365 (number)

← 364 365 366 →
List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	three hundred sixty-five
Ordinal	365th (three hundred sixty-fifth)
Factorization	5 × 73
Greek numeral	ΤΞΕ´
Roman numeral	CCCLXV, ccclxv
Binary	1011011012
Ternary	1111123
Senary	14056
Octal	5558
Duodecimal	26512
Hexadecimal	16D16

365 (three hundred [and] 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 ${\displaystyle 5\times 73}$. 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:

${\displaystyle 365=13^{2}+14^{2}}$

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

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. ^[1] Related to this, in Ontario, the driver's license learner's permit used to be called "365" ^{[2] [3]} because it was valid for only 366 days. Financial and scientific calculations often use a 365-day calendar to simplify daily rates.

References

1. Bunch, Bryan (2000). The Kingdom of Infinite Number. New York: W. H. Freeman & Company. p. 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.