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265 (two hundred sixty-five) is the natural number following 264 and preceding 266.

In mathematics

• 265 is an odd composite number with two prime factors.
• 265's sum of its proper divisors is 59.
• 265 is the number of derangements possible with 6 digits. That means that it is equivalent to !6.
• The number 265 is associated with the geometric shape known as the Vesica Piscis. This is shown by having 2 circles overlap in a way that the circumference of each circle touches the center of the other. Archimedes estimated that the ratio of the height of this shape to the width was 265:153 or approximately √3.
• 265 is the 22nd Padovan number which is defined by the two equations P(0)=P(1)=P(2)=1 and P(n)=P(n-2)+P(n-3) similar to the Fibonacci sequence.
• 265 is the 7th number to be the hypotenuse for two separate Pythagorean Triples. The other two values would be 23 and 264 or 96 and 247.
• 265 is the sum of two sets of two perfect squares. Those being 11 and 12 or 16 and 3.

In technology

• High Efficiency Video Coding also known as "H-265," is built upon H.264 and can compress 4k graphics at a quicker rate.
• In 2021, scientists developed waveguide-coupled germanium photodiodes, which produced a bandwidth of 265 GHz.
• The Garmin Forerunner 265 is a running watch that has both the functionality of a smartwatch and that of an exercising watch. It provides comprehensive exercising data for the user.

World Records

• The record for skipping rope on one leg in one minute was set by Gbenga Ezekiel at 265 times.
• On October 14, 2021, Johnson & Johnson achieved the Guinness World Record for the number of people simultaneously making heart hand gestures. There were 265 participants.
• On March 5, 2022, Sony achieved the largest synchronized car dance of 265 cars in Dubai.
• On May 16, 2010, Sai Manapragada received the Guinness World Record for the most languages sung in a single song which was 265.

Other fields

• The calendar years 265 AD and 265 BC.
• In the French Republican calendar, The year 265 would be a year 1 cycle and be in 2057.
• 265 is the number of several different highways in Canada, Japan, and the United States.
• According to the IUCN SCC Bumblebee Specialist Group, there are 265 species of bees in the bombus genus which contain the bumblebee.

References

1. "Facts about the integer". mathworld.wolfram.com.
2. "Proper divisors of 265". numbermatics.com.
3. "Derangement sequence". mathworld.wolfram.com.
4. "Vescica Piscis". mathworld.wolfram.com.
5. "Padovan sequence". mathworld.wolfram.com.
6. "Pythagorean triples list" (PDF). aleph0.clarku.edu.
7. "What is H-265". loc.gov. 19 November 2020.
8. Lischke, S.; Peczek, A.; Morgan, J. S.; Sun, K.; Steckler, D.; Yamamoto, Y.; Korndörfer, F.; Mai, C.; Marschmeyer, S.; Fraschke, M.; Krüger, A.; Beling, A.; Zimmermann, L. (November 18, 2021). "Germanium photodiode 265 GHz bandwidth". Nature Photonics. 15 (12): 925–931. doi:10.1038/s41566-021-00893-w. S2CID 245746761.
9. Sgobba, Christa (July 31, 2023). "Garmin Forerunner 265". self.com.
10. Hooper, Ben (February 15, 2023). "Skipping rope world record". www.guinnessworldrecords.com.
11. Zhan, Echo (December 20, 2021). "265 people make heart hand gestures". guinnessworldrecords.com.
12. "Guinness World Record for larges synchronized car dance". guinnessworldrecords.com.
13. "Guinness World Record for most languages in a song". guinnessworldrecords.com.
14. "French Republican Calendar Guide" (PDF). broadcast.lds.org.
15. "Bombus species count". bumblebeespecialistgroup.org.

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