Decoding a Captcha

[BlackHat]

So I was trying to register somewhere and got this -->

 

Quote

For all the comma seperated numbers from this morse code "..--- ----· ---.. --..-- ....- ----· ---.. --..-- .---- ----- ---.. --..-- ....- ----- ----- --..-- ...-- --... -.... --..-- .---- .---- ---.. ", find for each number the amount of iterations required to reach 1, as if the number was used to start the sequence in the Collatz conjecture. The solution to the challenge is the sum of all the resulting numbers.
The Collatz conjecture concerns a sequence that starts with any positive number n. Each next term is obtained using the following rules: If n is even, divide it by 2. If n is odd, multiply it by 3 and add 1. The conjecture states that repeating this process will result in the sequence converging to the number 1. For example the number 13 requires 9 iterations to reach 1, namely: [40, 20, 10, 5, 16, 8, 4, 2, 1].

anyone can help me to solve this ?? What he actually wants to say here?
The question is not clear and english is terrible tbh to understand. Thank god this guy (Who made captcha) is not a teacher otherwise probably students like me gonna fail. 

Edited January 18, 2020 by BlackHat

[Kurapica]

The morse code translates to "298,498,108,400,376,118"

so you will have to calc the Collatz conjecture  for each one of those numbers

298 :  149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1

498 : 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1

108 : 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1

 

400 : 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1

376 : 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1

118 : 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1

 

but It's not clear what is needed to be summed, the whole sequences or the number of elements in each sequence or ?

[ToMKoL]

Read it carefully and try to understand. It looks complicated but shouldn't be. Almost all work is done by Kurapica. Now what is left is:

Quote

find for each number the amount of iterations required to reach 1, as if the number was used to start the sequence in the Collatz conjecture. The solution to the challenge is the sum of all the resulting numbers.

Just count the number of iterations needed to reach 1 as in example.

298 - 24 iterations

498 - 48 iterations

108 - 114 iterations

400 - 27 iterations

376 - 107 iterations

118 - 33 iterations

Now sum all iterations together and we have result. 24 + 48 +114 + 27 + 107 + 33 = 353 If I understood this riddle correctly then Your answer is 353. Try it and tell us if it worked.

[BlackHat]

1 hour ago, ToMKoL said:

Read it carefully and try to understand. It looks complicated but shouldn't be. Almost all work is done by Kurapica. Now what is left is:

Just count the number of iterations needed to reach 1 as in example.

298 - 24 iterations

498 - 48 iterations

108 - 114 iterations

400 - 27 iterations

376 - 107 iterations

118 - 33 iterations

Now sum all iterations together and we have result. 24 + 48 +114 + 27 + 107 + 33 = 353 If I understood this riddle correctly then Your answer is 353. Try it and tell us if it worked.

Yes it worked !!!

[ToMKoL]

I'm glad that it worked for You.