What are the numbers divisible by 738?

738, 1476, 2214, 2952, 3690, 4428, 5166, 5904, 6642, 7380, 8118, 8856, 9594, 10332, 11070, 11808, 12546, 13284, 14022, 14760, 15498, 16236, 16974, 17712, 18450, 19188, 19926, 20664, 21402, 22140, 22878, 23616, 24354, 25092, 25830, 26568, 27306, 28044, 28782, 29520, 30258, 30996, 31734, 32472, 33210, 33948, 34686, 35424, 36162, 36900, 37638, 38376, 39114, 39852, 40590, 41328, 42066, 42804, 43542, 44280, 45018, 45756, 46494, 47232, 47970, 48708, 49446, 50184, 50922, 51660, 52398, 53136, 53874, 54612, 55350, 56088, 56826, 57564, 58302, 59040, 59778, 60516, 61254, 61992, 62730, 63468, 64206, 64944, 65682, 66420, 67158, 67896, 68634, 69372, 70110, 70848, 71586, 72324, 73062, 73800, 74538, 75276, 76014, 76752, 77490, 78228, 78966, 79704, 80442, 81180, 81918, 82656, 83394, 84132, 84870, 85608, 86346, 87084, 87822, 88560, 89298, 90036, 90774, 91512, 92250, 92988, 93726, 94464, 95202, 95940, 96678, 97416, 98154, 98892, 99630

There is a total of 135 numbers (up to 100000) that are divisible by 738.
The sum of these numbers is 6774840.
The arithmetic mean of these numbers is 50184.

How to find the numbers divisible by 738?

Finding all the numbers that can be divided by 738 is essentially the same as searching for the multiples of 738: if a number N is a multiple of 738, then 738 is a divisor of N.

Indeed, if we assume that N is a multiple of 738, this means there exists an integer k such that:

$k \times 738 = N$

Conversely, the result of N divided by 738 is this same integer k (without any remainder):

$k = \frac{N}{738}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 738 (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 738 less than 100000):

1 × 738 = 738
2 × 738 = 1476
3 × 738 = 2214
...
134 × 738 = 98892
135 × 738 = 99630