Let n EN be a natural number with a divisor d E N. If the sum of all of the positive divisors of n is equal to 2n + d, then we call n a near- perfect number. For example, if we have n = 12, then the divisors of n are 1, 2, 3, 4, 6 and 12. Therefore, the sum of the divisors of n is equal to 1+2+3+4+6+12=2*12+4, and 4|12. Hence, 12 is a near-perfect number. Write a function, near_perfect_number, which accepts any integer nas input, and returns True if n is a near-perfect number, and False otherwise.

Let n EN be a natural number with a divisor d E N. If the sum of all of the positive divisors of n is equal to 2n + d, then we call n a near- perfect number. For example, if we have n = 12, then the divisors of n are 1, 2, 3, 4, 6 and 12. Therefore, the sum of the divisors of n is equal to 1+2+3+4+6+12=2*12+4, and 4|12. Hence, 12 is a near-perfect number. Write a function, near_perfect_number, which accepts any integer nas input, and returns True if n is a near-perfect number, and False otherwise.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

Question

Let n E N be a natural number with a divisor d E N. If the sum of all of the positive divisors of n is equal to 2n + d, then we call n a near-
perfect number.
For example, if we have n = 12, then the divisors of n are 1, 2, 3, 4, 6 and 12. Therefore, the sum of the divisors of n is equal to
1+2+3+4+6+12=2*12+4, and 4|12. Hence, 12 is a near-perfect number.
Write a function, near_perfect_number, which accepts any integer n as input, and returns True if n is a near-perfect number, and False
otherwise.

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