265 (number)

From HandWiki
Short description: Natural number
← 264 265 266 →
Cardinaltwo hundred sixty-five
Ordinal265th
(two hundred sixty-fifth)
Factorization5 × 53
Divisors1, 5, 53, 265
Greek numeralΣΞΕ´
Roman numeralCCLXV
Binary1000010012
Ternary1002113
Quaternary100214
Quinary20305
Senary11216
Octal4118
Duodecimal1A112
Hexadecimal10916
VigesimalD520
Base 367D36

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

In mathematics

  • 265 is an odd composite number with two prime factors.[1]
  • 265's sum of its proper divisors is 59.[2]
  • 265 is the number of derangements possible with 6 digits. That means that it is equivalent to !6.[3]
  • 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.[4]
  • 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.[5]
  • 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.[6]
  • 265 is the sum of two sets of two perfect squares. Those being 11 and 12 or 16 and 3.

In technology

World Records

  • The record for skipping rope on one leg in one minute was set by Gbenga Ezekiel at 265 times.[10]
  • 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.[11]
  • On March 5, 2022, Sony achieved the largest synchronized car dance of 265 cars in Dubai.[12]
  • On May 16, 2010, Sai Manapragada received the Guinness World Record for the most languages sung in a single song which was 265.[13]

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.[14]
  • 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.[15]

References

  1. "Facts about the integer". https://mathworld.wolfram.com/CompositeNumber.html. 
  2. "Proper divisors of 265". https://numbermatics.com/n/265/. 
  3. "Derangement sequence". https://mathworld.wolfram.com/Derangement.html. 
  4. "Vescica Piscis". https://mathworld.wolfram.com/VesicaPiscis.html. 
  5. "Padovan sequence". https://mathworld.wolfram.com/PadovanSequence.html. 
  6. "Pythagorean triples list". http://aleph0.clarku.edu/~djoyce/numbers/pyth.pdf. 
  7. "What is H-265". 19 November 2020. https://www.loc.gov/preservation/digital/formats/fdd/fdd000530.shtml. 
  8. Lischke, S.; Peczek, A.; Morgan, J. S.; Sun, K.; Steckler, D.; Yamamoto, Y.; Korndörfer, F.; Mai, C. et al. (November 18, 2021). "Germanium photodiode 265 GHz bandwidth". Nature Photonics 15 (12): 925–931. doi:10.1038/s41566-021-00893-w. https://www.nature.com/articles/s41566-021-00893-w. 
  9. Sgobba, Christa (July 31, 2023). "Garmin Forerunner 265". https://www.self.com/review/garmin-forerunner-265-smartwatch. 
  10. Hooper, Ben (February 15, 2023). "Skipping rope world record". https://www.guinnessworldrecords.com/world-records/97725-most-skips-in-one-minute-on-one-leg. 
  11. Zhan, Echo (December 20, 2021). "265 people make heart hand gestures". https://www.guinnessworldrecords.com/news/corporate/2021/12/most-people-making-heart-gesture-online-simultaneously. 
  12. "Guinness World Record for larges synchronized car dance". https://www.guinnessworldrecords.com/world-records/388302-largest-synchronised-car-dance. 
  13. "Guinness World Record for most languages in a song". https://www.guinnessworldrecords.com/world-records/90669-most-languages-performed-in-a-song-individual. 
  14. "French Republican Calendar Guide". https://broadcast.lds.org/elearning/FHD/Community/en/FamilySearch/Handwriting/French/Lesson2/Handouts/French_Republican_Calendar.pdf. 
  15. "Bombus species count". https://bumblebeespecialistgroup.org/#:~:text=There%20are%20approximately%20265%20species,status%20of%20the%20entire%20group..