42636, 43605, 44574, 45543, 46512, 47481, 48450, 49419, 50388, 51357, 52326, 53295, 54264, 55233, 56202, 57171, 58140, 59109, 60078, 61047, 62016, 62985, 63954, 64923, 65892, 66861, 67830, 68799, 69768, 70737, 71706, 72675, 73644, 74613, 75582, 76551, 77520, 78489, 79458, 80427, 81396, 82365, 83334, 84303, 85272, 86241, 87210, 88179, 89148, 90117, 91086, 92055, 93024, 93993, 94962, 95931, 96900, 97869, 98838, 99807

There is a total of 103 numbers (up to 100000) that are divisible by 969.
The sum of these numbers is 5189964.
The arithmetic mean of these numbers is 50388.

How to find the numbers divisible by 969?

Finding all the numbers that can be divided by 969 is essentially the same as searching for the multiples of 969: if a number N is a multiple of 969, then 969 is a divisor of N.

Indeed, if we assume that N is a multiple of 969, this means there exists an integer k such that:

$k \times 969 = N$

Conversely, the result of N divided by 969 is this same integer k (without any remainder):

$k = \frac{N}{969}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 969 (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 969 less than 100000):

1 × 969 = 969
2 × 969 = 1938
3 × 969 = 2907
...
102 × 969 = 98838
103 × 969 = 99807