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
101 240 12
102 256 12
103 263 12
104 288 12
105 319 12
106 347 12
107 384 12
108 391 12
109 400 12
110 419 12
111 424 12
112 431 12
113 432 12
114 496 12
115 503 12
116 516 12
117 535 12
118 563 12
119 612 12
120 619 12
121 624 12
122 636 12
123 648 12
124 659 12
125 683 12
126 690 12
127 732 12
128 735 12
129 852 12
130 863 12
131 864 12
132 888 12
133 900 12
134 913 12
135 915 12
136 972 12
137 1103 12
138 1112 12
139 1176 12
140 1225 12
141 1307 12
142 1319 12
143 1451 12
144 1507 12
145 1511 12
146 1581 12
147 1619 12
148 1907 12
149 1920 12
150 1931 12
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