## Thursday, June 16, 2011

### 452 for you

This week I am focusing on the sequential numbers of my posts (as counted by Google Blogger software) and looking for mathematical or historical and cultural significance in those numbers.

Here's what I have learned today about 452:
• It is an integer, even number, rational number and a composite number.
• Here are its factors: 452 x 1, 226 x 2 and 113 x 4 (113 is a prime number)
• Here are some of its multiples: 452, 904, 1356, 1808, 2260, 2712, 3164, 3616, 4068, 4520, 4972, 5424, etc.
• 452 is CDLII  (or CCCCLII) in Roman Numerals
• 452 is NOT an area code for US telephones, but is the international code for Vietnam
• It's the number of a very nice Lego Lunar Exploration Set. I don't have one but it looks fun.
• It's the model number of an enormous vacuum cleaner that you can attach to your riding lawn-mower (this image looks a bit like the Lego set, doesn't it?).
•  It's the model number of a steam locomotive which has a vacuum attached to its front end; currently being used to clean up tracks in India. [Click image to enlarge]

• A P0452 code is a diagnostic trouble code in your car. It's related to the fuel vapor recovery system in your fuel tank. A fuel tank pressure sensor responds to changes in the tank's pressure or vacuum so your engine management system can detect leaks in your car's fuel system. A loose fuel filler cap is a common accidental cause of this code.
(I appear to have gotten distracted from the purpose of this blog, which was to show the mathematical implications of 452 ... have I uncovered some mystical relationship between the word Vacuum and the number 452?)
• 452 is the Gulfstream serial number for this private jet, which is currently for sale.  It does not have a central vacuum system.

• 452 is a bus route in London, England.

And finally, here's one last vacuum-free 452 relationship:
• Regulation 452 is the Family Medical Leave Act (FMLA) which allows up to 12 weeks of unpaid leave every 12 months to eligible employees (employed for a total of 12 months and worked 1,250 hours in the year prior to the date of leave). The employer must have at least 50 workers within a 75 mile radius of the employee's workplace. Primary reasons for FMLA leave are (1) employee has a serious health condition; (2) to care for a serious health condition of spouse, child, or parent; or (3) maternity or paternity leave.

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