What are the numbers divisible by 742?

742, 1484, 2226, 2968, 3710, 4452, 5194, 5936, 6678, 7420, 8162, 8904, 9646, 10388, 11130, 11872, 12614, 13356, 14098, 14840, 15582, 16324, 17066, 17808, 18550, 19292, 20034, 20776, 21518, 22260, 23002, 23744, 24486, 25228, 25970, 26712, 27454, 28196, 28938, 29680, 30422, 31164, 31906, 32648, 33390, 34132, 34874, 35616, 36358, 37100, 37842, 38584, 39326, 40068, 40810, 41552, 42294, 43036, 43778, 44520, 45262, 46004, 46746, 47488, 48230, 48972, 49714, 50456, 51198, 51940, 52682, 53424, 54166, 54908, 55650, 56392, 57134, 57876, 58618, 59360, 60102, 60844, 61586, 62328, 63070, 63812, 64554, 65296, 66038, 66780, 67522, 68264, 69006, 69748, 70490, 71232, 71974, 72716, 73458, 74200, 74942, 75684, 76426, 77168, 77910, 78652, 79394, 80136, 80878, 81620, 82362, 83104, 83846, 84588, 85330, 86072, 86814, 87556, 88298, 89040, 89782, 90524, 91266, 92008, 92750, 93492, 94234, 94976, 95718, 96460, 97202, 97944, 98686, 99428

There is a total of 134 numbers (up to 100000) that are divisible by 742.
The sum of these numbers is 6711390.
The arithmetic mean of these numbers is 50085.

How to find the numbers divisible by 742?

Finding all the numbers that can be divided by 742 is essentially the same as searching for the multiples of 742: if a number N is a multiple of 742, then 742 is a divisor of N.

Indeed, if we assume that N is a multiple of 742, this means there exists an integer k such that:

$k \times 742 = N$

Conversely, the result of N divided by 742 is this same integer k (without any remainder):

$k = \frac{N}{742}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 742 (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 742 less than 100000):

1 × 742 = 742
2 × 742 = 1484
3 × 742 = 2226
...
133 × 742 = 98686
134 × 742 = 99428