![]() ![]() Equivalently, it is a positive integer that has at. However, Jean-Pierre Kahane has suggested that the concept might have been known to Plato, who set 5040 as the ideal number of citizens in a city as 5040 has more divisors than any numbers less than it. Many of these numbers are used in traditional systems of measurement, and tend to be used in engineering designs, due to their ease of use in calculations involving fractions. A composite number is a positive integer that can be formed by multiplying two smaller positive integers. A highly composite number (or anti-prime) is a positive integer with more divisors than any smaller positive integer has. ![]() The counting function Q L( x) of largely composite numbers satisfiesīecause the prime factorization of a highly composite number uses all of the first k primes, every highly composite number must be a practical number. A composite number n is a positive integer n>1 which is not. Example 1: Identify if 125 comes in the list of composite numbers 1 to 1000. Example of Composite Number 12 is a composite number because it can be divided by 1, 2, 3, 4, 6 and 12. A composite number is a whole number that can be divided evenly by numbers other than 1 or itself. We don’t consider ‘1’ as a composite number. ![]() It is extremely likely that this sequence is complete.Ī positive integer n is a largely composite number if d( n) ≥ d( m) for all m ≤ n. Composite Numbers A composite number has more than two factors, which means apart from getting divided by the number 1 and itself, it can also be divided by at least one integer or number. An integer that can be divided by at least one other integer besides itself and 1 without leaving a remainder. The initial or smallest 38 highly composite numbers are listed in the table below OEIS A. ![]()
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