On March 20, 2017 our “3000 Collatz Tester” tested the 27th Mersenne prime M44497 for being in agreement with Collatz conjecture and supported it.

M44497 required 598067 steps to get from 8.55*10^{13394} to 1. In the process the sequence took 89015 first steps to expand by 1.64*10^{7836} times.

Full statistics for М44497 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M44497 HAS THE FOLLOWING STATISTICS:

NUMBER(N) = 8.545098E+13394

DIGITS in NUMBER(N) = 13395

BITS in NUMBER(N) = 44497

MAXIMUM(N) = 1.400240E+21231

DIGITS in MAXIMUM(N) = 21232

BITS in MAXIMUM(N) = 70529

STEPS to MAXIMUM(N) = 89015

BASIC EXPANSION(N) = 1.638648E+7836

DIGITS in BASIC EXPANSION(N) = 7837

BITS in BASIC EXPANSION(N) = 26032

EXPANSION(N) = 0.000000E+0

DIGITS in EXPANSION(N) = 0

BITS in EXPANSION(N) = 0

GLIDE(N) = 276840 (46.0%)

EVEN(N) = 383917 (64.2%)

ODD(N) = 214150 (35.8%)

DELAY(N) = 598067 (100.0%)

COMPLETENESS(N) = 0.557803

RESIDUE(N) = 1.214590

GAMMA(N) = 12.447472

STRENGTH(N) = -81001

LEVEL(N) = 10126

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

The next number that we test will be the 28th Mersenne prime M86243.