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
651 193 7
652 201 7
653 203 7
654 207 7
655 208 7
656 209 7
657 220 7
658 222 7
659 230 7
660 247 7
661 261 7
662 272 7
663 301 7
664 303 7
665 306 7
666 330 7
667 341 7
668 342 7
669 351 7
670 380 7
671 403 7
672 405 7
673 409 7
674 435 7
675 460 7
676 464 7
677 465 7
678 469 7
679 481 7
680 505 7
681 506 7
682 508 7
683 510 7
684 552 7
685 561 7
686 565 7
687 595 7
688 601 7
689 603 7
690 605 7
691 608 7
692 616 7
693 617 7
694 637 7
695 651 7
696 656 7
697 680 7
698 704 7
699 707 7
700 709 7