Why Is 23 Deficient?

2 Answers

Anonymous Profile
Anonymous answered
In mathematics, prime numbers, prime powers, and divisors of a deficient number are all deficient numbers. According to this definition, the first few deficient numbers are as follows.
1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 25, 26, 27....
Oddman Profile
Oddman answered
A better definition of deficient numbers is found here.

23 is deficient because the sum of divisors of 23 (not including 23) is less than 23.
The divisors are: 1, 23 (because 23 is prime).
The divisors less than 23 are: 1.
The sum of 1 is 1, and this value is less than 23, so 23 is "deficient."

24 is not deficient. Its divisors are 1, 2, 3, 4, 6, 8, 12, 24. (1+2+3+4+6+8+12) = 36
Because 36 > 24, 24 is called an "abundant" number.

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Anonymous