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Aspiring Number

Definition

Let s(n) congruent σ(n) - n, where σ(n) is the divisor function and s(n) is the restricted divisor function, and define the aliquot sequence of n by s^0(n) congruent n, s^1(n) = s(n), s^2(n) = s(s(n)), .... If the sequence reaches a constant, the constant is known as a perfect number. A number that is not perfect but whose sequence becomes constant is known as an aspiring number. For example, beginning with 25 gives the sequence 25, 6, 6, 6, ..., so 25 is an aspiring number and 6 is a perfect number.

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Subjects We Tutor

What Is Domain In Math

What Is Domain In Math ‘

What Is Domain In Math

What Is Domain In Math ‘

Volume of a Sphere

Volume of a Sphere ‘

Area of a Triangle

Area of a Triangle ‘

Distance Formula

Distance Formula ‘

Distance Formula

Distance Formula ‘

Volume of a Cylinder

Volume of a Cylinder ‘

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