A Reduced Collatz Dynamics Maps to a Residue Class, and Its Count of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:mfenced></mml:math> over the Count of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mn>3</mml:mn><mml:mi>∗</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math> Is Larger than ln3/ln2
International journal of mathematics and mathematical sciences