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In [[number theory]], a '''deficient number''' or '''defective number''' is a number ''n'' for which the [[Divisor_function#Definition|sum of divisors]] ''&sigma;''(''n'')<2''n'', or, equivalently, the sum of proper divisors (or [[aliquot sum]]) ''s''(''n'')<''n''. The value 2''n''&nbsp;&minus;&nbsp;''σ''(''n'') (or ''n''&nbsp;&minus;&nbsp;''s''(''n'')) is called the number's '''deficiency'''.
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==Examples==
 
The first few deficient numbers are:
:[[1 (number)|1]], [[2 (number)|2]], [[3 (number)|3]], [[4 (number)|4]], [[5 (number)|5]], [[7 (number)|7]], [[8 (number)|8]], [[9 (number)|9]], [[10 (number)|10]], [[11 (number)|11]], [[13 (number)|13]], [[14 (number)|14]], [[15 (number)|15]], [[16 (number)|16]], [[17 (number)|17]], [[19 (number)|19]], [[21 (number)|21]], [[22 (number)|22]], [[23 (number)|23]], [[25 (number)|25]], [[26 (number)|26]], [[27 (number)|27]], … {{OEIS|id=A005100}}
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&nbsp;×&nbsp;21, the number 21 is deficient. Its deficiency is 2&nbsp;×&nbsp;21&nbsp;&minus;&nbsp;32&nbsp;=&nbsp;10.
 
==Properties==
 
*An infinite number of both [[even and odd numbers|even and odd]] deficient numbers exist
*All odd numbers with one or two distinct prime factors are deficient
*All proper [[divisor]]s of deficient or [[perfect number]]s are deficient.
*There exists at least one deficient number in the interval <math>[n, n + (\log n)^2]</math> for all sufficiently large ''n''.<ref name=HBI108>Sándor et al (2006) p.108</ref>
 
==Related concepts==
 
Closely related to deficient numbers are [[perfect number]]s with ''σ''(''n'')&nbsp;=&nbsp;2''n'', and [[abundant number]]s with ''σ''(''n'')&nbsp;>&nbsp;2''n''. The [[natural number]]s were first classified as either deficient, perfect or abundant by [[Nicomachus]] in his ''Introductio Arithmetica'' (circa 100).
 
== See also ==
 
* [[Almost perfect number]]
* [[Amicable number]]
* [[Sociable number]]
 
==References==
{{reflist}}
* {{cite book | editor1-last=Sándor | editor1-first=József | editor2-last=Mitrinović | editor2-first=Dragoslav S. | editor3-last=Crstici |editor3-first=Borislav | title=Handbook of number theory I | location=Dordrecht | publisher=[[Springer-Verlag]] | year=2006 | isbn=1-4020-4215-9 | zbl=1151.11300 }}
 
== External links ==
* [http://primes.utm.edu/glossary/page.php?sort=DeficientNumber The Prime Glossary: Deficient number]
* {{MathWorld |urlname=DeficientNumber |title=Deficient Number}}
* {{PlanetMath |urlname=DeficientNumber |title=deficient number |id=7868}}
 
 
{{Divisor classes}}
{{Classes of natural numbers}}
 
[[Category:Divisor function]]
[[Category:Integer sequences]]

Revision as of 17:27, 22 February 2014

Obesity is the second name of over weight. When a person cross the limit of weight according to his height plus age called OBESE. However definition and limit of obesity is different according to age and height. Obesity is a body disorder which results in deform the body. However there is a differance inside healthy body plus fat body. A wellness body is in the good form, But an obese body is deformed by different components of body like Tummy , Hips,Arms plus legs.

Basically, a bmi chart is a calculation which uses height and also weight to recognize how much body fat an individual has. It is a graphical representation of the body, where fat is constantly on the horizontal axis and height found on the vertical axis. Once we provide this chart to a doctor, he is able to tell we the proper answer to improve your wellness. You is glad to find that today online tools have produced it much simpler for you to calculate your BMI. Usually persons with heavy weight have BMI between 25 plus 29.9, while the underweight individuals have BMI somewhere around 18.5. Once we are aware of the BMI, you are able to change a lifestyle into a healthy one thus as to guarantee good health.

This way utilizes body fat scales that send a secure little bmi chart men electrical current by the body to calculate the amount of body fat tissue. The body fat percentage is then calculated based on height, weight, age plus sex. It is a harmless way and fairly accurate. These scales are accessible in the marketplace plus reasonably priced.

Another benefit of green leafy vegetables is the fact that they provide phytonutrients, that are compounds important for sustaining human health by preventing cell damage, preventing cancer mobile replication and reducing cholesterol levels. They also are a source of vitamins C, E, E and most B vitamins. Dark green leafy greens contain tiny amounts of omega-3 fats.

Having sex using the missionary position assist to receive pregnant- the time-proven 'man-on-top' position works with gravity to motivate semen flow toward the uterus to maximize the opportunity of the sperm uniting with all the egg plus causing conception. One of the associated best strategies on getting pregnant is -- following ejaculation, the girl may stay on her back with her legs bent a limited minutes to further maximize semen flow toward the uterus.

Your BMI usually tell you the amount of fat we bmi chart women have stored in the body. The indicator found on the table usually show that you are severely underweight, general, obese or fat class I, obese class II or fat class III.

34.Speed at 40/Beating your PR:There have been numerous articles about how ladies are older females are getting quicker and staying there (see ABC News post on Yale University Study). As we gain experience, we become more efficient runners. We know to run the tangents, make properly, plus read strategies like various you have listed here. We have more time to train because our youngsters get elder.

We can choose some of the weight charts on this page. It won't take much time. Read about the body mass chart plus how you are able to use it as a instrument for weight reduction.

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