1,678
1,678 is a composite number, even, a calendar year.
1,678 (one thousand six hundred seventy-eight) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 839. Written other ways, in Roman numerals it is MDCLXXVIII and in binary, 11010001110.
Interestingness
Notable events — 1678 AD
- Aug 10 The Treaty of Nijmegen ends the Franco-Dutch War.
- Sep 6 The Popish Plot erupts in England.
- Feb 18 John Bunyan publishes The Pilgrim's Progress.
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
-
Saturday
January 1, 1678
- Ended on
-
Saturday
December 31, 1678
- Friday the 13ths
-
1
One Friday the 13th this year.
- Easter Sunday
-
April 10
Sunday, April 10, 1678
- Decade
-
1670s
1670–1679
- Century
-
17th century
1601–1700
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
348
348 years before 2026.
In other calendars
- Hebrew
-
5438 / 5439 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
1088 / 1089 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Horse
Sexagenary cycle position 55 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2221 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
1056 / 1057 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1670 / 1671 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1600 / 1599 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 839
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,678 = [40; (1, 26, 3, 8, 1, 3, 2, 2, 1, 1, 2, 4, 6, 13, 2, 40, 2, 13, 6, 4, 2, 1, 1, 2, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one thousand six hundred seventy-eight
- Ordinal
- 1678th
- Roman numeral
- MDCLXXVIII
- Binary
- 11010001110
- Octal
- 3216
- Hexadecimal
- 0x68E
- Base64
- Bo4=
- One's complement
- 63,857 (16-bit)
- Scientific notation
- 1.678 × 10³
- As a duration
- 1,678 s = 27 minutes, 58 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αχοηʹ
- Mayan (base 20)
- 𝋤·𝋣·𝋲
- Chinese
- 一千六百七十八
- Chinese (financial)
- 壹仟陸佰柒拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,678 = 9
- e — Euler's number (e)
- Digit 1,678 = 4
- φ — Golden ratio (φ)
- Digit 1,678 = 7
- √2 — Pythagoras's (√2)
- Digit 1,678 = 5
- ln 2 — Natural log of 2
- Digit 1,678 = 6
- γ — Euler-Mascheroni (γ)
- Digit 1,678 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1678, here are decompositions:
- 11 + 1667 = 1678
- 41 + 1637 = 1678
- 59 + 1619 = 1678
- 71 + 1607 = 1678
- 107 + 1571 = 1678
- 167 + 1511 = 1678
- 179 + 1499 = 1678
- 191 + 1487 = 1678
Showing the first eight; more decompositions exist.
UTF-8 encoding: DA 8E (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.142.
- Address
- 0.0.6.142
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.6.142
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,678 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +17¢)
- Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, -45¢ — about midway to G♯6)
- Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +19¢)
The digit sequence 1678 first appears in π at position 15,764 of the decimal expansion (the 15,764ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.