1,682
1,682 is a composite number, even, a calendar year.
1,682 (one thousand six hundred eighty-two) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2 × 29². Written other ways, in Roman numerals it is MDCLXXXII and in binary, 11010010010.
Interestingness
Notable events — 1682 AD
- May 6 Louis XIV moves his court to Versailles.
- Apr 9 La Salle claims the Mississippi basin for France as Louisiana.
- Feb 10 Peter the Great becomes Tsar 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, 1682
- Ended on
-
Thursday
December 31, 1682
- Friday the 13ths
-
3
3 Friday the 13ths this year.
- Easter Sunday
-
March 29
Sunday, March 29, 1682
- Decade
-
1680s
1680–1689
- Century
-
17th century
1601–1700
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
344
344 years before 2026.
In other calendars
- Hebrew
-
5442 / 5443 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
1092 / 1094 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Water zodiac:Dog
Sexagenary cycle position 59 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2225 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
1060 / 1061 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1674 / 1675 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1604 / 1603 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 29 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,682 = [41; (82)]
Period length 1 — the block in parentheses repeats forever.
Representations
- In words
- one thousand six hundred eighty-two
- Ordinal
- 1682nd
- Roman numeral
- MDCLXXXII
- Binary
- 11010010010
- Octal
- 3222
- Hexadecimal
- 0x692
- Base64
- BpI=
- One's complement
- 63,853 (16-bit)
- Scientific notation
- 1.682 × 10³
- As a duration
- 1,682 s = 28 minutes, 2 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵αχπβʹ
- Mayan (base 20)
- 𝋤·𝋤·𝋢
- Chinese
- 一千六百八十二
- Chinese (financial)
- 壹仟陸佰捌拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,682 = 4
- e — Euler's number (e)
- Digit 1,682 = 8
- φ — Golden ratio (φ)
- Digit 1,682 = 7
- √2 — Pythagoras's (√2)
- Digit 1,682 = 8
- ln 2 — Natural log of 2
- Digit 1,682 = 1
- γ — Euler-Mascheroni (γ)
- Digit 1,682 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1682, here are decompositions:
- 13 + 1669 = 1682
- 19 + 1663 = 1682
- 61 + 1621 = 1682
- 73 + 1609 = 1682
- 103 + 1579 = 1682
- 139 + 1543 = 1682
- 151 + 1531 = 1682
- 193 + 1489 = 1682
Showing the first eight; more decompositions exist.
UTF-8 encoding: DA 92 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.146.
- Address
- 0.0.6.146
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.6.146
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,682 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +22¢)
- Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, -41¢)
- Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +23¢)
The digit sequence 1682 first appears in π at position 2,640 of the decimal expansion (the 2,640ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.