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Number

1,891

1,891 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Flippable Hexagonal Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Triangular Year

Notable events — 1891 AD

  1. May 15 Pope Leo XIII issues the encyclical Rerum Novarum on labor and capital.
  2. Nov 11 Brazil's first republican constitution is officially signed.
  3. Jan 7 Construction of the Trans-Siberian Railway officially begins.
  4. Oct 16 The Mizque massacre kills indigenous workers in Bolivia.
  5. Undated A devastating famine begins in the Volga region of Russia.

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

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, 1891
Ended on
Thursday
December 31, 1891
Friday the 13ths
3
3 Friday the 13ths this year.
Easter Sunday
March 29
Sunday, March 29, 1891
Decade
1890s
1890–1899
Century
19th century
1801–1900
Millennium
2nd millennium
1001–2000
Years ago
135
135 years before 2026.

In other calendars

Hebrew
5651 / 5652 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1308 / 1309 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
2434 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1269 / 1270 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1883 / 1884 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1813 / 1812 Saka
Indian national calendar; year starts in March.
Japanese
Meiji 24
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Odd
Digit count
4
Digit sum
19
Digit product
72
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
1,981
Flips to (rotate 180°)
1,681
Recamán's sequence
a(7,962) = 1,891
Square (n²)
3,575,881
Cube (n³)
6,761,990,971
Divisor count
4
σ(n) — sum of divisors
1,984
φ(n) — Euler's totient
1,800
Sum of prime factors
92

Primality

Prime factorization: 31 × 61

Nearest primes: 1,889 (−2) · 1,901 (+10)

Divisors & multiples

All divisors (4)
1 · 31 · 61 · 1891
Aliquot sum (sum of proper divisors): 93
Factor pairs (a × b = 1,891)
1 × 1891
31 × 61
First multiples
1,891 · 3,782 (double) · 5,673 · 7,564 · 9,455 · 11,346 · 13,237 · 15,128 · 17,019 · 18,910

Sums & aliquot sequence

As consecutive integers: 945 + 946 46 + 47 + … + 76 1 + 2 + … + 61
Aliquot sequence: 1,891 93 35 13 1 0 — terminates at zero

Representations

In words
one thousand eight hundred ninety-one
Ordinal
1891st
Roman numeral
MDCCCXCI
Binary
11101100011
Octal
3543
Hexadecimal
0x763
Base64
B2M=
One's complement
63,644 (16-bit)
In other bases
ternary (3) 2121001
quaternary (4) 131203
quinary (5) 30031
senary (6) 12431
septenary (7) 5341
nonary (9) 2531
undecimal (11) 146a
duodecimal (12) 1117
tridecimal (13) b26
tetradecimal (14) 991
pentadecimal (15) 861

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵αωϟαʹ
Mayan (base 20)
𝋤·𝋮·𝋫
Chinese
一千八百九十一
Chinese (financial)
壹仟捌佰玖拾壹
In other modern scripts
Eastern Arabic ١٨٩١ Devanagari १८९१ Bengali ১৮৯১ Tamil ௧௮௯௧ Thai ๑๘๙๑ Tibetan ༡༨༩༡ Khmer ១៨៩១ Lao ໑໘໙໑ Burmese ၁၈၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,891 = 2
e — Euler's number (e)
Digit 1,891 = 4
φ — Golden ratio (φ)
Digit 1,891 = 5
√2 — Pythagoras's (√2)
Digit 1,891 = 0
ln 2 — Natural log of 2
Digit 1,891 = 3
γ — Euler-Mascheroni (γ)
Digit 1,891 = 2

Also seen as

Unicode codepoint
ݣ
Arabic Letter Keheh With Three Dots Above
U+0763
Other letter (Lo)

UTF-8 encoding: DD A3 (2 bytes).

Hex color
#000763
RGB(0, 7, 99)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.99.

Address
0.0.7.99
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.99

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

Position in π

The digit sequence 1891 first appears in π at position 3,956 of the decimal expansion (the 3,956ordinal-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.