# 32nd Mersenne prime M756839 supports Collatz conjecture

During March 25-28, 2017 our “3000 Collatz Tester” tested the 32nd Mersenne prime M756839 for being in agreement with Collatz conjecture and supported it.

M756839 required 10197081 steps to get from 1.74*10227831 to 1. In the process the sequence took 1513677 first steps to expand by 1.08*10133273 times.

Full statistics for M756839 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M756839 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 1.741359E+227831
DIGITS in NUMBER(N) = 227832
BITS in NUMBER(N) = 756839
MAXIMUM(N) = 1.880749E+361104
DIGITS in MAXIMUM(N) = 361105
BITS in MAXIMUM(N) = 1199563
STEPS to MAXIMUM(N) = 1513677
BASIC EXPANSION(N) = 1.080046E+133273
DIGITS in BASIC EXPANSION(N) = 133274
BITS in BASIC EXPANSION(N) = 442724
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 4719201 (46.0%)
EVEN(N) = 6545097 (64.2%)
ODD(N) = 3651984 (35.8%)
DELAY(N) = 10197081 (100.0%)
COMPLETENESS(N) = 0.557972
RESIDUE(N) = 1.236932
GAMMA(N) = 12.476338
STRENGTH(N) = -1375371
LEVEL(N) = 171922

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

The next number that we test will be the 33rd Mersenne prime M859433.