# 38th Mersenne prime M6972593 supports Collatz conjecture

On July 18th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 38th Mersenne prime M6972593 for being in agreement with Collatz conjecture and supported it.

M6972593 required 93778449 steps to get from 4.37*102098959 to 1. In the process the sequence took 13945185 first steps to expand by 9.58*101227812 times.

Full statistics for M6972593 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M6972593 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 4.370757E+2098959
DIGITS in NUMBER(N) = 2098960
BITS in NUMBER(N) = 6972593
MAXIMUM(N) = 4.186389E+3326772
DIGITS in MAXIMUM(N) = 3326773
BITS in MAXIMUM(N) = 11051300
STEPS to MAXIMUM(N) = 13945185
BASIC EXPANSION(N) = 9.578176E+1227812
DIGITS in BASIC EXPANSION(N) = 1227813
BITS in BASIC EXPANSION(N) = 4078707
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 43405398 (46.3%)
EVEN(N) = 60197360 (64.2%)
ODD(N) = 33581089 (35.8%)
DELAY(N) = 93778449 (100.0%)
COMPLETENESS(N) = 0.557850
RESIDUE(N) = 1.149990E+0
GAMMA(N) = 12.455400
STRENGTH(N) = -12686635
LEVEL(N) = 1585830

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

The next number that we test will be the 39th Mersenne prime M13466917.