1,327
1,327 is a prime, odd, a calendar year.
1,327 (one thousand three hundred twenty-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MCCCXXVII and in binary, 10100101111.
Interestingness
Historical context — 1327 AD
Calendar year
Year 1327 (MCCCXXVII) was a common year starting on Thursday of the Julian calendar.
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Year facts
- Year type
-
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
- Days in year
- 365
- ISO weeks
- 52
- Started on
-
Wednesday
January 1, 1327
- Ended on
-
Wednesday
December 31, 1327
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1320s
1320–1329
- Century
-
14th century
1301–1400
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
699
699 years before 2026.
In other calendars
- Hebrew
-
5087 / 5088 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
727 / 728 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Rabbit
Sexagenary cycle position 4 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1870 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
705 / 706 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1319 / 1320 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1249 / 1248 Saka
Indian national calendar; year starts in March.
Properties
Primality
1,327 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,327 = [36; (2, 2, 1, 35, 1, 2, 2, 72)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one thousand three hundred twenty-seven
- Ordinal
- 1327th
- Roman numeral
- MCCCXXVII
- Binary
- 10100101111
- Octal
- 2457
- Hexadecimal
- 0x52F
- Base64
- BS8=
- One's complement
- 64,208 (16-bit)
- Scientific notation
- 1.327 × 10³
- As a duration
- 1,327 s = 22 minutes, 7 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ατκζʹ
- Mayan (base 20)
- 𝋣·𝋦·𝋧
- Chinese
- 一千三百二十七
- Chinese (financial)
- 壹仟參佰貳拾柒
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,327 = 2
- e — Euler's number (e)
- Digit 1,327 = 5
- φ — Golden ratio (φ)
- Digit 1,327 = 9
- √2 — Pythagoras's (√2)
- Digit 1,327 = 2
- ln 2 — Natural log of 2
- Digit 1,327 = 1
- γ — Euler-Mascheroni (γ)
- Digit 1,327 = 5
Also seen as
UTF-8 encoding: D4 AF (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.47.
- Address
- 0.0.5.47
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.5.47
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,327 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +11¢)
- Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +49¢ — about midway to F6)
- Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +12¢)
The digit sequence 1327 first appears in π at position 3,794 of the decimal expansion (the 3,794ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.