a multiply perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural number k...

Hyperperfect number Multiply perfect number Superperfect numbers Unitary perfect number Leinster group List of Mersenne primes and perfect numbers Harmonic...

adjacent to a prime. 120 is the first multiply perfect number of order three (a 3-perfect or triperfect number). The sum of its factors (including one...

mathematics, an almost perfect number (sometimes also called slightly defective or least deficient number) is a natural number n such that the sum of...

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...

Quasiperfect number Almost perfect number Multiply perfect number Hyperperfect number Semiperfect number Primitive semiperfect number Unitary perfect number Weird...

Are there infinitely many unitary perfect numbers? More unsolved problems in mathematics A unitary perfect number is an integer which is the sum of its...

Luo Ming. No Fibonacci number can be a perfect number. More generally, no Fibonacci number other than 1 can be multiply perfect, and no ratio of two Fibonacci...

isomorphic to the Schur multiplier of G. If the finite group G is moreover perfect, then C is unique up to isomorphism and is itself perfect. Such C are often...

In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, one applies the totient function...

its proper divisors. A semiperfect number that is equal to the sum of all its proper divisors is a perfect number. The first few semiperfect numbers are:...

{\displaystyle b} -happy number is a natural number in a given number base b {\displaystyle b} that eventually reaches 1 when iterated over the perfect digital invariant...

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...

algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number n is denoted n3,...

a number n is the result of multiplying four instances of n together. So: n4 = n × n × n × n Fourth powers are also formed by multiplying a number by...

that every perfect number is a harmonic divisor number and conjectured that there are no odd harmonic divisor numbers other than 1. The number 6 has the...

numbers and perfect numbers is between 0.2474 and 0.2480. An abundant number which is not the multiple of an abundant number or perfect number (i.e. all...

of the ego since it "always returns to itself" even after being multiplied by any number. Nines are a notation for expressing the purity of a chemical....

by multiply perfect numbers, which are numbers whose abundancy is an integer. Although some are known to be quite large, clubs of multiply perfect numbers...

In mathematics, a perfect power is a natural number that is a product of equal natural factors, or, in other words, an integer that can be expressed as...

a perfect number. For example, the sum of the first 5 terms of the series 1 + 2 + 4 + 8 + 16 = 31, which is a prime number. The sum 31 multiplied by...

no known numbers of abundancy 19/2. Semiperfect number Perfect number Multiply perfect number "Number Theory". Numericana.com. Retrieved 2012-08-21....

quasiperfect number exists, it must be an odd square number greater than 1035 and have at least seven distinct prime factors. For a perfect number n the sum...

not a number and there are no unique numbers (e.g., any two units from indefinitely many units is a 2). However, in the definition of perfect number which...

equal to the number of colors multiplied by the independence number. In a perfect graph, the number of colors equals the clique number, and can be replaced...

equilibrium theory, a perfect market, also known as an atomistic market, is defined by several idealizing conditions, collectively called perfect competition,...

they were previously discovered in the 1730s by Minggatu. The n-th Catalan number can be expressed directly in terms of the central binomial coefficients...

be a triangular number, because 8Tn + 1 = (2n + 1)2, which yields all the odd squares are revealed by multiplying a triangular number by 8 and adding...

of two known sublime numbers, numbers that have a perfect number of divisors whose sum is also perfect. There are twelve Jacobian elliptic functions and...

centered octagonal number, first natural number whose digits in its decimal representation get reversed when multiplied by 9. 1090 = sum of 5 positive 5th powers...