C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN: 9781337102087
Author: D. S. Malik
Publisher: Cengage Learning
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Suppose that the first number of a sequence is x, where x is an integer. Define  a0= x; an+1=an/2 if an is even; an+1= 3*an +1 if an is odd. Then there exists an integer K such that ak=1. Write a Program that prompts the user to input the value of x. The program outputs the integer K such that ak=1 and the numbers a0, a1,  a2,………..,  ak.. (For example, if x=75,  then K=14, and the numbers a0, a1,  a2,………..,  a14, respectively, are 75,226,113,340,170,85,256,128,64,32,16,8,4,2,1. ) Enhance your program from part a by outputting the position of the largest number and the largest number of the sequence a0, a1,  a2,………..,  ak.. (For example, the largest number of the sequence 75,226,113,340,170,85,256,128,64,32,16,8,4,2,1 is 340 and its position is 4. )
Write a program that reads an integer and displays all its smallest factors in an increasing order. For example, if the input integer is 120, the output should be as follows: 2, 2, 2, 3, 5.
Write a program that inputs a number and checks whether it is a perfect number or not. A perfect number is the number that is numerically equal to the sum of its divisors. For example, 6 is a perfect number because the divisors of 6 are 1, 2, 3 and 1+2+3=6
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