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Number

1,683

1,683 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Year

Notable events — 1683 AD

  1. Sep 12 John III Sobieski defeats the Ottomans at the Siege of Vienna.
  2. Aug 18 The Rye House Plot against Charles II is uncovered.
  3. Oct 6 The first wave of Germans arrives at Germantown, Pennsylvania.

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
Friday
January 1, 1683
Ended on
Friday
December 31, 1683
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 18
Sunday, April 18, 1683
Decade
1680s
1680–1689
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
343
343 years before 2026.

In other calendars

Hebrew
5443 / 5444 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1094 / 1095 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Pig
Sexagenary cycle position 60 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2226 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1061 / 1062 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1675 / 1676 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1605 / 1604 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
3,861
Recamán's sequence
a(834) = 1,683
Square (n²)
2,832,489
Cube (n³)
4,767,078,987
Divisor count
12
σ(n) — sum of divisors
2,808
φ(n) — Euler's totient
960
Sum of prime factors
34

Primality

Prime factorization: 3 2 × 11 × 17

Nearest primes: 1,669 (−14) · 1,693 (+10)

Divisors & multiples

All divisors (12)
1 · 3 · 9 · 11 · 17 · 33 · 51 · 99 · 153 · 187 · 561 · 1683
Aliquot sum (sum of proper divisors): 1,125
Factor pairs (a × b = 1,683)
1 × 1683
3 × 561
9 × 187
11 × 153
17 × 99
33 × 51
First multiples
1,683 · 3,366 (double) · 5,049 · 6,732 · 8,415 · 10,098 · 11,781 · 13,464 · 15,147 · 16,830

Sums & aliquot sequence

As consecutive integers: 841 + 842 560 + 561 + 562 278 + 279 + 280 + 281 + 282 + 283 183 + 184 + … + 191
Aliquot sequence: 1,683 1,125 903 505 107 1 0 — terminates at zero

Representations

In words
one thousand six hundred eighty-three
Ordinal
1683rd
Roman numeral
MDCLXXXIII
Binary
11010010011
Octal
3223
Hexadecimal
0x693
Base64
BpM=
One's complement
63,852 (16-bit)
In other bases
ternary (3) 2022100
quaternary (4) 122103
quinary (5) 23213
senary (6) 11443
septenary (7) 4623
nonary (9) 2270
undecimal (11) 12a0
duodecimal (12) b83
tridecimal (13) 9c6
tetradecimal (14) 883
pentadecimal (15) 773

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αχπγʹ
Mayan (base 20)
𝋤·𝋤·𝋣
Chinese
一千六百八十三
Chinese (financial)
壹仟陸佰捌拾參
In other modern scripts
Eastern Arabic ١٦٨٣ Devanagari १६८३ Bengali ১৬৮৩ Tamil ௧௬௮௩ Thai ๑๖๘๓ Tibetan ༡༦༨༣ Khmer ១៦៨៣ Lao ໑໖໘໓ Burmese ၁၆၈၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,683 = 3
e — Euler's number (e)
Digit 1,683 = 8
φ — Golden ratio (φ)
Digit 1,683 = 1
√2 — Pythagoras's (√2)
Digit 1,683 = 8
ln 2 — Natural log of 2
Digit 1,683 = 8
γ — Euler-Mascheroni (γ)
Digit 1,683 = 8

Also seen as

Unicode codepoint
ړ
Arabic Letter Reh With Ring
U+0693
Other letter (Lo)

UTF-8 encoding: DA 93 (2 bytes).

Hex color
#000693
RGB(0, 6, 147)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.147.

Address
0.0.6.147
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.147

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

Position in π

The digit sequence 1683 first appears in π at position 6,242 of the decimal expansion (the 6,242ordinal-suffix:nd 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.