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Number

1,991

1,991 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Flippable Gapful Number Palindrome Recamán's Sequence Semiprime Squarefree Year

Notable events — 1991 AD

  1. Jan 17 Operation Desert Storm begins as a US-led coalition launches airstrikes against Iraq.
  2. Jun 15 Mount Pinatubo erupts in the Philippines — the second-largest eruption of the 20th century.
  3. Jun 25 Slovenia and Croatia declare independence from Yugoslavia, beginning the Yugoslav Wars.
  4. Aug 19 Hardliners launch a failed coup against Soviet leader Mikhail Gorbachev.
  5. Dec 25 Gorbachev resigns and the Soviet Union is formally dissolved.

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
52
Started on
Tuesday
January 1, 1991
Ended on
Tuesday
December 31, 1991
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 31
Sunday, March 31, 1991
Decade
1990s
1990–1999
Century
20th century
1901–2000
Millennium
2nd millennium
1001–2000
Years ago
35
35 years before 2026.

In other calendars

Hebrew
5751 / 5752 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1411 / 1412 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2534 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1369 / 1370 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1983 / 1984 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1913 / 1912 Saka
Indian national calendar; year starts in March.
Japanese
Heisei 3
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
81
Digital root
2
Palindrome
Yes
Bit width
11 bits
Flips to (rotate 180°)
1,661
Recamán's sequence
a(3,769) = 1,991
Square (n²)
3,964,081
Cube (n³)
7,892,485,271
Divisor count
4
σ(n) — sum of divisors
2,184
φ(n) — Euler's totient
1,800
Sum of prime factors
192

Primality

Prime factorization: 11 × 181

Nearest primes: 1,987 (−4) · 1,993 (+2)

Divisors & multiples

All divisors (4)
1 · 11 · 181 · 1991
Aliquot sum (sum of proper divisors): 193
Factor pairs (a × b = 1,991)
1 × 1991
11 × 181
First multiples
1,991 · 3,982 (double) · 5,973 · 7,964 · 9,955 · 11,946 · 13,937 · 15,928 · 17,919 · 19,910

Sums & aliquot sequence

As consecutive integers: 995 + 996 176 + 177 + … + 186 80 + 81 + … + 101
Aliquot sequence: 1,991 193 1 0 — terminates at zero

Representations

In words
one thousand nine hundred ninety-one
Ordinal
1991st
Roman numeral
MCMXCI
Binary
11111000111
Octal
3707
Hexadecimal
0x7C7
Base64
B8c=
One's complement
63,544 (16-bit)
In other bases
ternary (3) 2201202
quaternary (4) 133013
quinary (5) 30431
senary (6) 13115
septenary (7) 5543
nonary (9) 2652
undecimal (11) 1550
duodecimal (12) 119b
tridecimal (13) ba2
tetradecimal (14) a23
pentadecimal (15) 8cb

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵αϡϟαʹ
Mayan (base 20)
𝋤·𝋳·𝋫
Chinese
一千九百九十一
Chinese (financial)
壹仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ١٩٩١ Devanagari १९९१ Bengali ১৯৯১ Tamil ௧௯௯௧ Thai ๑๙๙๑ Tibetan ༡༩༩༡ Khmer ១៩៩១ Lao ໑໙໙໑ Burmese ၁၉၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,991 = 4
e — Euler's number (e)
Digit 1,991 = 0
φ — Golden ratio (φ)
Digit 1,991 = 4
√2 — Pythagoras's (√2)
Digit 1,991 = 8
ln 2 — Natural log of 2
Digit 1,991 = 9
γ — Euler-Mascheroni (γ)
Digit 1,991 = 4

Also seen as

Unicode codepoint
߇
Nko Digit Seven
U+07C7
Decimal digit (Nd)

UTF-8 encoding: DF 87 (2 bytes).

Hex color
#0007C7
RGB(0, 7, 199)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.199.

Address
0.0.7.199
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.199

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

Position in π

The digit sequence 1991 first appears in π at position 8,355 of the decimal expansion (the 8,355ordinal-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.