Number

871

871 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Descending Digits Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Notable events — 871 AD

Apr 23 Alfred the Great becomes king of Wessex.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Historical context — 871 BC

Decade

This article concerns the period 879 BC – 870 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 871
Ended on: Thursday
December 31, 871
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 870s
870–879
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,155
1155 years before 2026.

In other calendars

Hebrew: 4631 / 4632 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 257 / 258 AH
Lunar calendar; year spans differ from Gregorian.
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: 1414 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 249 / 250 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 863 / 864 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 793 / 792 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 16
Digit product: 56
Digital root: 7
Palindrome: No
Bit width: 10 bits
Reversed: 178
Recamán's sequence: a(789) = 871
Square (n²): 758,641
Cube (n³): 660,776,311
Divisor count: 4
σ(n) — sum of divisors: 952
φ(n) — Euler's totient: 792
Sum of prime factors: 80

Primality

Prime factorization: 13 × 67

Nearest primes: 863 (−8) · 877 (+6)

Divisors & multiples

All divisors (4)

1 · 13 · 67 · 871

Aliquot sum (sum of proper divisors): 81

Factor pairs (a × b = 871)

1 × 871

13 × 67

First multiples

871 · 1,742 (double) · 2,613 · 3,484 · 4,355 · 5,226 · 6,097 · 6,968 · 7,839 · 8,710

Sums & aliquot sequence

As consecutive integers: 435 + 436 61 + 62 + … + 73 21 + 22 + … + 46

Aliquot sequence: 871 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: eight hundred seventy-one
Ordinal: 871st
Roman numeral: DCCCLXXI
Binary: 1101100111
Octal: 1547
Hexadecimal: 0x367
Base64: A2c=
One's complement: 64,664 (16-bit)

In other bases

ternary (3) 1012021

quaternary (4) 31213

quinary (5) 11441

senary (6) 4011

septenary (7) 2353

nonary (9) 1167

undecimal (11) 722

duodecimal (12) 607

tridecimal (13) 520

tetradecimal (14) 463

pentadecimal (15) 3d1

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ωοαʹ
Mayan (base 20): 𝋢·𝋣·𝋫
Chinese: 八百七十一
Chinese (financial): 捌佰柒拾壹

In other modern scripts

Eastern Arabic ٨٧١ Devanagari ८७१ Bengali ৮৭১ Tamil ௮௭௧ Thai ๘๗๑ Tibetan ༨༧༡ Khmer ៨៧១ Lao ໘໗໑ Burmese ၈၇၁

Digit at this position in famous constants

π — Pi (π): Digit 871 = 6
e — Euler's number (e): Digit 871 = 3
φ — Golden ratio (φ): Digit 871 = 8
√2 — Pythagoras's (√2): Digit 871 = 6
ln 2 — Natural log of 2: Digit 871 = 3
γ — Euler-Mascheroni (γ): Digit 871 = 4

Also seen as

Unicode codepoint

Combining Latin Small Letter U

U+0367

Non-spacing mark (Mn)

UTF-8 encoding: CD A7 (2 bytes).

Lookup U+0367 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000367

RGB(0, 3, 103)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.103.

Address: 0.0.3.103
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.103

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