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...

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...

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...

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...

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,...

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

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 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 composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly it is a positive integer that has...

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...

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...

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:...

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...

{\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...

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...

Machine Hartnett, Kevin (2019-04-11). "Mathematicians Discover the Perfect Way to Multiply". Quanta Magazine. Retrieved 2020-01-25. Klarreich, Erica (January...

In number theory, a Descartes number is an odd number which would have been an odd perfect number if one of its composite factors were prime. They are...

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...

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...

Handbook of number theory I. Dordrecht: Springer-Verlag. ISBN 1-4020-4215-9. Zbl 1151.11300. Suryanarayana, D. (1969). "Super perfect numbers". Elem...

nonagonal number for n layers is given by the formula N c ( n ) = ( 3 n − 2 ) ( 3 n − 1 ) 2 . {\displaystyle Nc(n)={\frac {(3n-2)(3n-1)}{2}}.} Multiplying the...

In number theory, an n-smooth (or n-friable) number is an integer whose prime factors are all less than or equal to n. For example, a 7-smooth number is...

60^{k}/n} , shifted by some number of places. This allows for easy division by these numbers: to divide by n {\displaystyle n} , multiply by 1 / n {\displaystyle...

n , {\displaystyle n,} is an integer m {\displaystyle m} that may be multiplied by some integer to produce n . {\displaystyle n.} In this case, one also...

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

(sequence A007304 in the OEIS) The largest known sphenic number at any time can be obtained by multiplying together the three largest known primes. All sphenic...