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
601 1579 8
602 1592 8
603 1612 8
604 1627 8
605 1634 8
606 1644 8
607 1649 8
608 1650 8
609 1664 8
610 1665 8
611 1668 8
612 1688 8
613 1691 8
614 1701 8
615 1715 8
616 1736 8
617 1747 8
618 1759 8
619 1770 8
620 1776 8
621 1783 8
622 1788 8
623 1816 8
624 1831 8
625 1832 8
626 1864 8
627 1867 8
628 1876 8
629 1884 8
630 1889 8
631 1900 8
632 1912 8
633 1924 8
634 1928 8
635 1935 8
636 1952 8
637 1961 8
638 1962 8
639 1973 8
640 1979 8
641 1987 8
642 33 7
643 48 7
644 77 7
645 90 7
646 105 7
647 110 7
648 117 7
649 126 7
650 140 7