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Is 30 a perfect number?
No. The only perfect numbers below 100 are 6 and 28.
Is 34 a perfect number?
No. The only perfect numbers below 100 are 6, and 28.
What kind of a number is 16?
It is a natural number, an integer, a perfect square, a perfect fourth power, a rational number, a real number, ... and so on.
What is the smallest positive integer n such that 2n is a perfect square 3n is a perfect cube and 4n is a perfect fourth?
To find the smallest positive integer ( n ) such that ( 2n ) is a perfect square, ( 3n ) is a perfect cube, and ( 4n ) is a perfect fourth, we analyze the conditions for each case using prime factorization. Let ( n = 2^a \cdot 3^b \cdot k ), where ( k ) is coprime to 2 and 3. For ( 2n ) to be a perfect square, ( a+1 ) must be even and ( b ) must be even. For ( 3n ) to be a perfect cube, ( a ) must be divisible by 3 and ( b+1 ) must be divisible by 3. For ( 4n ) to be a perfect fourth, ( a+2 ) must be divisible by 4 and ( b ) must be divisible by 4. By solving these conditions simultaneously, the smallest ( n ) that meets all conditions is ( n = 108 ).
When did pet by a perfect circle come out?
"The Pet" by A Perfect Circle was released on April 20, 2018 as part of their fourth studio album, "Eat the Elephant."
