What are the numbers divisible by 746?

746, 1492, 2238, 2984, 3730, 4476, 5222, 5968, 6714, 7460, 8206, 8952, 9698, 10444, 11190, 11936, 12682, 13428, 14174, 14920, 15666, 16412, 17158, 17904, 18650, 19396, 20142, 20888, 21634, 22380, 23126, 23872, 24618, 25364, 26110, 26856, 27602, 28348, 29094, 29840, 30586, 31332, 32078, 32824, 33570, 34316, 35062, 35808, 36554, 37300, 38046, 38792, 39538, 40284, 41030, 41776, 42522, 43268, 44014, 44760, 45506, 46252, 46998, 47744, 48490, 49236, 49982, 50728, 51474, 52220, 52966, 53712, 54458, 55204, 55950, 56696, 57442, 58188, 58934, 59680, 60426, 61172, 61918, 62664, 63410, 64156, 64902, 65648, 66394, 67140, 67886, 68632, 69378, 70124, 70870, 71616, 72362, 73108, 73854, 74600, 75346, 76092, 76838, 77584, 78330, 79076, 79822, 80568, 81314, 82060, 82806, 83552, 84298, 85044, 85790, 86536, 87282, 88028, 88774, 89520, 90266, 91012, 91758, 92504, 93250, 93996, 94742, 95488, 96234, 96980, 97726, 98472, 99218, 99964

There is a total of 134 numbers (up to 100000) that are divisible by 746.
The sum of these numbers is 6747570.
The arithmetic mean of these numbers is 50355.

How to find the numbers divisible by 746?

Finding all the numbers that can be divided by 746 is essentially the same as searching for the multiples of 746: if a number N is a multiple of 746, then 746 is a divisor of N.

Indeed, if we assume that N is a multiple of 746, this means there exists an integer k such that:

$k \times 746 = N$

Conversely, the result of N divided by 746 is this same integer k (without any remainder):

$k = \frac{N}{746}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 746 (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 746 less than 100000):

1 × 746 = 746
2 × 746 = 1492
3 × 746 = 2238
...
133 × 746 = 99218
134 × 746 = 99964