1,277
1,277 is a prime, odd, a calendar year.
1,277 (one thousand two hundred seventy-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 MCCLXXVII and in binary, 10011111101.
Interestingness
Historical context — 1277 AD
Calendar year
Year 1277 (MCCLXXVII) was a common year starting on Friday 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
-
Friday
January 1, 1277
- Ended on
-
Friday
December 31, 1277
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1270s
1270–1279
- Century
-
13th century
1201–1300
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
749
749 years before 2026.
In other calendars
- Hebrew
-
5037 / 5038 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
675 / 676 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Ox
Sexagenary cycle position 14 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1820 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
655 / 656 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1269 / 1270 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1199 / 1198 Saka
Indian national calendar; year starts in March.
Properties
Primality
1,277 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,277 = [35; (1, 2, 1, 3, 2, 5, 17, 1, 2, 6, 6, 2, 1, 17, 5, 2, 3, 1, 2, 1, 70)]
Period length 21 — the block in parentheses repeats forever.
Representations
- In words
- one thousand two hundred seventy-seven
- Ordinal
- 1277th
- Roman numeral
- MCCLXXVII
- Binary
- 10011111101
- Octal
- 2375
- Hexadecimal
- 0x4FD
- Base64
- BP0=
- One's complement
- 64,258 (16-bit)
- Scientific notation
- 1.277 × 10³
- As a duration
- 1,277 s = 21 minutes, 17 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ασοζʹ
- Mayan (base 20)
- 𝋣·𝋣·𝋱
- Chinese
- 一千二百七十七
- Chinese (financial)
- 壹仟貳佰柒拾柒
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,277 = 5
- e — Euler's number (e)
- Digit 1,277 = 1
- φ — Golden ratio (φ)
- Digit 1,277 = 9
- √2 — Pythagoras's (√2)
- Digit 1,277 = 3
- ln 2 — Natural log of 2
- Digit 1,277 = 0
- γ — Euler-Mascheroni (γ)
- Digit 1,277 = 7
Also seen as
UTF-8 encoding: D3 BD (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.253.
- Address
- 0.0.4.253
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.253
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,277 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, +45¢ — about midway to E6)
- Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, -18¢)
- Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, +46¢ — about midway to F6)
The digit sequence 1277 first appears in π at position 18,047 of the decimal expansion (the 18,047ordinal-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.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.