What are the numbers divisible by 744?

744, 1488, 2232, 2976, 3720, 4464, 5208, 5952, 6696, 7440, 8184, 8928, 9672, 10416, 11160, 11904, 12648, 13392, 14136, 14880, 15624, 16368, 17112, 17856, 18600, 19344, 20088, 20832, 21576, 22320, 23064, 23808, 24552, 25296, 26040, 26784, 27528, 28272, 29016, 29760, 30504, 31248, 31992, 32736, 33480, 34224, 34968, 35712, 36456, 37200, 37944, 38688, 39432, 40176, 40920, 41664, 42408, 43152, 43896, 44640, 45384, 46128, 46872, 47616, 48360, 49104, 49848, 50592, 51336, 52080, 52824, 53568, 54312, 55056, 55800, 56544, 57288, 58032, 58776, 59520, 60264, 61008, 61752, 62496, 63240, 63984, 64728, 65472, 66216, 66960, 67704, 68448, 69192, 69936, 70680, 71424, 72168, 72912, 73656, 74400, 75144, 75888, 76632, 77376, 78120, 78864, 79608, 80352, 81096, 81840, 82584, 83328, 84072, 84816, 85560, 86304, 87048, 87792, 88536, 89280, 90024, 90768, 91512, 92256, 93000, 93744, 94488, 95232, 95976, 96720, 97464, 98208, 98952, 99696

There is a total of 134 numbers (up to 100000) that are divisible by 744.
The sum of these numbers is 6729480.
The arithmetic mean of these numbers is 50220.

How to find the numbers divisible by 744?

Finding all the numbers that can be divided by 744 is essentially the same as searching for the multiples of 744: if a number N is a multiple of 744, then 744 is a divisor of N.

Indeed, if we assume that N is a multiple of 744, this means there exists an integer k such that:

$k \times 744 = N$

Conversely, the result of N divided by 744 is this same integer k (without any remainder):

$k = \frac{N}{744}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 744 (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 744 less than 100000):

1 × 744 = 744
2 × 744 = 1488
3 × 744 = 2232
...
133 × 744 = 98952
134 × 744 = 99696