Оn March 23, 2017 our “3000 Collatz Tester” tested the 30th Mersenne prime M132049 for being in agreement with Collatz conjecture and supported it.

M132049 required 1771117 steps to get from 5.13*10³⁹⁷⁵⁰ to 1. In the process the sequence took 264115 first steps to expand by 1.01*10²³²⁵³ times.

Full statistics for М132049 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M132049 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 5.127403E+39750
DIGITS in NUMBER(N) = 39751
BITS in NUMBER(N) = 132049
MAXIMUM(N) = 5.177419E+63003
DIGITS in MAXIMUM(N) = 63004
BITS in MAXIMUM(N) = 209294
STEPS to MAXIMUM(N) = 264115
BASIC EXPANSION(N) = 1.009755E+23253
DIGITS in BASIC EXPANSION(N) = 23254
BITS in BASIC EXPANSION(N) = 77245
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 818438 (46.0%)
EVEN(N) = 1137039 (64.2%)
ODD(N) = 634078 (35.8%)
DELAY(N) = 1771117 (100.0%)
COMPLETENESS(N) = 0.557657
RESIDUE(N) = 1.107623
GAMMA(N) = 12.422665
STRENGTH(N) = -240727
LEVEL(N) = 30091

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

The next number that we test will be the 31th Mersenne prime M216091.