Calculate collatz

Anchor-Based Formulas for 7 mod 8 To predict the behavior of sequences starting in 7 mod 8, we introduce a variable g = (n + 1) / 8, where n ∈ 7 mod 8. If (n+1)/8 is odd its g If even divide it with 2 until it hit odd g = 3(times you divide).d (the odd number you get after dividing) Example. If (n+1)/8 is 56 56= 2*2*2*7 g = 3^3*7We have derived the following working formulas: Class: 3mod4 (in7mod8) If g = 3mod4 x = (27g-1)/4 Then, divide x by 2 repeatedly until an odd number is reached. This is the first value sequence will attain after its first visit of 5mod8 class always smaller than the value we started with it will be true for other 2 formulas as well. To calculate the the the starting value v=8g-1 We consider the starting value the point where our calculated anchor point exsist i will further write on anchor points . Class: 1 mod 16 (in 7 mod 8)If g ≡ 1 mod 16: x = (81g - 1) / 16Then, divide x by 2 repeatedly until an odd number is reached.Class: 5 mod 32 (in 7 mod 8)If g ≡ 5 mod 32: x = (243g + 1) / 32Then divide x by 2 repeatedly until an odd number is reached.These formulas are fully testable and yield deterministic values. *These formula also skip the loops a number might take in 7mod8 class before hitting 5mod8 class for first time, also its orbit in 3mod8 and 1mod8 class. Note: The frame work on proof is complete. N+1/4 main function