1,693
1,693 is a prime, odd, a calendar year.
1,693 (one thousand six 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 MDCXCIII and in binary, 11010011101.
Interestingness
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
Primality
1,693 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,693 = [41; (6, 1, 5, 2, 8, 1, 2, 6, 1, 1, 20, 27, 2, 1, 1, 1, 1, 1, 1, 2, 27, 20, 1, 1, …)]
Period length 33 — the block in parentheses repeats forever.
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)
- Scientific notation
- 1.693 × 10³
- As a duration
- 1,693 s = 28 minutes, 13 seconds
As an angle
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
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
UTF-8 encoding: DA 9D (2 bytes).
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.
Heard as a frequency, 1,693 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +33¢)
- Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, -30¢)
- Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +34¢)
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.
Related reading
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.