What are the numbers divisible by 726?

726, 1452, 2178, 2904, 3630, 4356, 5082, 5808, 6534, 7260, 7986, 8712, 9438, 10164, 10890, 11616, 12342, 13068, 13794, 14520, 15246, 15972, 16698, 17424, 18150, 18876, 19602, 20328, 21054, 21780, 22506, 23232, 23958, 24684, 25410, 26136, 26862, 27588, 28314, 29040, 29766, 30492, 31218, 31944, 32670, 33396, 34122, 34848, 35574, 36300, 37026, 37752, 38478, 39204, 39930, 40656, 41382, 42108, 42834, 43560, 44286, 45012, 45738, 46464, 47190, 47916, 48642, 49368, 50094, 50820, 51546, 52272, 52998, 53724, 54450, 55176, 55902, 56628, 57354, 58080, 58806, 59532, 60258, 60984, 61710, 62436, 63162, 63888, 64614, 65340, 66066, 66792, 67518, 68244, 68970, 69696, 70422, 71148, 71874, 72600, 73326, 74052, 74778, 75504, 76230, 76956, 77682, 78408, 79134, 79860, 80586, 81312, 82038, 82764, 83490, 84216, 84942, 85668, 86394, 87120, 87846, 88572, 89298, 90024, 90750, 91476, 92202, 92928, 93654, 94380, 95106, 95832, 96558, 97284, 98010, 98736, 99462

There is a total of 137 numbers (up to 100000) that are divisible by 726.
The sum of these numbers is 6862878.
The arithmetic mean of these numbers is 50094.

How to find the numbers divisible by 726?

Finding all the numbers that can be divided by 726 is essentially the same as searching for the multiples of 726: if a number N is a multiple of 726, then 726 is a divisor of N.

Indeed, if we assume that N is a multiple of 726, this means there exists an integer k such that:

$k \times 726 = N$

Conversely, the result of N divided by 726 is this same integer k (without any remainder):

$k = \frac{N}{726}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 726 (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 726 less than 100000):

1 × 726 = 726
2 × 726 = 1452
3 × 726 = 2178
...
136 × 726 = 98736
137 × 726 = 99462