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Number

1,277

1,277 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

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

Parity
Odd
Digit count
4
Digit sum
17
Digit product
98
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
7,721
Recamán's sequence
a(30,494) = 1,277
Square (n²)
1,630,729
Cube (n³)
2,082,440,933
Divisor count
2
σ(n) — sum of divisors
1,278
φ(n) — Euler's totient
1,276

Primality

1,277 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1277
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,277)
1 × 1277
First multiples
1,277 · 2,554 (double) · 3,831 · 5,108 · 6,385 · 7,662 · 8,939 · 10,216 · 11,493 · 12,770

Sums & aliquot sequence

As a sum of two squares: 11² + 34²
As consecutive integers: 638 + 639

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)
In other bases
ternary (3) 1202022
quaternary (4) 103331
quinary (5) 20102
senary (6) 5525
septenary (7) 3503
nonary (9) 1668
undecimal (11) a61
duodecimal (12) 8a5
tridecimal (13) 773
tetradecimal (14) 673
pentadecimal (15) 5a2

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
In other modern scripts
Eastern Arabic ١٢٧٧ Devanagari १२७७ Bengali ১২৭৭ Tamil ௧௨௭௭ Thai ๑๒๗๗ Tibetan ༡༢༧༧ Khmer ១២៧៧ Lao ໑໒໗໗ Burmese ၁၂၇၇

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

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,259 (gap of 18)
  • Next prime: 1,279 (gap of 2)

Pair status: twin with 1279.

Unicode codepoint
ӽ
Cyrillic Small Letter Ha With Hook
U+04FD
Lowercase letter (Ll)

UTF-8 encoding: D3 BD (2 bytes).

Hex color
#0004FD
RGB(0, 4, 253)
IPv4 address

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.

Position in π

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.