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
701 715 7
702 756 7
703 801 7
704 803 7
705 833 7
706 840 7
707 870 7
708 874 7
709 881 7
710 901 7
711 903 7
712 909 7
713 910 7
714 912 7
715 940 7
716 946 7
717 969 7
718 970 7
719 986 7
720 989 7
721 990 7
722 992 7
723 1003 7
724 1009 7
725 1011 7
726 1012 7
727 1015 7
728 1017 7
729 1021 7
730 1029 7
731 1032 7
732 1045 7
733 1053 7
734 1061 7
735 1067 7
736 1076 7
737 1081 7
738 1090 7
739 1095 7
740 1100 7
741 1101 7
742 1104 7
743 1105 7
744 1107 7
745 1120 7
746 1122 7
747 1140 7
748 1141 7
749 1177 7
750 1180 7
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