Number

882

882 is a composite number, even, a calendar year.

882 (eight hundred eighty-two) is an even 3-digit number. It is a composite number with 18 divisors, and factors as 2 × 3² × 7². Its proper divisors sum to 1,341, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCCLXXXII and in binary, 1101110010.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894

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Historical context — 882 AD

Calendar year

Year 882 (DCCCLXXXII) was a common year starting on Monday of the Julian calendar.

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

Historical context — 882 BC

Decade

This article concerns the period 889 BC – 880 BC.

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 882
Ended on: Thursday
December 31, 882
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 880s
880–889
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,144
1144 years before 2026.

In other calendars

Hebrew: 4642 / 4643 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 268 / 269 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1425 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 260 / 261 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 874 / 875 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 804 / 803 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 18
Digit product: 128
Digital root: 9
Palindrome: No
Bit width: 10 bits
Reversed: 288
Recamán's sequence: a(771) = 882
Square (n²): 777,924
Cube (n³): 686,128,968
Divisor count: 18
σ(n) — sum of divisors: 2,223
φ(n) — Euler's totient: 252
Sum of prime factors: 22

Primality

Prime factorization: 2 × 3 ² × 7 ²

Nearest primes: 881 (−1) · 883 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 49 · 63 · 98 · 126 · 147 · 294 · 441 (half) · 882

Aliquot sum (sum of proper divisors): 1,341

Factor pairs (a × b = 882)

1 × 882

2 × 441

3 × 294

6 × 147

7 × 126

9 × 98

14 × 63

18 × 49

21 × 42

First multiples

882 · 1,764 (double) · 2,646 · 3,528 · 4,410 · 5,292 · 6,174 · 7,056 · 7,938 · 8,820

Sums & aliquot sequence

As a sum of two squares: 21² + 21²

As consecutive integers: 293 + 294 + 295 219 + 220 + 221 + 222 123 + 124 + … + 129 94 + 95 + … + 102

Aliquot sequence: 882 → 1,341 → 609 → 351 → 209 → 31 → 1 → 0 — terminates at zero

Continued fraction of √n

√882 = [29; (1, 2, 3, 6, 3, 2, 1, 58)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: eight hundred eighty-two
Ordinal: 882nd
Roman numeral: DCCCLXXXII
Binary: 1101110010
Octal: 1562
Hexadecimal: 0x372
Base64: A3I=
One's complement: 64,653 (16-bit)
Scientific notation: 8.82 × 10²
As a duration: 882 s = 14 minutes, 42 seconds

In other bases

ternary (3) 1012200

quaternary (4) 31302

quinary (5) 12012

senary (6) 4030

septenary (7) 2400

nonary (9) 1180

undecimal (11) 732

duodecimal (12) 616

tridecimal (13) 52b

tetradecimal (14) 470

pentadecimal (15) 3dc

Palindromic in base 12

As an angle

882° = 2 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ωπβʹ
Mayan (base 20): 𝋢·𝋤·𝋢
Chinese: 八百八十二
Chinese (financial): 捌佰捌拾貳

In other modern scripts

Eastern Arabic ٨٨٢ Devanagari ८८२ Bengali ৮৮২ Tamil ௮௮௨ Thai ๘๘๒ Tibetan ༨༨༢ Khmer ៨៨២ Lao ໘໘໒ Burmese ၈၈၂

Digit at this position in famous constants

π — Pi (π): Digit 882 = 8
e — Euler's number (e): Digit 882 = 5
φ — Golden ratio (φ): Digit 882 = 0
√2 — Pythagoras's (√2): Digit 882 = 1
ln 2 — Natural log of 2: Digit 882 = 3
γ — Euler-Mascheroni (γ): Digit 882 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 882, here are decompositions:

5 + 877 = 882
19 + 863 = 882
23 + 859 = 882
29 + 853 = 882
43 + 839 = 882
53 + 829 = 882
59 + 823 = 882
61 + 821 = 882

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Capital Letter Archaic Sampi

U+0372

Uppercase letter (Lu)

UTF-8 encoding: CD B2 (2 bytes).

Lookup U+0372 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000372

RGB(0, 3, 114)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.114.

Address: 0.0.3.114
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.114

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

Musical pitch

Heard as a frequency, 882 Hz is closest to:

Concert pitch (A4 = 440 Hz): A5 (880 Hz, +4¢)
Scientific pitch (C4 = 256 Hz): A5 (861.1 Hz, +42¢)
Baroque pitch (A4 = 415 Hz): A♯5 (879.4 Hz, +5¢)