Number

1,693

1,693 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree Year

Notable events — 1693 AD

Apr 25 The College of William & Mary is chartered in Virginia.
Jul 29 France defeats the Allies at Neerwinden.
Jan 11 Earthquake in Sicily destroys Catania and other cities.

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, 1693
Ended on: Thursday
December 31, 1693
Friday the 13ths: 3
3 Friday the 13ths this year.
Easter Sunday: March 22
Sunday, March 22, 1693
Decade: 1690s
1690–1699
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 333
333 years before 2026.

In other calendars

Hebrew: 5453 / 5454 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1104 / 1105 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: 2236 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1071 / 1072 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1685 / 1686 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1615 / 1614 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 19
Digit product: 162
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 3,961
Recamán's sequence: a(954) = 1,693
Square (n²): 2,866,249
Cube (n³): 4,852,559,557
Divisor count: 2
σ(n) — sum of divisors: 1,694
φ(n) — Euler's totient: 1,692

Primality

1,693 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1693

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,693)

1 × 1693

First multiples

1,693 · 3,386 (double) · 5,079 · 6,772 · 8,465 · 10,158 · 11,851 · 13,544 · 15,237 · 16,930

Sums & aliquot sequence

As a sum of two squares: 18² + 37²

As consecutive integers: 846 + 847

Representations

In words: one thousand six hundred ninety-three
Ordinal: 1693rd
Roman numeral: MDCXCIII
Binary: 11010011101
Octal: 3235
Hexadecimal: 0x69D
Base64: Bp0=
One's complement: 63,842 (16-bit)

In other bases

ternary (3) 2022201

quaternary (4) 122131

quinary (5) 23233

senary (6) 11501

septenary (7) 4636

nonary (9) 2281

undecimal (11) 12aa

duodecimal (12) b91

tridecimal (13) a03

tetradecimal (14) 88d

pentadecimal (15) 77d

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵αχϟγʹ
Mayan (base 20): 𝋤·𝋤·𝋭
Chinese: 一千六百九十三
Chinese (financial): 壹仟陸佰玖拾參

In other modern scripts

Eastern Arabic ١٦٩٣ Devanagari १६९३ Bengali ১৬৯৩ Tamil ௧௬௯௩ Thai ๑๖๙๓ Tibetan ༡༦༩༣ Khmer ១៦៩៣ Lao ໑໖໙໓ Burmese ၁၆၉၃

Digit at this position in famous constants

π — Pi (π): Digit 1,693 = 7
e — Euler's number (e): Digit 1,693 = 9
φ — Golden ratio (φ): Digit 1,693 = 3
√2 — Pythagoras's (√2): Digit 1,693 = 3
ln 2 — Natural log of 2: Digit 1,693 = 8
γ — Euler-Mascheroni (γ): Digit 1,693 = 7

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,669 (gap of 24)
Next prime: 1,697 (gap of 4)

Pair status: cousin with 1697.

Unicode codepoint

Arabic Letter Sad With Two Dots Below

U+069D

Other letter (Lo)

UTF-8 encoding: DA 9D (2 bytes).

Lookup U+069D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00069D

RGB(0, 6, 157)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.157.

Address: 0.0.6.157
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.157

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

Position in π

The digit sequence 1693 first appears in π at position 40 of the decimal expansion (the 40ordinal-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 1693 on Pi Search ↗