How to add the category ID to admin page

I want to add the categories ID to admin page.
I call it for my functions.php: require_once('includes/categories_custom_id.php');
The part of code:

function categoriesColumnsHeader($columns) {
        $columns['catID'] = __('ID');
        return $columns;
}
add_filter( 'manage_categories_columns', 'categoriesColumnsHeader' );
function categoriesColumnsRow($argument, $columnName, $categoryID){
        if($columnName == 'catID'){
                return $categoryID;
        }
}
add_filter( 'manage_categories_custom_column', 'categoriesColumnsRow', 10, 3 );

But it doesn’t work. Any idea, how to do that?

Thanks in advance.

The hooks for taxonomies are:

• "manage_edit-${taxonomy}_columns" for the header
• "manage_edit-${taxonomy}_sortable_columns" to make columns sortable
• "manage_${taxonomy}_custom_column" for the cell content

To catch all taxonomies write:

foreach ( get_taxonomies() as $taxonomy ) {
    add_action( "manage_edit-${taxonomy}_columns",          't5_add_col' );
    add_filter( "manage_edit-${taxonomy}_sortable_columns", 't5_add_col' );
    add_filter( "manage_${taxonomy}_custom_column",         't5_show_id', 10, 3 );
}
add_action( 'admin_print_styles-edit-tags.php', 't5_tax_id_style' );

function t5_add_col( $columns )
{
    return $columns + array ( 'tax_id' => 'ID' );
}
function t5_show_id( $v, $name, $id )
{    
    return 'tax_id' === $name ? $id : $v;
}
function t5_tax_id_style()
{
    print '<style>#tax_id{width:4em}</style>';
}