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*10¹³³⁹⁴ to 1. In the process the sequence took 89015 first steps to expand by 1.64*10⁷⁸³⁶ 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.