# 36th Mersenne prime M2976221 supports Collatz conjecture

During April 14 – May 29, 2017 our “3000 Collatz Tester” tested the 36th Mersenne prime M2976221 for being in agreement with Collatz conjecture and supported it.

M2976221 required 40055567 steps to get from 6.23*10895931 to 1. In the process the sequence took 5952451 first steps to expand by 8.06*10524086 times.

Full statistics for M2976221 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M2976221 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 6.233401E+895931
DIGITS in NUMBER(N) = 895932
BITS in NUMBER(N) = 2976221
MAXIMUM(N) = 5.025486E+1420018
DIGITS in MAXIMUM(N) = 1420019
BITS in MAXIMUM(N) = 4717201
STEPS to MAXIMUM(N) = 5952451
BASIC EXPANSION(N) = 8.062189E+524086
DIGITS in BASIC EXPANSION(N) = 524087
BITS in BASIC EXPANSION(N) = 1740980
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 18570524 (46.0%)
EVEN(N) = 25711318 (64.2%)
ODD(N) = 14344249 (35.8%)
DELAY(N) = 40055567 (100.0%)
COMPLETENESS(N) = 0.557896
RESIDUE(N) = 1.176085
GAMMA(N) = 12.463319
STRENGTH(N) = -5412709
LEVEL(N) = 676589

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

The next number that we test will be the 37th Mersenne prime M3021377.