I have beats studio 2. B0500

I have beats Studio 2. B0500

Serial number BB80BF1Q022

is this headphones wireless or wired?

I bought them second hand and i did not get any aux Cable. Only charging Cable.

What aux cable should i buy?

My ordinary 3.5mm and does not work. I get no sound to my iPhone.

I have read that i need to buy 2.5 to 3.5 aux Cable for them to work. Is this true ?

What Cable should i buy?

Please help me. Because they are not wireless right?

Thank you for your support.