Number

1,876

1,876 is a composite number, even, a calendar year.

1,876 (one thousand eight hundred seventy-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 67. Its proper divisors sum to 1,932, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCCLXXVI and in binary, 11101010100.

Abundant Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,864 1,865 1,866 1,867 1,868 1,869 1,870 1,871 1,872 1,873 1,874 1,875 1,876 1,877 1,878 1,879 1,880 1,881 1,882 1,883 1,884 1,885 1,886 1,887 1,888

less more

Notable events — 1876 AD

Mar 7 Alexander Graham Bell receives a patent for the telephone.
Jun 25 Custer's 7th Cavalry is annihilated at the Battle of the Little Bighorn.
Aug 1 Colorado becomes the 38th US state.
Aug 13 Wagner's Der Ring des Nibelungen receives its first complete performance at Bayreuth.
Nov 7 The disputed Hayes-Tilden US presidential election is held.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Saturday
January 1, 1876
Ended on: Sunday
December 31, 1876
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 16
Sunday, April 16, 1876
Decade: 1870s
1870–1879
Century: 19th century
1801–1900
Millennium: 2nd millennium
1001–2000
Years ago: 150
150 years before 2026.
US presidential election: Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew: 5636 / 5637 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1292 / 1293 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2419 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1254 / 1255 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1868 / 1869 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1798 / 1797 Saka
Indian national calendar; year starts in March.
Japanese: Meiji 9
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Even
Digit count: 4
Digit sum: 22
Digit product: 336
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 6,781
Recamán's sequence: a(7,992) = 1,876
Square (n²): 3,519,376
Cube (n³): 6,602,349,376
Divisor count: 12
σ(n) — sum of divisors: 3,808
φ(n) — Euler's totient: 792
Sum of prime factors: 78

Primality

Prime factorization: 2 ² × 7 × 67

Nearest primes: 1,873 (−3) · 1,877 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 67 · 134 · 268 · 469 · 938 (half) · 1876

Aliquot sum (sum of proper divisors): 1,932

Factor pairs (a × b = 1,876)

1 × 1876

2 × 938

4 × 469

7 × 268

14 × 134

28 × 67

First multiples

1,876 · 3,752 (double) · 5,628 · 7,504 · 9,380 · 11,256 · 13,132 · 15,008 · 16,884 · 18,760

Sums & aliquot sequence

As consecutive integers: 265 + 266 + … + 271 231 + 232 + … + 238 6 + 7 + … + 61

Aliquot sequence: 1,876 → 1,932 → 3,444 → 5,964 → 10,164 → 19,628 → 19,684 → 22,876 → 26,404 → 30,044 → 33,796 → 38,780 → 54,628 → 54,684 → 111,300 → 263,676 → 465,668 — unresolved within range

Continued fraction of √n

√1,876 = [43; (3, 5, 12, 5, 3, 86)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one thousand eight hundred seventy-six
Ordinal: 1876th
Roman numeral: MDCCCLXXVI
Binary: 11101010100
Octal: 3524
Hexadecimal: 0x754
Base64: B1Q=
One's complement: 63,659 (16-bit)
Scientific notation: 1.876 × 10³
As a duration: 1,876 s = 31 minutes, 16 seconds

In other bases

ternary (3) 2120111

quaternary (4) 131110

quinary (5) 30001

senary (6) 12404

septenary (7) 5320

nonary (9) 2514

undecimal (11) 1456

duodecimal (12) 1104

tridecimal (13) b14

tetradecimal (14) 980

pentadecimal (15) 851

As an angle

1,876° = 5 × 360° + 76°

76° ≈ 1.326 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αωοϛʹ
Mayan (base 20): 𝋤·𝋭·𝋰
Chinese: 一千八百七十六
Chinese (financial): 壹仟捌佰柒拾陸

In other modern scripts

Eastern Arabic ١٨٧٦ Devanagari १८७६ Bengali ১৮৭৬ Tamil ௧௮௭௬ Thai ๑๘๗๖ Tibetan ༡༨༧༦ Khmer ១៨៧៦ Lao ໑໘໗໖ Burmese ၁၈၇၆

Digit at this position in famous constants

π — Pi (π): Digit 1,876 = 5
e — Euler's number (e): Digit 1,876 = 7
φ — Golden ratio (φ): Digit 1,876 = 8
√2 — Pythagoras's (√2): Digit 1,876 = 3
ln 2 — Natural log of 2: Digit 1,876 = 1
γ — Euler-Mascheroni (γ): Digit 1,876 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1876, here are decompositions:

3 + 1873 = 1876
5 + 1871 = 1876
29 + 1847 = 1876
53 + 1823 = 1876
89 + 1787 = 1876
167 + 1709 = 1876
179 + 1697 = 1876
239 + 1637 = 1876

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Beh With Two Dots Below And Dot Above

U+0754

Other letter (Lo)

UTF-8 encoding: DD 94 (2 bytes).

Lookup U+0754 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000754

RGB(0, 7, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.84.

Address: 0.0.7.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.84

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

Musical pitch

Heard as a frequency, 1,876 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯6 (1864.7 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, +48¢ — about midway to B6)
Baroque pitch (A4 = 415 Hz): B6 (1863.3 Hz, +12¢)

Position in π

The digit sequence 1876 first appears in π at position 5,259 of the decimal expansion (the 5,259ordinal-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.

Look up 1876 on Pi Search ↗