Aurian Number.pdf

An Aurian Number is a positive integer in which the result of subtracting all its digits from right to left (starting from the last digit and subtracting each previous one) is equal to the difference between the sum and product of its digits. Let a number N have digits: N = d1 d2 d3 ... dk Step 1 – Subtractive Reduction: Subtract = dk - d(k-1) - d(k-2) - ... - d1 Step 2 – Sum and Product of Digits: Sum = d1 + d2 + ... + dk Product = d1 × d2 × ... × dk Aurian Condition: If Subtract == (Sum - Product), then the number is called an Aurian Number.

10.6084/m9.figshare.28827293