Collatz Sequence Please create a C-program with the use of looping statements and conditional statements. Please do NOT use pointers, please! :) The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani’s problem (after Shizuo Kakutani), the Thwaites conjecture (after Bryan Thwaites), Hasse’s algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers. Mathematics The Collatz function is defined for a positive integer n as follows. f(n) = 3n+1 if n is odd n/2 if n is even We consider the repeated application of the Collatz function starting with a given integer n, as follows: f(n), f(f(n)), f(f(f(n))), … It is conjectured that no matter which positive integer n you start from, this sequence eventually will have 1 in it. It has been verified to hold for numbers up to 5 × 260 [Wikipedia: Collatz Conjecture]. If n=7, the sequence is f(7) = 22 f(f(7)) = f(22) = 11 f(11) = 34 f(34) = 17 f(17) = 52 f(52) = 26 f(26) = 13 f(13) = 40 f(40) = 20 f(20) = 10 f(10) = 5 f(5) = 16 f(16) = 8 f(8) = 4 f(4) = 2 f(2) = 1 Thus if you start from n=7, you need to apply f 16 times in order to first get 1. In this question, you will be given a positive number

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Collatz Sequence Please create a C-program with the use of looping statements and conditional statements. Please do NOT use pointers, please! :) The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani’s problem (after Shizuo Kakutani), the Thwaites conjecture (after Bryan Thwaites), Hasse’s algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers. Mathematics The Collatz function is defined for a positive integer n as follows. f(n) = 3n+1 if n is odd n/2 if n is even We consider the repeated application of the Collatz function starting with a given integer n, as follows: f(n), f(f(n)), f(f(f(n))), … It is conjectured that no matter which positive integer n you start from, this sequence eventually will have 1 in it. It has been verified to hold for numbers up to 5 × 260 [Wikipedia: Collatz Conjecture]. If n=7, the sequence is f(7) = 22 f(f(7)) = f(22) = 11 f(11) = 34 f(34) = 17 f(17) = 52 f(52) = 26 f(26) = 13 f(13) = 40 f(40) = 20 f(20) = 10 f(10) = 5 f(5) = 16 f(16) = 8 f(8) = 4 f(4) = 2 f(2) = 1 Thus if you start from n=7, you need to apply f 16 times in order to first get 1. In this question, you will be given a positive number
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