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Oh, dude, let me break it down for you. So, powers of 2 are numbers like 2, 4, 16, 32, and so on, right? But we don't want 8 in there. So, we're basically looking for all the powers of 2 except 8. That leaves us with 1, 2, 4, 16, 32, 64, 128, and so on. Just count them up until you hit a million, easy peasy.
What else can I help you with?
How many integers between 1 and 1000000 have the digital sum of 18?
There are 5390 such integers.
How many integers less than 1000 are divisible by 11?
There are 90 integers less than 1,000 that are divisible by 11.
How many positive integers less than 1000 are not divisible by 3?
666 integers.
How many positive integers smaller than 1000000 are powers of 2 but are not powers of 8 You may find it useful to consider that 2101024.?
To find the positive integers smaller than 1,000,000 that are powers of 2 but not powers of 8, we first determine the powers of 2 less than 1,000,000. The highest power of 2 less than 1,000,000 is (2^{19} = 524,288). The powers of 2 up to (2^{19}) are (2^0, 2^1, \ldots, 2^{19}), totaling 20 powers. The powers of 8 can be expressed as (2^{3k}), where (k) is a non-negative integer. The highest power of 8 below 1,000,000 is (8^{8} = 1,073,741,824), so we consider (8^0) to (8^6) (i.e., (2^{0}, 2^{3}, 2^{6}, 2^{9}, 2^{12}, 2^{15}, 2^{18})), giving us 7 powers of 8. Thus, the count of powers of 2 that are not powers of 8 is (20 - 7 = 13).
How many positive integers are less then 50?
49
How many integers between 1 and 1000000 have the digital sum of 18?
There are 5390 such integers.
How many integers less than 1000 are divisible by 11?
There are 90 integers less than 1,000 that are divisible by 11.
How many positive integers less than 1000 are not divisible by 3?
666 integers.
How many positive integers are less then 50?
49
How many integers are between 1 and 1000000?
If you include the end-points, there are 1 million of um.If you exclude the end points, there are only 999,998.
How many positive integers less than 2010 have an odd number of factors?
There are 44 positive integers less than 2,010 that have an odd number of factors.
How many positive integers are there less than 10000?
One less than 10000.
How many positive integers less than 100 can be written as sum of 9 consecutive integers?
All of them from 45 to 99 ... 55 integers.
How many composite integers are less than 50?
33: 4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49
How many positive integers less than 20 are prime?
Eight.
How many positive integers less than or equal to 100 have a prime factor that is greater than 4?
There are 80 such integers.
How many positive integers less than 200 are divisible by 2 3 5?
6
