Оn March 21, 2017 our “3000 Collatz Tester” tested the 28th Mersenne prime M86243 for being in agreement with Collatz conjecture and supported it.

M86243 required 1158876 steps to get from 5.37*10²⁵⁹⁶¹ to 1. In the process the sequence took 172485 first steps to expand by 8.70*10¹⁵¹⁸⁶ times.

Full statistics for М86243 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M86243 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 5.369280E+25961
DIGITS in NUMBER(N) = 25962
BITS in NUMBER(N) = 86243
MAXIMUM(N) = 4.670902E+41148
DIGITS in MAXIMUM(N) = 41149
BITS in MAXIMUM(N) = 136693
STEPS to MAXIMUM(N) = 172485
BASIC EXPANSION(N) = 8.699309E+15186
DIGITS in BASIC EXPANSION(N) = 15187
BITS in BASIC EXPANSION(N) = 50450
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 529297 (45.0%)
EVEN(N) = 743925 (64.2%)
ODD(N) = 414951 (35.8%)
DELAY(N) = 1158876 (100.0%)
COMPLETENESS(N) = 0.557786
RESIDUE(N) = 1.169071
GAMMA(N) = 12.444568
STRENGTH(N) = -157020
LEVEL(N) = 19628

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

The next number that we test will be the 29th Mersenne prime M110503.