1,307
1,307 is a prime, odd, a calendar year.
1,307 (one thousand three hundred 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 MCCCVII and in binary, 10100011011.
Interestingness
Historical context — 1307 AD
Calendar year
Year 1307 (MCCCVII) was a common year starting on Sunday 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
-
Saturday
January 1, 1307
- Ended on
-
Saturday
December 31, 1307
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1300s
1300–1309
- Century
-
14th century
1301–1400
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
719
719 years before 2026.
In other calendars
- Hebrew
-
5067 / 5068 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
706 / 707 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Goat
Sexagenary cycle position 44 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1850 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
685 / 686 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1299 / 1300 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1229 / 1228 Saka
Indian national calendar; year starts in March.
Properties
Primality
1,307 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,307 = [36; (6, 1, 1, 3, 1, 2, 1, 1, 35, 1, 1, 2, 1, 3, 1, 1, 6, 72)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one thousand three hundred seven
- Ordinal
- 1307th
- Roman numeral
- MCCCVII
- Binary
- 10100011011
- Octal
- 2433
- Hexadecimal
- 0x51B
- Base64
- BRs=
- One's complement
- 64,228 (16-bit)
- Scientific notation
- 1.307 × 10³
- As a duration
- 1,307 s = 21 minutes, 47 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ατζʹ
- Mayan (base 20)
- 𝋣·𝋥·𝋧
- Chinese
- 一千三百零七
- Chinese (financial)
- 壹仟參佰零柒
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,307 = 6
- e — Euler's number (e)
- Digit 1,307 = 7
- φ — Golden ratio (φ)
- Digit 1,307 = 0
- √2 — Pythagoras's (√2)
- Digit 1,307 = 6
- ln 2 — Natural log of 2
- Digit 1,307 = 0
- γ — Euler-Mascheroni (γ)
- Digit 1,307 = 4
Also seen as
UTF-8 encoding: D4 9B (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.27.
- Address
- 0.0.5.27
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.5.27
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,307 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -15¢)
- Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +22¢)
- Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -14¢)
The digit sequence 1307 first appears in π at position 5,591 of the decimal expansion (the 5,591ordinal-suffix:st 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.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.