# 39th Mersenne prime M13466917 supports Collatz conjecture

On July 19th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 39th Mersenne prime M13466917 for being in agreement with Collatz conjecture and supported it.

M13466917 required 181209792 steps to get from 9.25*104053945 to 1. In the process the sequence took 26933833 first steps to expand by 4.69*102371406 times.

Full statistics for M13466917 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M13466917 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 9.249477E+4053945
DIGITS in NUMBER(N) = 4053946
BITS in NUMBER(N) = 13466917
MAXIMUM(N) = 4.337860E+6425352
DIGITS in MAXIMUM(N) = 6425353
BITS in MAXIMUM(N) = 21344560
STEPS to MAXIMUM(N) = 26933833
BASIC EXPANSION(N) = 4.689844E+2371406
DIGITS in BASIC EXPANSION(N) = 2371407
BITS in BASIC EXPANSION(N) = 7877643
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 83896060 (46.3%)
EVEN(N) = 116317990 (64.2%)
ODD(N) = 64891802 (35.8%)
DELAY(N) = 181209792 (100.0%)
COMPLETENESS(N) = 0.557883
RESIDUE(N) = 1.169410E+0
GAMMA(N) = 12.461010
STRENGTH(N) = -24494960
LEVEL(N) = 3061871

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

The next number that we test will be the 40th Mersenne prime M20996011.