stdClass Object ( [id] => 16278 [paper_index] => 202505-02-022000 [title] => PROPERTIES OF τ AND σ FUNCTIONS [description] => [author] => Hamant Kumar ,Vishnu Kant [googlescholar] => [doi] => [year] => 2025 [month] => May [volume] => 10 [issue] => 5 [file] => fm/jpanel/upload/2025/May/202505-02-022000.pdf [abstract] => In this article, we study τ and σ functions and their properties. Utilizing τ and σ functions, we investigate perfect number, deficient numbers, abundant numbers, amicable numbers, friendly numbers and solitary numbers. [keywords] => [doj] => 2025-05-30 [hit] => [status] => [award_status] => P [orderr] => 80 [journal_id] => 2 [googlesearch_link] => [edit_on] => [is_status] => 1 [journalname] => EPRA International Journal of Research & Development (IJRD) [short_code] => IJSR [eissn] => 2455-7838 (Online) [pissn] => - - [home_page_wrapper] => images/products_image/2-n.png ) Error fetching PDF file.