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...

In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The...

also the twentieth abundant and highly abundant number (with 20 the first primitive abundant number and 70 the second). The number of divisors of 90 is...

natural number that follows 41 and precedes 43. 42 is a pronic number, an abundant number as well as a highly abundant number, a practical number, an admirable...

In number theory, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular, rigorous sense, has many divisors...

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...

it the 14th highly composite number. a highly abundant number. a Harshad number in every base from binary to decimal. the smallest number to be palindromic...

natural number following 11 and preceding 13. Twelve is the 3rd superior highly composite number, the 3rd colossally abundant number, the 5th highly composite...

primitive abundant number is an abundant number whose proper divisors are all deficient numbers. For example, 20 is a primitive abundant number because:...

In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is...

superabundant numbers are highly abundant. Not all superabundant numbers are Harshad numbers. The first exception is the 105th superabundant number, 149602080797769600...

A highly totient number k {\displaystyle k} is an integer that has more solutions to the equation ϕ ( x ) = k {\displaystyle \phi (x)=k} , where ϕ {\displaystyle...

that is, s(n) = n an abundant number is lesser than the sum of its proper divisors; that is, s(n) > n a highly abundant number has a sum of positive...

natural number following 1979 and preceding 1981. 1980 is a pronic number, a highly abundant number, an e-perfect number and a coreful perfect number. Not...

In number theory, a weird number is a natural number that is abundant but not semiperfect. In other words, the sum of the proper divisors (divisors including...

number, the 19th highly composite number, an abundant number, the 8th colossally abundant number and the number of permutations of 4 items out of 10 choices...

semiperfect number is 945. A semiperfect number is necessarily either perfect or abundant. An abundant number that is not semiperfect is called a weird number. With...

perfect number. Most abundant numbers are also semiperfect; abundant numbers which are not semiperfect are called weird numbers. Hyperperfect number Multiply...

In number theory, a branch of mathematics, a highly cototient number is a positive integer k {\displaystyle k} which is above 1 and has more solutions...

the first superior highly composite number, and the first colossally abundant number. An integer is determined to be even if it is divisible by two. When...

/n\mathbb {Z} } . Highly composite number Rough number Round number Størmer's theorem Unusual number "P-Smooth Numbers or P-friable Number". GeeksforGeeks...

numbers exist? More unsolved problems in mathematics A Lychrel number is a natural number that cannot form a palindrome through the iterative process of...

In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and...

} {\displaystyle \{1,p,p^{2}\}} . A number n that has more divisors than any x < n is a highly composite number (though the first two such numbers are...

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with...

superior highly composite number, the 4th colossally abundant number, the 9th highly composite number, a unitary perfect number, and an abundant number. It...

In mathematics, a natural number in a given number base is a p {\displaystyle p} -Kaprekar number if the representation of its square in that base can...

7th superior highly composite number. the 7th colossally abundant number. the 18th highly composite number. the last highly composite number that is half...

composite number, a highly composite number, an abundant number, a practical number, and a congruent number. The many ways 24 can be constructed inspired...

A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...