wordpress: Check at what depth is the current category

category.php

<?php
        //TEST AT WHAT DEPTH IS CURRENT CATEGORY
        $max_depth_to_test = intval(3); //set this to highest depth you might have
        $last_depth = 0;
        $cat_to_test = $cat;
        $category=get_category($cat_to_test);
        for ( $counter = 1; $counter <= $max_depth_to_test; $counter += 1) {
          if ($category->category_parent) {
            $category=get_category($category->category_parent);
            $last_depth = $counter;
          }
        }
        $last_depth +=1;
        //echo '<p>Category ' . $cat_to_test . ' it is at depth ' . $last_depth .'</p>';
    ?>