What are the numbers divisible by 722?

722, 1444, 2166, 2888, 3610, 4332, 5054, 5776, 6498, 7220, 7942, 8664, 9386, 10108, 10830, 11552, 12274, 12996, 13718, 14440, 15162, 15884, 16606, 17328, 18050, 18772, 19494, 20216, 20938, 21660, 22382, 23104, 23826, 24548, 25270, 25992, 26714, 27436, 28158, 28880, 29602, 30324, 31046, 31768, 32490, 33212, 33934, 34656, 35378, 36100, 36822, 37544, 38266, 38988, 39710, 40432, 41154, 41876, 42598, 43320, 44042, 44764, 45486, 46208, 46930, 47652, 48374, 49096, 49818, 50540, 51262, 51984, 52706, 53428, 54150, 54872, 55594, 56316, 57038, 57760, 58482, 59204, 59926, 60648, 61370, 62092, 62814, 63536, 64258, 64980, 65702, 66424, 67146, 67868, 68590, 69312, 70034, 70756, 71478, 72200, 72922, 73644, 74366, 75088, 75810, 76532, 77254, 77976, 78698, 79420, 80142, 80864, 81586, 82308, 83030, 83752, 84474, 85196, 85918, 86640, 87362, 88084, 88806, 89528, 90250, 90972, 91694, 92416, 93138, 93860, 94582, 95304, 96026, 96748, 97470, 98192, 98914, 99636

There is a total of 138 numbers (up to 100000) that are divisible by 722.
The sum of these numbers is 6924702.
The arithmetic mean of these numbers is 50179.

How to find the numbers divisible by 722?

Finding all the numbers that can be divided by 722 is essentially the same as searching for the multiples of 722: if a number N is a multiple of 722, then 722 is a divisor of N.

Indeed, if we assume that N is a multiple of 722, this means there exists an integer k such that:

$k \times 722 = N$

Conversely, the result of N divided by 722 is this same integer k (without any remainder):

$k = \frac{N}{722}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 722 (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 722 less than 100000):

1 × 722 = 722
2 × 722 = 1444
3 × 722 = 2166
...
137 × 722 = 98914
138 × 722 = 99636