# 37th Mersenne prime M3021377 supports Collatz conjecture

On July 17th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 37th Mersenne prime M3021377 for being in agreement with Collatz conjecture and supported it.

M3021377 required 40663017 steps to get from 1.27*10909525 to 1. In the process the sequence took 6042753 first steps to expand by 2.40*10532038 times.

Full statistics for M3021377 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M3021377 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 1.274117E+909525
DIGITS in NUMBER(N) = 909526
BITS in NUMBER(N) = 3021377
MAXIMUM(N) = 3.063734E+1441563
DIGITS in MAXIMUM(N) = 1441564
BITS in MAXIMUM(N) = 4788771
STEPS to MAXIMUM(N) = 6042753
BASIC EXPANSION(N) = 2.404595E+532038
DIGITS in BASIC EXPANSION(N) = 532039
BITS in BASIC EXPANSION(N) = 1767394
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 18807591 (46.3%)
EVEN(N) = 26101243 (64.2%)
ODD(N) = 14561774 (35.8%)
DELAY(N) = 40663017 (100.0%)
COMPLETENESS(N) = 0.557896
RESIDUE(N) = 1.202490E+0
GAMMA(N) = 12.463236
STRENGTH(N) = -5494859
LEVEL(N) = 686858

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

The next number that we test will be the 38th Mersenne prime M6972593.