Powerful number
Numbers whose prime factors all divide the number more than once / From Wikipedia, the free encyclopedia
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A powerful number is a positive integer m such that for every prime number p dividing m, p2 also divides m. Equivalently, a powerful number is the product of a square and a cube, that is, a number m of the form m = a2b3, where a and b are positive integers. Powerful numbers are also known as squareful, square-full, or 2-full. Paul Erdős and George Szekeres studied such numbers and Solomon W. Golomb named such numbers powerful.
144000 is a powerful number.
Every exponent in its prime factorization is larger than 1.
It is the product of a square and a cube.
The following is a list of all powerful numbers between 1 and 1000: