The Amazing Concepts

In number theory, a Practical number or Panarithmic number is a positive integer n that can represent all smaller numbers m (m < n) as the sums of distinct divisors of n. In other words, any positive integer n having the property that all smaller integers can be represented as the sums of distinct divisors of integer n is referred to as a Practical number or Panarithmic number. The Procedure Step 1:  Consider a positive integer n. Step 2:  Find out the distinct divisors of n. Step 3:  Check whether all numbers smaller than n can be represented as the sums of distinct divisors of n. Step 4:  If all numbers smaller than n can be represented as the sums of distinct divisors of n, then n is a Practical number or Panarithmic number, else not. Practical Number Sequence 1, 2, 4, 6, 8, 12, 16, 18, 20, ….., n. For Example Integer: 24 Distinct divisors of 24: 1, 2, 3, 4, 6, 8, 12. All smaller numbers such as: 5 => 2 + 3 7 => 3 + 4 9 =>...