# 26th Mersenne prime M23209 supports Collatz conjecture

On March 19, 2017 our “3000 Collatz Tester” tested the 26th Mersenne prime M23209 for being in agreement with Collatz conjecture and supported it.

M23209 required 312164 steps to get from 4.03*106986 to 1. In the process the sequence took 46417 first steps to expand by 1.60*104087 times.

Full statistics for М23209 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M23209 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 4.028741E+6986
DIGITS in NUMBER(N) = 6987
BITS in NUMBER(N) = 23209
MAXIMUM(N) = 6.430293E+11073
DIGITS in MAXIMUM(N) = 11074
BITS in MAXIMUM(N) = 36787
STEPS to MAXIMUM(N) = 46417
BASIC EXPANSION(N) = 1.596105E+4087
DIGITS in BASIC EXPANSION(N) = 4088
BITS in BASIC EXPANSION(N) = 13578
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 145216 (46.0%)
EVEN(N) = 200381 (64.2%)
ODD(N) = 111783 (35.8%)
DELAY(N) = 312164 (100.0%)
COMPLETENESS(N) = 0.557852
RESIDUE(N) = 1.099449
GAMMA(N) = 12.455887
STRENGTH(N) = -42228
LEVEL(N) = 5279

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

The next number that we test will be the 27th Mersenne prime M44497.