# 365 (number)

 ← 364 365 366 →
Cardinal three hundred sixty-five
Ordinal 365th
(three hundred and sixty-fifth)
Factorization 5 × 73
Roman numeral CCCLXV
Binary 1011011012
Ternary 1111123
Quaternary 112314
Quinary 24305
Senary 14056
Octal 5558
Duodecimal 26512
Vigesimal I520
Base 36 A536

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.

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

$365 = 13^2 + 14^2$
$365 = 10^2 + 11^2 + 12^2$

There are no known prime with period 365, while at least one prime with period 1 to 364 are all known.

## Timekeeping

There are 365.2424 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.

## Religious meanings

### Judeo-Christian

In the Jewish faith there are 365 "negative commandments".[4] 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.[5]

## References

1. ^ Bryan Bunch, The Kingdom of Infinite Number. New York: W. H. Freeman & Company (2000): 169
2. ^ http://emily.icomm.ca/isms.html
3. ^ http://www.ontla.on.ca/hansard/committee_debates/35_parl/session3/resdev/r013.htm
4. ^ Judaism.com - The Commandments - Maimonides Two Volume Set By: Maimonides
5. ^ Catholic Encyclopedia: Abrasax