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Number

1,682

1,682 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Year

Notable events — 1682 AD

  1. May 6 Louis XIV moves his court to Versailles.
  2. Apr 9 La Salle claims the Mississippi basin for France as Louisiana.
  3. 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

Parity
Even
Digit count
4
Digit sum
17
Digit product
96
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
2,861
Recamán's sequence
a(832) = 1,682
Square (n²)
2,829,124
Cube (n³)
4,758,586,568
Divisor count
6
σ(n) — sum of divisors
2,613
φ(n) — Euler's totient
812
Sum of prime factors
60

Primality

Prime factorization: 2 × 29 2

Nearest primes: 1,669 (−13) · 1,693 (+11)

Divisors & multiples

All divisors (6)
1 · 2 · 29 · 58 · 841 (half) · 1682
Aliquot sum (sum of proper divisors): 931
Factor pairs (a × b = 1,682)
1 × 1682
2 × 841
29 × 58
First multiples
1,682 · 3,364 (double) · 5,046 · 6,728 · 8,410 · 10,092 · 11,774 · 13,456 · 15,138 · 16,820

Sums & aliquot sequence

As a sum of two squares: 1² + 41² = 29² + 29²
As consecutive integers: 419 + 420 + 421 + 422 44 + 45 + … + 72
Aliquot sequence: 1,682 931 209 31 1 0 — terminates at zero

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)
In other bases
ternary (3) 2022022
quaternary (4) 122102
quinary (5) 23212
senary (6) 11442
septenary (7) 4622
nonary (9) 2268
undecimal (11) 129a
duodecimal (12) b82
tridecimal (13) 9c5
tetradecimal (14) 882
pentadecimal (15) 772

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
In other modern scripts
Eastern Arabic ١٦٨٢ Devanagari १६८२ Bengali ১৬৮২ Tamil ௧௬௮௨ Thai ๑๖๘๒ Tibetan ༡༦༨༢ Khmer ១៦៨២ Lao ໑໖໘໒ Burmese ၁၆၈၂

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 decomposition

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.

Unicode codepoint
ڒ
Arabic Letter Reh With Small V
U+0692
Other letter (Lo)

UTF-8 encoding: DA 92 (2 bytes).

Hex color
#000692
RGB(0, 6, 146)
IPv4 address

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.

Position in π

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.