5. Six, seven, eight and nine are used once each to make the result equal to 24. What's the formula? As the title!
8*9/6+(7+5)=24
(8*9/6)*(7-5)=24
Formula for calculating the sum of divisors
Let a number be a
A = A1 ^ B1 * A2 ^ B2 * A3 ^ B3 an ^ BN
The results are as follows:
The number of divisors of a = (1 + B1) (1 + B2) (1 + B3). (1 + BN)
Sum of divisors of a = (1 + A1 + A1 ^ 2 + A1 ^ 3 + A1 ^ 4 +. A1 ^ B1) * (1 + A2 + A2 ^ 2 + A2 ^ 3 + A2 ^ 4 +. A2 ^ B2). (1 + an + an ^ 2 + an ^ 3 + an ^ 4 +. An ^ BN)
For example:
180=2^2*3^2*5
Number = (1 + 2) (1 + 2) (1 + 1) = 18
Sum = (1 + 2 + 4) (1 + 3 + 9) (1 + 5) = 546