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Number

1,678

1,678 is a composite number, even, a calendar year.

Arithmetic Number Ascending Digits Deficient Number Evil Number Recamán's Sequence Semiprime Smith Number Squarefree Year

Notable events — 1678 AD

  1. Aug 10 The Treaty of Nijmegen ends the Franco-Dutch War.
  2. Sep 6 The Popish Plot erupts in England.
  3. 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

Parity
Even
Digit count
4
Digit sum
22
Digit product
336
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
8,761
Recamán's sequence
a(824) = 1,678
Square (n²)
2,815,684
Cube (n³)
4,724,717,752
Divisor count
4
σ(n) — sum of divisors
2,520
φ(n) — Euler's totient
838
Sum of prime factors
841

Primality

Prime factorization: 2 × 839

Nearest primes: 1,669 (−9) · 1,693 (+15)

Divisors & multiples

All divisors (4)
1 · 2 · 839 (half) · 1678
Aliquot sum (sum of proper divisors): 842
Factor pairs (a × b = 1,678)
1 × 1678
2 × 839
First multiples
1,678 · 3,356 (double) · 5,034 · 6,712 · 8,390 · 10,068 · 11,746 · 13,424 · 15,102 · 16,780

Sums & aliquot sequence

As consecutive integers: 418 + 419 + 420 + 421
Aliquot sequence: 1,678 842 424 386 196 203 37 1 0 — terminates at zero

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)
In other bases
ternary (3) 2022011
quaternary (4) 122032
quinary (5) 23203
senary (6) 11434
septenary (7) 4615
nonary (9) 2264
undecimal (11) 1296
duodecimal (12) b7a
tridecimal (13) 9c1
tetradecimal (14) 87c
pentadecimal (15) 76d

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
In other modern scripts
Eastern Arabic ١٦٧٨ Devanagari १६७८ Bengali ১৬৭৮ Tamil ௧௬௭௮ Thai ๑๖๗๘ Tibetan ༡༦༧༨ Khmer ១៦៧៨ Lao ໑໖໗໘ Burmese ၁၆၇၈

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 decomposition

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.

Unicode codepoint
ڎ
Arabic Letter Dul
U+068E
Other letter (Lo)

UTF-8 encoding: DA 8E (2 bytes).

Hex color
#00068E
RGB(0, 6, 142)
IPv4 address

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.

Position in π

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.