What are the numbers divisible by 964?

964, 1928, 2892, 3856, 4820, 5784, 6748, 7712, 8676, 9640, 10604, 11568, 12532, 13496, 14460, 15424, 16388, 17352, 18316, 19280, 20244, 21208, 22172, 23136, 24100, 25064, 26028, 26992, 27956, 28920, 29884, 30848, 31812, 32776, 33740, 34704, 35668, 36632, 37596, 38560, 39524, 40488, 41452, 42416, 43380, 44344, 45308, 46272, 47236, 48200, 49164, 50128, 51092, 52056, 53020, 53984, 54948, 55912, 56876, 57840, 58804, 59768, 60732, 61696, 62660, 63624, 64588, 65552, 66516, 67480, 68444, 69408, 70372, 71336, 72300, 73264, 74228, 75192, 76156, 77120, 78084, 79048, 80012, 80976, 81940, 82904, 83868, 84832, 85796, 86760, 87724, 88688, 89652, 90616, 91580, 92544, 93508, 94472, 95436, 96400, 97364, 98328, 99292

There is a total of 103 numbers (up to 100000) that are divisible by 964.
The sum of these numbers is 5163184.
The arithmetic mean of these numbers is 50128.

How to find the numbers divisible by 964?

Finding all the numbers that can be divided by 964 is essentially the same as searching for the multiples of 964: if a number N is a multiple of 964, then 964 is a divisor of N.

Indeed, if we assume that N is a multiple of 964, this means there exists an integer k such that:

$k \times 964 = N$

Conversely, the result of N divided by 964 is this same integer k (without any remainder):

$k = \frac{N}{964}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 964 (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 964 less than 100000):

1 × 964 = 964
2 × 964 = 1928
3 × 964 = 2892
...
102 × 964 = 98328
103 × 964 = 99292