What are the numbers divisible by 747?

747, 1494, 2241, 2988, 3735, 4482, 5229, 5976, 6723, 7470, 8217, 8964, 9711, 10458, 11205, 11952, 12699, 13446, 14193, 14940, 15687, 16434, 17181, 17928, 18675, 19422, 20169, 20916, 21663, 22410, 23157, 23904, 24651, 25398, 26145, 26892, 27639, 28386, 29133, 29880, 30627, 31374, 32121, 32868, 33615, 34362, 35109, 35856, 36603, 37350, 38097, 38844, 39591, 40338, 41085, 41832, 42579, 43326, 44073, 44820, 45567, 46314, 47061, 47808, 48555, 49302, 50049, 50796, 51543, 52290, 53037, 53784, 54531, 55278, 56025, 56772, 57519, 58266, 59013, 59760, 60507, 61254, 62001, 62748, 63495, 64242, 64989, 65736, 66483, 67230, 67977, 68724, 69471, 70218, 70965, 71712, 72459, 73206, 73953, 74700, 75447, 76194, 76941, 77688, 78435, 79182, 79929, 80676, 81423, 82170, 82917, 83664, 84411, 85158, 85905, 86652, 87399, 88146, 88893, 89640, 90387, 91134, 91881, 92628, 93375, 94122, 94869, 95616, 96363, 97110, 97857, 98604, 99351

There is a total of 133 numbers (up to 100000) that are divisible by 747.
The sum of these numbers is 6656517.
The arithmetic mean of these numbers is 50049.

How to find the numbers divisible by 747?

Finding all the numbers that can be divided by 747 is essentially the same as searching for the multiples of 747: if a number N is a multiple of 747, then 747 is a divisor of N.

Indeed, if we assume that N is a multiple of 747, this means there exists an integer k such that:

$k \times 747 = N$

Conversely, the result of N divided by 747 is this same integer k (without any remainder):

$k = \frac{N}{747}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 747 (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 747 less than 100000):

1 × 747 = 747
2 × 747 = 1494
3 × 747 = 2241
...
132 × 747 = 98604
133 × 747 = 99351