Positive Numbers Divisible by their Iterative Digit Sum Revisited
Hilary Izuchukwu Okagbue, A. A. Opanuga, Pelumi Emmanuel Oguntunde, Grace A. Eze · Covenant University Repository (Covenant University) · 2017
This paper is about the existence of numbers divisible by their iterative digit sum (NDIDS). Three conjectures were proposed, firstly, 9 multiply a NDIDS produces a multiple NDIDS. Secondly, there are no 15 or more consecutive NDIDS in the sequence of positive integers. Lastly, all Niven numbers are also NDIDS but the converse is not true. The detailed composition, properties, sequences and comparison with Niven numbers of NDIDS are discussed