What are the numbers divisible by 759?

759, 1518, 2277, 3036, 3795, 4554, 5313, 6072, 6831, 7590, 8349, 9108, 9867, 10626, 11385, 12144, 12903, 13662, 14421, 15180, 15939, 16698, 17457, 18216, 18975, 19734, 20493, 21252, 22011, 22770, 23529, 24288, 25047, 25806, 26565, 27324, 28083, 28842, 29601, 30360, 31119, 31878, 32637, 33396, 34155, 34914, 35673, 36432, 37191, 37950, 38709, 39468, 40227, 40986, 41745, 42504, 43263, 44022, 44781, 45540, 46299, 47058, 47817, 48576, 49335, 50094, 50853, 51612, 52371, 53130, 53889, 54648, 55407, 56166, 56925, 57684, 58443, 59202, 59961, 60720, 61479, 62238, 62997, 63756, 64515, 65274, 66033, 66792, 67551, 68310, 69069, 69828, 70587, 71346, 72105, 72864, 73623, 74382, 75141, 75900, 76659, 77418, 78177, 78936, 79695, 80454, 81213, 81972, 82731, 83490, 84249, 85008, 85767, 86526, 87285, 88044, 88803, 89562, 90321, 91080, 91839, 92598, 93357, 94116, 94875, 95634, 96393, 97152, 97911, 98670, 99429

There is a total of 131 numbers (up to 100000) that are divisible by 759.
The sum of these numbers is 6562314.
The arithmetic mean of these numbers is 50094.

How to find the numbers divisible by 759?

Finding all the numbers that can be divided by 759 is essentially the same as searching for the multiples of 759: if a number N is a multiple of 759, then 759 is a divisor of N.

Indeed, if we assume that N is a multiple of 759, this means there exists an integer k such that:

$k \times 759 = N$

Conversely, the result of N divided by 759 is this same integer k (without any remainder):

$k = \frac{N}{759}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 759 (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 759 less than 100000):

1 × 759 = 759
2 × 759 = 1518
3 × 759 = 2277
...
130 × 759 = 98670
131 × 759 = 99429