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2. Highly composite number - Wikipedia

   en.wikipedia.org/wiki/Highly_composite_number

   Highly composite numbers greater than 6 are also abundant numbers. One need only look at the three largest proper divisors of a particular highly composite number to ascertain this fact. It is false that all highly composite numbers are also Harshad numbers in base 10. The first highly composite number that is not a Harshad number is ...

3. Superior highly composite number - Wikipedia

   en.wikipedia.org/wiki/Superior_highly_composite...

   The first 15 superior highly composite numbers, 2, 6, 12, 60, 120, 360, 2520, 5040, 55440, 720720, 1441440, 4324320, 21621600, 367567200, 6983776800 (sequence A002201 in the OEIS) are also the first 15 colossally abundant numbers, which meet a similar condition based on the sum-of-divisors function rather than the number of divisors. Neither ...

4. Table of divisors - Wikipedia

   en.wikipedia.org/wiki/Table_of_divisors

   Plot of the number of divisors of integers from 1 to 1000. Highly composite numbers are in bold and superior highly composite numbers are starred. In the SVG file, hover over a bar to see its statistics. The tables below list all of the divisors of the numbers 1 to 1000.

5. List of integer sequences - Wikipedia

   en.wikipedia.org/wiki/List_of_integer_sequences

   Highly composite numbers: 1, 2, 4, 6, 12, 24, 36, 48, 60, 120, ... A positive integer with more divisors than any smaller positive integer. A002182: Superior highly composite numbers: 2, 6, 12, 60, 120, 360, 2520, 5040, 55440, 720720, ... A positive integer n for which there is an e > 0 such that ⁠ d(n) / n e ⁠ ≥ ⁠ d(k) / k e ⁠ for ...

6. 5040 (number) - Wikipedia

   en.wikipedia.org/wiki/5040_(number)

   5040 (five thousand [and] forty) is the natural number following 5039 and preceding 5041.. It is a factorial (7!), the 8th superior highly composite number, [1] the 19th highly composite number, [2] an abundant number, the 8th colossally abundant number [3] and the number of permutations of 4 items out of 10 choices (10 × 9 × 8 × 7 = 5040).

7. Composite number - Wikipedia

   en.wikipedia.org/wiki/Composite_number

   A number n that has more divisors than any x < n is a highly composite number (though the first two such numbers are 1 and 2). Composite numbers have also been called "rectangular numbers", but that name can also refer to the pronic numbers, numbers that are the product of two consecutive integers.

8. 12 (number) - Wikipedia

   en.wikipedia.org/wiki/12_(number)

   12 (twelve) is the natural number following 11 and preceding 13.. Twelve is the 3rd superior highly composite number, [1] the 3rd colossally abundant number, [2] the 5th highly composite number, and is divisible by the numbers from 1 to 4, and 6, a large number of divisors comparatively.

9. List of types of numbers - Wikipedia

   en.wikipedia.org/wiki/List_of_types_of_numbers

   Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.