no, 945 is the first abundant odd number though
All odd numbers with one or two distinct prime factors are deficient. Since 3 and 7 are factors of 63, it must be deficient.
17 is a deficient number because half the sum its factors is less than 17 [(1 + 17)/2 = 9)]. All odd numbers less than 945 are deficient.
All of the odd numbers.
There are more deficient numbers.
Deficient number From Wikipedia, the free encyclopediaIn mathematics, a deficient number or defective number is a number n for which σ(n) < 2n. Here σ(n) is the sum-of-divisors function: the sum of all positive divisors of n, including nitself. An equivalent definition is that the sum of all proper divisors of the number (divisors other than the number itself) is less than the number. The value 2n − σ(n) is called the deficiency of n.The first few deficient numbers are: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 25, 26, 27, … (sequence A005100 in OEIS)As an example, consider the number 21. Its divisors are 1, 3, 7 and 21, and their sum is 32. Because 32 is less than 2 × 21, the number 21 is deficient. Its deficiency is 2 × 21 − 32 = 10.An infinite number of both even and odd deficient numbers exist. For example, all odd numbers with one or two distinct prime factors, and all proper divisors of deficient or perfect numbers are deficient.Closely related to deficient numbers are perfect numbers with σ(n) = 2n, and abundant numbers with σ(n) > 2n. The natural numbers were first classified as either deficient, perfect or abundant byNicomachus in his Introductio Arithmetica (circa 100).
All odd numbers with one or two distinct prime factors are deficient. Since 3 and 7 are factors of 63, it must be deficient.
17 is a deficient number because half the sum its factors is less than 17 [(1 + 17)/2 = 9)]. All odd numbers less than 945 are deficient.
No. From Wikipedia: "The first few deficient numbers are: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 25, 26, 27, ..." As you can see, the list includes both even and odd numbers. For example, all powers of two are deficient.
All prime numbers are deficient.
Yes, the factors of all odd numbers are odd numbers.
Yes.
All of the odd numbers.
Half of all square numbers are odd. They are the ones which are the square of an odd number.
There are more deficient numbers.
There is an infinite amount of prime numbers all of which are odd numbers
No. All prime numbers are deficient.
1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,19,21,21,23,25,26,27,29,31,32,33,34,35,37,38,39,41,43,44,45,46,47,49,50,51,52,53,55,57,58,59,61