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Number

686

686 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Flippable Palindrome Recamán's Sequence Year

Historical context — 686 AD

Calendar year

Year 686 (DCLXXXVI) was a common year starting on Monday of the Julian calendar.

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Historical context — 686 BC

Decade

This article concerns the period 689 BC – 680 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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, 686
Ended on
Friday
December 31, 686
Friday the 13ths
1
One Friday the 13th this year.
Decade
680s
680–689
Century
7th century
601–700
Millennium
1st millennium
1–1000
Years ago
1,340
1340 years before 2026.

In other calendars

Hebrew
4446 / 4447 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
66 / 67 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1229 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
64 / 65 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
678 / 679 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
608 / 607 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
20
Digit product
288
Digital root
2
Palindrome
Yes
Bit width
10 bits
Flips to (rotate 180°)
989
Recamán's sequence
a(2,252) = 686
Square (n²)
470,596
Cube (n³)
322,828,856
Divisor count
8
σ(n) — sum of divisors
1,200
φ(n) — Euler's totient
294
Sum of prime factors
23

Primality

Prime factorization: 2 × 7 3

Nearest primes: 683 (−3) · 691 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 49 · 98 · 343 (half) · 686
Aliquot sum (sum of proper divisors): 514
Factor pairs (a × b = 686)
1 × 686
2 × 343
7 × 98
14 × 49
First multiples
686 · 1,372 (double) · 2,058 · 2,744 · 3,430 · 4,116 · 4,802 · 5,488 · 6,174 · 6,860

Sums & aliquot sequence

As consecutive integers: 170 + 171 + 172 + 173 95 + 96 + … + 101 11 + 12 + … + 38
Aliquot sequence: 686 514 260 328 302 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
six hundred eighty-six
Ordinal
686th
Roman numeral
DCLXXXVI
Binary
1010101110
Octal
1256
Hexadecimal
0x2AE
Base64
Aq4=
One's complement
64,849 (16-bit)
In other bases
ternary (3) 221102
quaternary (4) 22232
quinary (5) 10221
senary (6) 3102
septenary (7) 2000
nonary (9) 842
undecimal (11) 574
duodecimal (12) 492
tridecimal (13) 40a
tetradecimal (14) 370
pentadecimal (15) 30b

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
χπϛʹ
Mayan (base 20)
𝋡·𝋮·𝋦
Chinese
六百八十六
Chinese (financial)
陸佰捌拾陸
In other modern scripts
Eastern Arabic ٦٨٦ Devanagari ६८६ Bengali ৬৮৬ Tamil ௬௮௬ Thai ๖๘๖ Tibetan ༦༨༦ Khmer ៦៨៦ Lao ໖໘໖ Burmese ၆၈၆

Digit at this position in famous constants

π — Pi (π)
Digit 686 = 7
e — Euler's number (e)
Digit 686 = 3
φ — Golden ratio (φ)
Digit 686 = 7
√2 — Pythagoras's (√2)
Digit 686 = 8
ln 2 — Natural log of 2
Digit 686 = 3
γ — Euler-Mascheroni (γ)
Digit 686 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 686, here are decompositions:

  • 3 + 683 = 686
  • 13 + 673 = 686
  • 43 + 643 = 686
  • 67 + 619 = 686
  • 73 + 613 = 686
  • 79 + 607 = 686
  • 109 + 577 = 686
  • 139 + 547 = 686

Showing the first eight; more decompositions exist.

Unicode codepoint
ʮ
Latin Small Letter Turned H With Fishhook
U+02AE
Lowercase letter (Ll)

UTF-8 encoding: CA AE (2 bytes).

Hex color
#0002AE
RGB(0, 2, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.174.

Address
0.0.2.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.174

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000686
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.