Interestingness score

How we rank numbers on NumDic

How it’s calculated

Each number gets a score from the properties shown on its page (number-theory characteristics and base-10 digit properties):

  • Base: +1 point for every property chip (e.g. Prime, Triangular, Palindromic).
  • Bonus (rare): +3 for very special properties: Mersenne, Mersenne prime, Fermat number, Catalan number, Dudeney number, Perfect, Narcissistic.
  • Bonus (medium): +2 for other notable ones: Sophie Germain prime, Safe prime, Layland, Factorial, Pandigital, Strobogrammatic, Refactorable, Powerful number, Lucas number, Gaussian prime, Kaprekar, Smith, Automorphic, Trimorphic, Hoax number, Zuckerman number.

The total is the interestingness score. Higher means more properties and/or rarer ones. On each number page you also see how many chips are in each section.

Example

Number 6 has a score of 31.

It has the following properties (each contributing base points and possibly bonus):

Triangular, Hexagonal, Evil number, Pronic, Factorial, Even, Ones-Zeroes, Palindromic, Harshad, Repdigit, Automorphic, Spy number, Narcissistic, Trimorphic, Zuckerman number, Composite, Perfect

Plus the usual classification (Prime/Unit/Composite) and, when applicable, Perfect/Abundant/Deficient and Twin Prime.

Top 1000 most interesting numbers

Precomputed list; same order as on number pages (by score, then by number). Paginated 50 per page.

Rank Number Score
751 1185 7
752 1188 7
753 1204 7
754 1209 7
755 1215 7
756 1220 7
757 1221 7
758 1233 7
759 1247 7
760 1251 7
761 1277 7
762 1281 7
763 1288 7
764 1301 7
765 1305 7
766 1309 7
767 1320 7
768 1330 7
769 1335 7
770 1350 7
771 1365 7
772 1380 7
773 1387 7
774 1400 7
775 1500 7
776 1503 7
777 1512 7
778 1547 7
779 1596 7
780 1609 7
781 1640 7
782 1651 7
783 1653 7
784 1679 7
785 1697 7
786 1704 7
787 1717 7
788 1720 7
789 1725 7
790 1740 7
791 1744 7
792 1760 7
793 1771 7
794 1785 7
795 1808 7
796 1815 7
797 1820 7
798 1825 7
799 1860 7
800 1880 7
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