Number

1,993

1,993 is a prime, odd, a calendar year.

1,993 (one thousand nine hundred ninety-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MCMXCIII and in binary, 11111001001.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,981 1,982 1,983 1,984 1,985 1,986 1,987 1,988 1,989 1,990 1,991 1,992 1,993 1,994 1,995 1,996 1,997 1,998 1,999 2,000 2,001 2,002 2,003 2,004 2,005

less more

Notable events — 1993 AD

Jan 1 Czechoslovakia splits into the Czech Republic and Slovakia.
Jan 1 The European Economic Community removes internal trade barriers to form a single market.
Feb 26 A truck bomb detonates beneath the World Trade Center in New York.
Apr 19 The Waco siege ends with a fire at the Branch Davidian compound; 76 die.
Sep 13 Israeli PM Yitzhak Rabin and Yasser Arafat sign the Oslo Accords on the White House lawn.

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: Friday
January 1, 1993
Ended on: Friday
December 31, 1993
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 11
Sunday, April 11, 1993
Decade: 1990s
1990–1999
Century: 20th century
1901–2000
Millennium: 2nd millennium
1001–2000
Years ago: 33
33 years before 2026.

In other calendars

Hebrew: 5753 / 5754 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1413 / 1414 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Rooster
Sexagenary cycle position 10 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2536 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1371 / 1372 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1985 / 1986 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1915 / 1914 Saka
Indian national calendar; year starts in March.
Japanese: Heisei 5
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Odd
Digit count: 4
Digit sum: 22
Digit product: 243
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 3,991
Recamán's sequence: a(3,765) = 1,993
Square (n²): 3,972,049
Cube (n³): 7,916,293,657
Divisor count: 2
σ(n) — sum of divisors: 1,994
φ(n) — Euler's totient: 1,992

Primality

1,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1993

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,993)

1 × 1993

First multiples

1,993 · 3,986 (double) · 5,979 · 7,972 · 9,965 · 11,958 · 13,951 · 15,944 · 17,937 · 19,930

Sums & aliquot sequence

As a sum of two squares: 12² + 43²

As consecutive integers: 996 + 997

Continued fraction of √n

√1,993 = [44; (1, 1, 1, 4, 29, 1, 1, 4, 1, 2, 1, 9, 5, 2, 10, 1, 2, 2, 1, 1, 6, 3, 1, 1, …)]

Period length 47 — the block in parentheses repeats forever.

Representations

In words: one thousand nine hundred ninety-three
Ordinal: 1993rd
Roman numeral: MCMXCIII
Binary: 11111001001
Octal: 3711
Hexadecimal: 0x7C9
Base64: B8k=
One's complement: 63,542 (16-bit)
Scientific notation: 1.993 × 10³
As a duration: 1,993 s = 33 minutes, 13 seconds

In other bases

ternary (3) 2201211

quaternary (4) 133021

quinary (5) 30433

senary (6) 13121

septenary (7) 5545

nonary (9) 2654

undecimal (11) 1552

duodecimal (12) 11a1

tridecimal (13) ba4

tetradecimal (14) a25

pentadecimal (15) 8cd

As an angle

1,993° = 5 × 360° + 193°

193° ≈ 3.368 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵αϡϟγʹ
Mayan (base 20): 𝋤·𝋳·𝋭
Chinese: 一千九百九十三
Chinese (financial): 壹仟玖佰玖拾參

In other modern scripts

Eastern Arabic ١٩٩٣ Devanagari १९९३ Bengali ১৯৯৩ Tamil ௧௯௯௩ Thai ๑๙๙๓ Tibetan ༡༩༩༣ Khmer ១៩៩៣ Lao ໑໙໙໓ Burmese ၁၉၉၃

Digit at this position in famous constants

π — Pi (π): Digit 1,993 = 8
e — Euler's number (e): Digit 1,993 = 5
φ — Golden ratio (φ): Digit 1,993 = 3
√2 — Pythagoras's (√2): Digit 1,993 = 0
ln 2 — Natural log of 2: Digit 1,993 = 9
γ — Euler-Mascheroni (γ): Digit 1,993 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,987 (gap of 6)
Next prime: 1,997 (gap of 4)

Pair status: cousin with 1997, sexy with 1987.

Unicode codepoint

Nko Digit Nine

U+07C9

Decimal digit (Nd)

UTF-8 encoding: DF 89 (2 bytes).

Lookup U+07C9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0007C9

RGB(0, 7, 201)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.201.

Address: 0.0.7.201
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.201

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

Musical pitch

Heard as a frequency, 1,993 Hz is closest to:

Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, +15¢)
Scientific pitch (C4 = 256 Hz): C7 (2048 Hz, -47¢ — about midway to B6)
Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, +17¢)

Position in π

The digit sequence 1993 first appears in π at position 36,605 of the decimal expansion (the 36,605ordinal-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 1993 on Pi Search ↗