What are the numbers divisible by 956?

956, 1912, 2868, 3824, 4780, 5736, 6692, 7648, 8604, 9560, 10516, 11472, 12428, 13384, 14340, 15296, 16252, 17208, 18164, 19120, 20076, 21032, 21988, 22944, 23900, 24856, 25812, 26768, 27724, 28680, 29636, 30592, 31548, 32504, 33460, 34416, 35372, 36328, 37284, 38240, 39196, 40152, 41108, 42064, 43020, 43976, 44932, 45888, 46844, 47800, 48756, 49712, 50668, 51624, 52580, 53536, 54492, 55448, 56404, 57360, 58316, 59272, 60228, 61184, 62140, 63096, 64052, 65008, 65964, 66920, 67876, 68832, 69788, 70744, 71700, 72656, 73612, 74568, 75524, 76480, 77436, 78392, 79348, 80304, 81260, 82216, 83172, 84128, 85084, 86040, 86996, 87952, 88908, 89864, 90820, 91776, 92732, 93688, 94644, 95600, 96556, 97512, 98468, 99424

There is a total of 104 numbers (up to 100000) that are divisible by 956.
The sum of these numbers is 5219760.
The arithmetic mean of these numbers is 50190.

How to find the numbers divisible by 956?

Finding all the numbers that can be divided by 956 is essentially the same as searching for the multiples of 956: if a number N is a multiple of 956, then 956 is a divisor of N.

Indeed, if we assume that N is a multiple of 956, this means there exists an integer k such that:

$k \times 956 = N$

Conversely, the result of N divided by 956 is this same integer k (without any remainder):

$k = \frac{N}{956}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 956 (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 956 less than 100000):

1 × 956 = 956
2 × 956 = 1912
3 × 956 = 2868
...
103 × 956 = 98468
104 × 956 = 99424