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In mathematics, a deficient number or defective number is a number n for which σ(n) < 2n. Here σ(n) is the divisor function: the sum of all positive divisors of n, including n itself. 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, …
As an example, consider the number 21. Its divisors are 1, 3, 7 and 21, whose 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 prime numbers, all prime powers and all proper divisors of deficient or perfect numbers are deficient.

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Vitamin B12: Vitamin Deficiency, Dependency, and Toxicity: Merck ...: Cobalamin is a general term for compounds ... http://t.co/B2mqFS3
honeysupp (diet) Fri, 09 Sep 2011 04:42:34 -0000
Vitamin B12: Vitamin Deficiency, Dependency, and Toxicity: Merck ...: Cobalamin is a general term for compounds ... http://t.co/B2mqFS3
Vitamin B12: Vitamin Deficiency, Dependency, and Toxicity: Merck ...: Cobalamin is a general term for compounds ... http://t.co/BVVabbk
conanvette (Bryan Moore) Thu, 08 Sep 2011 06:16:20 -0000
Vitamin B12: Vitamin Deficiency, Dependency, and Toxicity: Merck ...: Cobalamin is a general term for compounds ... http://t.co/BVVabbk
Vitamin B6: Vitamin Deficiency, Dependency, and Toxicity: Merck ...: Symptoms, signs, diagnosis and treatm... http://t.co/AIO9BDk
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