In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is...
8 KB (1,009 words) - 09:08, 3 May 2025
A highly composite number is a positive integer that has more divisors than all smaller positive integers. If d(n) denotes the number of divisors of a...
22 KB (1,712 words) - 22:03, 10 May 2025
natural number following 11 and preceding 13. Twelve is the 3rd superior highly composite number, the 3rd colossally abundant number, the 5th highly composite...
26 KB (2,533 words) - 02:48, 10 May 2025
natural number following 5039 and preceding 5041. It is a factorial (7!), the 8th superior highly composite number, the 19th highly composite number, an abundant...
5 KB (597 words) - 19:52, 14 May 2025
Sexagesimal (redirect from Sexagesimal number system)
measuring time, angles, and geographic coordinates. The number 60, a superior highly composite number, has twelve divisors, namely 1, 2, 3, 4, 5, 6, 10, 12...
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is the 4th superior highly composite number, the 4th colossally abundant number, the 9th highly composite number, a unitary perfect number, and an abundant...
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1,000,000 (redirect from 1,000,000 (number))
divisor number 1,441,440 = 11th colossally abundant number, 11th superior highly composite number, 40th highly composite number 1,441,889 = Markov number 1...
29 KB (3,841 words) - 21:43, 18 May 2025
the 7th superior highly composite number. the 7th colossally abundant number. the 18th highly composite number. the last highly composite number that is...
2 KB (307 words) - 02:01, 1 January 2025
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly it is a positive integer that has...
6 KB (851 words) - 21:28, 27 March 2025
100,000 (redirect from 100,000 (number))
051 = 115 161,280 = highly totient number 166,320 = 31st highly composite number 167,400 = harmonic divisor number 167,894 = number of ways to partition...
29 KB (3,836 words) - 15:50, 16 May 2025
1,000,000,000 (redirect from 1,000,000,000 (number))
colossally abundant number, 15th superior highly composite number, and the largest number to be both. 7,007,009,909 = smallest number in base 10 to take...
30 KB (3,710 words) - 11:41, 6 May 2025
100,000,000 (redirect from 111111111 (number))
number 225,331,713 = self-descriptive number in base 9 229,345,007 = 475 232,792,560 = superior highly composite number; colossally abundant number;...
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the 6th superior highly composite number, the 6th colossally abundant number, a refactorable number, a 5-smooth number, and a Harshad number in decimal...
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consecutive numbers that are both prime (2 and 3). As six is a superior highly composite number, many of the arguments made in favor of the duodecimal system...
27 KB (1,785 words) - 08:36, 21 April 2025
Duodecimal (redirect from Dek (number))
3) for eleven (el, pronounced ɛl). The number twelve, a superior highly composite number, is the smallest number with four non-trivial factors (2, 3, 4...
60 KB (4,381 words) - 18:16, 19 May 2025
50,000 (redirect from 55440 (number))
= 3-smooth number 55440 = the 9th superior highly composite number; the 9th colossally abundant number, the 28th highly composite number. 55459 = one...
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Germain prime 5040 = 7!, superior highly composite number 5041 = 712, centered octagonal number 5050 – triangular number, Kaprekar number, sum of first 100 integers...
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Babylonian cuneiform numerals (redirect from Babylonian number system)
systems are actually mixed radix. A common theory is that 60, a superior highly composite number (the previous and next in the series being 12 and 120), was...
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the smallest number congruent to 1 (mod 2), 2 (mod 3), 3 (mod 4), ..., 9 (mod 10) 2520 – superior highly composite number; smallest number divisible by...
32 KB (4,697 words) - 20:11, 5 May 2025
10,000,000 (redirect from 12988816 (number))
Markov number 21,621,600 = 13th colossally abundant number, 13th superior highly composite number 22,222,222 = repdigit 22,235,661 = 33×77 22,667,121...
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that of highly composite numbers, and in the same way that 1 is the only odd highly composite number, it is also the only odd highly totient number (indeed...
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advances in mathematics for two reasons. Firstly, the number 60 is a superior highly composite number, having factors of 1, 2, 3, 4, 5, 6, 10, 12, 15, 20...
26 KB (3,106 words) - 00:29, 27 April 2025
In number theory, a highly abundant number is a natural number with the property that the sum of its divisors (including itself) is greater than the sum...
5 KB (516 words) - 04:30, 25 September 2023
Table of divisors (category Elementary number theory)
the first two highly composite numbers are not composite numbers. a superior highly composite number has a ratio between its number of divisors and...
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6983776800 (sequence A004490 in the OEIS) are also the first 15 superior highly composite numbers, but neither set is a subset of the other. Colossally...
11 KB (1,635 words) - 02:04, 30 March 2024
893,615,154 = number of centered hydrocarbons with 32 carbon atoms 13,967,553,600 = superior highly composite number, superabundant number 14,182,439,040...
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OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A002201 (Superior highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS...
9 KB (1,064 words) - 11:10, 10 May 2025
the highly cototient numbers are odd. The concept is somewhat analogous to that of highly composite numbers. Just as there are infinitely many highly composite...
4 KB (383 words) - 19:37, 9 May 2025