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Number

271

271 is a prime, odd, a calendar year.

271 (two hundred seventy-one) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is CCLXXI and in binary, 100001111.

Arithmetic Number Centered Hexagonal Cuban Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Interestingness

9 notable facts · grade A
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Historical context — 271 AD

Calendar year

Year 271 (CCLXXI) was a common year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 271 BC

Calendar year

Year 271 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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
Sunday
January 1, 271
Ended on
Sunday
December 31, 271
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
270s
270–279
Century
3rd century
201–300
Millennium
1st millennium
1–1000
Years ago
1,755
1755 years before 2026.

In other calendars

Hebrew
4031 / 4032 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Metal zodiac:Rabbit
Sexagenary cycle position 28 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
814 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
263 / 264 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
193 / 192 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
10
Digit product
14
Digital root
1
Palindrome
No
Bit width
9 bits
Reversed
172
Recamán's sequence
a(141) = 271
Square (n²)
73,441
Cube (n³)
19,902,511
Divisor count
2
σ(n) — sum of divisors
272
φ(n) — Euler's totient
270

Primality

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

Divisors & multiples

All divisors (2)
1 · 271
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 271)
1 × 271
First multiples
271 · 542 (double) · 813 · 1,084 · 1,355 · 1,626 · 1,897 · 2,168 · 2,439 · 2,710

Sums & aliquot sequence

As consecutive integers: 135 + 136

Continued fraction of √n

√271 = [16; (2, 6, 10, 1, 4, 1, 1, 2, 1, 2, 1, 15, 1, 2, 1, 2, 1, 1, 4, 1, 10, 6, 2, 32)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
two hundred seventy-one
Ordinal
271st
Roman numeral
CCLXXI
Binary
100001111
Octal
417
Hexadecimal
0x10F
Base64
AQ8=
One's complement
65,264 (16-bit)
Scientific notation
2.71 × 10²
As a duration
271 s = 4 minutes, 31 seconds
In other bases
ternary (3) 101001
quaternary (4) 10033
quinary (5) 2041
senary (6) 1131
septenary (7) 535
nonary (9) 331
undecimal (11) 227
duodecimal (12) 1a7
tridecimal (13) 17b
tetradecimal (14) 155
pentadecimal (15) 131
Palindromic in base 7, base 15

As an angle

271°
271° ≈ 4.73 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
σοαʹ
Mayan (base 20)
𝋭·𝋫
Chinese
二百七十一
Chinese (financial)
貳佰柒拾壹
In other modern scripts
Eastern Arabic ٢٧١ Devanagari २७१ Bengali ২৭১ Tamil ௨௭௧ Thai ๒๗๑ Tibetan ༢༧༡ Khmer ២៧១ Lao ໒໗໑ Burmese ၂၇၁

Digit at this position in famous constants

π — Pi (π)
Digit 271 = 0
e — Euler's number (e)
Digit 271 = 3
φ — Golden ratio (φ)
Digit 271 = 0
√2 — Pythagoras's (√2)
Digit 271 = 4
ln 2 — Natural log of 2
Digit 271 = 6
γ — Euler-Mascheroni (γ)
Digit 271 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 269 (gap of 2)
  • Next prime: 277 (gap of 6)

Pair status: twin with 269, sexy with 277.

Unicode codepoint
ď
Latin Small Letter D With Caron
U+010F
Lowercase letter (Ll)

UTF-8 encoding: C4 8F (2 bytes).

Hex color
#00010F
RGB(0, 1, 15)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.15.

Address
0.0.1.15
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.15

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 271 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯4 (277.2 Hz, -39¢)
  • Scientific pitch (C4 = 256 Hz): C♯4 (271.2 Hz, -1¢)
  • Baroque pitch (A4 = 415 Hz): D4 (277 Hz, -38¢)

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.