What are the numbers divisible by 757?

757, 1514, 2271, 3028, 3785, 4542, 5299, 6056, 6813, 7570, 8327, 9084, 9841, 10598, 11355, 12112, 12869, 13626, 14383, 15140, 15897, 16654, 17411, 18168, 18925, 19682, 20439, 21196, 21953, 22710, 23467, 24224, 24981, 25738, 26495, 27252, 28009, 28766, 29523, 30280, 31037, 31794, 32551, 33308, 34065, 34822, 35579, 36336, 37093, 37850, 38607, 39364, 40121, 40878, 41635, 42392, 43149, 43906, 44663, 45420, 46177, 46934, 47691, 48448, 49205, 49962, 50719, 51476, 52233, 52990, 53747, 54504, 55261, 56018, 56775, 57532, 58289, 59046, 59803, 60560, 61317, 62074, 62831, 63588, 64345, 65102, 65859, 66616, 67373, 68130, 68887, 69644, 70401, 71158, 71915, 72672, 73429, 74186, 74943, 75700, 76457, 77214, 77971, 78728, 79485, 80242, 80999, 81756, 82513, 83270, 84027, 84784, 85541, 86298, 87055, 87812, 88569, 89326, 90083, 90840, 91597, 92354, 93111, 93868, 94625, 95382, 96139, 96896, 97653, 98410, 99167, 99924

There is a total of 132 numbers (up to 100000) that are divisible by 757.
The sum of these numbers is 6644946.
The arithmetic mean of these numbers is 50340.5.

How to find the numbers divisible by 757?

Finding all the numbers that can be divided by 757 is essentially the same as searching for the multiples of 757: if a number N is a multiple of 757, then 757 is a divisor of N.

Indeed, if we assume that N is a multiple of 757, this means there exists an integer k such that:

$k \times 757 = N$

Conversely, the result of N divided by 757 is this same integer k (without any remainder):

$k = \frac{N}{757}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 757 (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 757 less than 100000):

1 × 757 = 757
2 × 757 = 1514
3 × 757 = 2271
...
131 × 757 = 99167
132 × 757 = 99924