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Is it possible to use ten digits 1,2,3,4,5,6,7,8,9 and 0 to construct a ten-digit number divisible (without a remainder) by all the numbers from 2 to 18?
Take any positive whole number not greater than 50. If the number is even, divide it by two. If the number is odd, multiply it by 3, and add 1 to the result. Apply the same method to the resulting number, and continue in this way forming a chain of numbers untill you finally arrive at the number 1.Shown below is a chain of numbers that results from this method if you begin with 15: 15 - 46 - 23 - 70 - 35 - 106 - 53 - 160 - 80 - 40 - 20 - 10 - 5 - 16 - 8 - 4 - 2 - 1. As you can see, the number 15 requires 17 steps to end up at 1. Of the numbers not greater then 50, which takes the longest to reach the number 1?
The Continental Divide, also called the Great Divide, divides what continent?
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