33rd Mersenne prime M859433 supports Collatz conjecture

During March 28-31, 2017 our “3000 Collatz Tester” tested the 33rd Mersenne prime M859433 for being in agreement with Collatz conjecture and supported it.

M859433 required 11568589 steps to get from 1.29*10258715 to 1. In the process the sequence took 1718865 first steps to expand by 8.71*10151338 times.

Full statistics for M859433 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M859433 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 1.294981E+258715
DIGITS in NUMBER(N) = 258716
BITS in NUMBER(N) = 859433
MAXIMUM(N) = 1.128074E+410054
DIGITS in MAXIMUM(N) = 410055
BITS in MAXIMUM(N) = 1362171
STEPS to MAXIMUM(N) = 1718865
BASIC EXPANSION(N) = 8.711120E+151338
DIGITS in BASIC EXPANSION(N) = 151339
BITS in BASIC EXPANSION(N) = 502738
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 5345886 (46.0%)
EVEN(N) = 7425722 (64.2%)
ODD(N) = 4142867 (35.8%)
DELAY(N) = 11568589 (100.0%)
COMPLETENESS(N) = 0.557908
RESIDUE(N) = 1.116919
GAMMA(N) = 12.465256
STRENGTH(N) = -1562831
LEVEL(N) = 195354

The definitions for presented parameters are given at Eric Roosendaal’s site.

The next number that we test will be the 34th Mersenne prime M1257787.