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365 (number)

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Natural number
← 364 365 366 →
0 100 200 300 400 500 600 700 800 900
Cardinalthree hundred sixty-five
Ordinal365th
(three hundred sixty-fifth)
Factorization5 × 73
Greek numeralΤΞΕ´
Roman numeralCCCLXV
Binary1011011012
Ternary1111123
Senary14056
Octal5558
Duodecimal26512
Hexadecimal16D16

365 (three hundred sixty-five) is the natural number following 364 and preceding 366.

Mathematics

365 is a semiprime centered square number. It is also the fifth 38-gonal number.

For multiplication, it is calculated as 5 × 73 {\displaystyle 5\times 73} . Both 5 and 73 are prime numbers.

It is the smallest number that has more than one expression as a sum of consecutive square numbers:

365 = 13 2 + 14 2 {\displaystyle 365=13^{2}+14^{2}}
365 = 10 2 + 11 2 + 12 2 {\displaystyle 365=10^{2}+11^{2}+12^{2}}

There are no known primes with period 365, while at least one prime with each of the periods 1 to 364 is known.

Timekeeping

There are 365.2422 solar days in the mean tropical year. Several solar calendars have a year containing 365 days. Related to this, in Ontario, the driver's license learner's permit used to be called "365" because it was valid for only 366 days. Financial and scientific calculations often use a 365-day calendar to simplify daily rates.

Religious meanings

Judaism and Christianity

In the Jewish faith there are 365 "negative commandments". Also, the Bible states that Enoch lived for 365 years before entering heaven alive (see Genesis 5:23–24).

Gnosticism

The letters of the deity Abraxas, in the Greek notation, make up the number 365. This number was subsequently viewed as signifying the levels of heaven.

References

  1. Bryan Bunch, The Kingdom of Infinite Number. New York: W. H. Freeman & Company (2000): 169
  2. "An American's Guide to Canada: Canadianisms". emily.icomm.ca. Archived from the original on 21 August 1999. Retrieved 22 May 2022.
  3. "Legislative Assembly of Ontario. Hansard". 7 September 1993. Archived from the original on 2005-12-07. Retrieved 2006-03-31.
  4. "The Commandments - Maimonides". Retrieved 5 May 2015.
  5. "CATHOLIC ENCYCLOPEDIA: Abrasax". Retrieved 5 May 2015.
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