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{{Infobox number | |||
| number = 126 | |||
| divisor = 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126 | |||
}} | |||
'''126''' ('''one hundred [and] twenty-six''') is the [[natural number]] following [[125 (number)|125]] and preceding [[127 (number)|127]]. | |||
==In mathematics== | |||
As the [[binomial coefficient]] <math>\tbinom{9}{4}</math>, 126 is a [[central binomial coefficient]]<ref>{{SloanesRef|A001405|name=Central binomial coefficients}} See also [[OEIS:A001700]] for the odd central binomial coefficients.</ref> and a [[pentatope number]].<ref>{{citation|title=Figurate Numbers|first1=Elena|last1=Deza|first2=M.|last2=Deza|author2-link=Michel Deza|publisher=World Scientific|year=2012|isbn=9789814355483|page=162|contribution=3.1 Pentatope numbers and their multidimensional analogues}}; {{SloanesRef|A000332|name=Binomial coefficients binomial(n,4)}}</ref> It is also a [[decagonal number]]<ref>{{harvtxt|Deza|Deza|2012}}, pp. 2–3 and 6; {{SloanesRef|A001107|name=10-gonal (or decagonal) numbers}}</ref> and a [[pentagonal pyramidal number]].<ref>{{harvtxt|Deza|Deza|2012}}, pp. 93, 211. {{SloanesRef|A002411|name=Pentagonal pyramidal numbers}}</ref> As 125 + 1 it is σ<sub>3</sub>(5), the fifth value of the [[Divisor function|sum of cubed divisors function]],<ref>{{SloanesRef|A001158|name=sigma_3(n): sum of cubes of divisors of n}}</ref> and is a sum of two cubes.<ref>{{SloanesRef|A003325|name=Numbers that are the sum of 2 positive cubes}}</ref> | |||
There are exactly 126 crossing points among the diagonals of a regular [[nonagon]],<ref>{{SloanesRef|A006561|name=Number of intersections of diagonals in the interior of regular n-gon}}</ref> 126 [[binary string]]s of length seven that are not repetitions of a shorter string,<ref>{{SloanesRef|A027375|name=Number of aperiodic binary strings of length n; also number of binary sequences with primitive period n}}</ref> 126 different [[semigroup]]s on four elements (up to isomorphism and reversal),<ref>{{SloanesRef|A001423|name=Number of semigroups of order n, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator)}}</ref> and 126 different ways to partition a [[decagon]] into even polygons by diagonals.<ref>{{SloanesRef|A003168|name=Number of blobs with 2n+1 edges}}</ref> There are exactly 126 positive integers that are not solutions of the equation | |||
:<math>x=abc+abd+acd+bcd,</math> | |||
where ''a'', ''b'', ''c'', and ''d'' must themselves all be positive integers.<ref>{{SloanesRef|A027566|name=Number of numbers not of form k_1 k_2 .. k_n (1/k_1 + .. + 1/k_n), k_i >= 1}}. See [[OEIS:A027563]] for the list of these 126 numbers.</ref> | |||
It is the fifth [[Granville number]], and the third such not to be a perfect number. Also, it is known to be the smallest Granville number with three distinct prime factors, and perhaps the only such Granville number.<ref>J. D. Koninck, Those Fascinating Numbers, transl. author. American Mathematical Society (2008) p. 40.</ref> | |||
==In physics== | |||
126 is is the seventh [[Magic number (physics)|magic number]] in [[nuclear physics]]. For each of these numbers, 2, 8, 20, 28, 50, 82, and 126, an atomic nucleus with this many protons is or is predicted to be more stable than for other numbers. Thus, although there has been no experimental discovery of element 126, tentatively called [[unbihexium]], it is predicted to belong to an island of stability that might allow it to exist with a long enough [[half life]] that its existence could be detected.<ref>{{citation|title=Nature's Building Blocks: An A-Z Guide to the Elements|first=John|last=Emsley|publisher=Oxford University Press|year=2011|isbn=9780199605637|page=592|url=http://books.google.com/books?id=4BAg769RfKoC&pg=PA592}}</ref> | |||
== See also == | |||
* [[126th (disambiguation)]] | |||
* The years [[126 AD]] and [[126 BC]] | |||
* [[126 Velleda]], a [[Main belt]] [[asteroid]] | |||
* [[List of highways numbered 126]] | |||
* [[126 film]] and [[126 film (roll format)]] photographic film formats | |||
==References== | |||
{{reflist}} | |||
{{Integers|1}} | |||
{{DEFAULTSORT:126 (Number)}} | |||
[[Category:Integers]] |
Revision as of 12:50, 23 January 2014
Template:Infobox number 126 (one hundred [and] twenty-six) is the natural number following 125 and preceding 127.
In mathematics
As the binomial coefficient , 126 is a central binomial coefficient[1] and a pentatope number.[2] It is also a decagonal number[3] and a pentagonal pyramidal number.[4] As 125 + 1 it is σ3(5), the fifth value of the sum of cubed divisors function,[5] and is a sum of two cubes.[6]
There are exactly 126 crossing points among the diagonals of a regular nonagon,[7] 126 binary strings of length seven that are not repetitions of a shorter string,[8] 126 different semigroups on four elements (up to isomorphism and reversal),[9] and 126 different ways to partition a decagon into even polygons by diagonals.[10] There are exactly 126 positive integers that are not solutions of the equation
where a, b, c, and d must themselves all be positive integers.[11]
It is the fifth Granville number, and the third such not to be a perfect number. Also, it is known to be the smallest Granville number with three distinct prime factors, and perhaps the only such Granville number.[12]
In physics
126 is is the seventh magic number in nuclear physics. For each of these numbers, 2, 8, 20, 28, 50, 82, and 126, an atomic nucleus with this many protons is or is predicted to be more stable than for other numbers. Thus, although there has been no experimental discovery of element 126, tentatively called unbihexium, it is predicted to belong to an island of stability that might allow it to exist with a long enough half life that its existence could be detected.[13]
See also
- 126th (disambiguation)
- The years 126 AD and 126 BC
- 126 Velleda, a Main belt asteroid
- List of highways numbered 126
- 126 film and 126 film (roll format) photographic film formats
References
43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.
- ↑ Template:SloanesRef See also OEIS:A001700 for the odd central binomial coefficients.
- ↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.
Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.
In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.
Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region
Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.
15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.
To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010; Template:SloanesRef - ↑ Template:Harvtxt, pp. 2–3 and 6; Template:SloanesRef
- ↑ Template:Harvtxt, pp. 93, 211. Template:SloanesRef
- ↑ Template:SloanesRef
- ↑ Template:SloanesRef
- ↑ Template:SloanesRef
- ↑ Template:SloanesRef
- ↑ Template:SloanesRef
- ↑ Template:SloanesRef
- ↑ Template:SloanesRef. See OEIS:A027563 for the list of these 126 numbers.
- ↑ J. D. Koninck, Those Fascinating Numbers, transl. author. American Mathematical Society (2008) p. 40.
- ↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.
Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.
In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.
Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region
Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.
15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.
To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010