275 (number) explained

Number:	275
Divisor:	1, 5, 11, 25, 55, 275

275 (two hundred [and] seventy-five) is the natural number following 274 and preceding 276.

In mathematics

• 275 is an odd composite number with 2 prime factors.^[1]
• 275 is equivalent to the number of partitions of 28 when no partition occurs only once. Partitions are the number of ways of writing a number as a sum of other positive integers.^[2]
• 275 is the sum of fifth powers of the first two primes (2^5 + 3^5 = 275).
• 275 is the maximum number of pieces made by cutting an annulus with 22 cuts.^[3]
• 275 is the smallest non semiprime that follows the equations n>1 and the greatest common denominator of n and b^n-b is 1 for some value of b.

World Records

• In May 2011, Angry Birds ended its 275 day streak of the best-selling app in the Apple App Store.^[4]
• On November 14, 2007, the Guinness World Record for the greatest number of people dressed as mobile phones at 275 people. It was completed in Puerto Rico.^[5]
• On April 11, 2015, the largest welding lesson was completed in Willowbrook, Illinois. There were 275 attendees.^[6]
• The greatest number of certificates that a show dog earned as 275 certificates. It was earned by German Shepherd Mystique.^[7]

Other fields

• The calendar years 275 AD and 275 BC.
• In the French Republican calendar, The year 275 would be a year 10 cycle and be in 2065.^[8]
• 275 is the number of several highways in Canada, India, Japan, and the United States
• 275 Sapientia is an asteroid in the asteroid belt. It is a C-type asteroid that was discovered by Johann Palisa.^[9]

Notes and References

1. Web site: Composite numbers. mathworld.wolfram.com.
2. Web site: Partition information. mathworld.wolfram.com.
3. n*(n+3)/2.
4. Web site: 275 streak of best selling app in the itunes store. www.guinnessworldrecords.com.
5. Web site: 275 people dressed as mobile phones. www.guinnessworldrecords.com.
6. Web site: 275 person welding lesson. www.guinnessworldrecords.com.
7. Web site: 275 certificates by a show dog. www.guinnessworldrecords.com.
8. Web site: French Republican Calendar Guide. broadcast.lds.org.
9. Web site: 275 Sapentia information. www.spacereference.org.