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Number

681

681 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree Year

Historical context — 681 AD

Calendar year

Year 681 (DCLXXXI) was a common year starting on Tuesday of the Julian calendar.

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Historical context — 681 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
Saturday
January 1, 681
Ended on
Saturday
December 31, 681
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
1,345
1345 years before 2026.

In other calendars

Hebrew
4441 / 4442 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
61 / 62 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Snake
Sexagenary cycle position 18 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1224 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
59 / 60 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
673 / 674 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
603 / 602 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
15
Digit product
48
Digital root
6
Palindrome
No
Bit width
10 bits
Reversed
186
Flips to (rotate 180°)
189
Recamán's sequence
a(2,262) = 681
Square (n²)
463,761
Cube (n³)
315,821,241
Divisor count
4
σ(n) — sum of divisors
912
φ(n) — Euler's totient
452
Sum of prime factors
230

Primality

Prime factorization: 3 × 227

Nearest primes: 677 (−4) · 683 (+2)

Divisors & multiples

All divisors (4)
1 · 3 · 227 · 681
Aliquot sum (sum of proper divisors): 231
Factor pairs (a × b = 681)
1 × 681
3 × 227
First multiples
681 · 1,362 (double) · 2,043 · 2,724 · 3,405 · 4,086 · 4,767 · 5,448 · 6,129 · 6,810

Sums & aliquot sequence

As consecutive integers: 340 + 341 226 + 227 + 228 111 + 112 + 113 + 114 + 115 + 116
Aliquot sequence: 681 231 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
six hundred eighty-one
Ordinal
681st
Roman numeral
DCLXXXI
Binary
1010101001
Octal
1251
Hexadecimal
0x2A9
Base64
Aqk=
One's complement
64,854 (16-bit)
In other bases
ternary (3) 221020
quaternary (4) 22221
quinary (5) 10211
senary (6) 3053
septenary (7) 1662
nonary (9) 836
undecimal (11) 56a
duodecimal (12) 489
tridecimal (13) 405
tetradecimal (14) 369
pentadecimal (15) 306

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
χπαʹ
Mayan (base 20)
𝋡·𝋮·𝋡
Chinese
六百八十一
Chinese (financial)
陸佰捌拾壹
In other modern scripts
Eastern Arabic ٦٨١ Devanagari ६८१ Bengali ৬৮১ Tamil ௬௮௧ Thai ๖๘๑ Tibetan ༦༨༡ Khmer ៦៨១ Lao ໖໘໑ Burmese ၆၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 681 = 7
e — Euler's number (e)
Digit 681 = 5
φ — Golden ratio (φ)
Digit 681 = 1
√2 — Pythagoras's (√2)
Digit 681 = 5
ln 2 — Natural log of 2
Digit 681 = 4
γ — Euler-Mascheroni (γ)
Digit 681 = 1

Also seen as

Unicode codepoint
ʩ
Latin Small Letter Feng Digraph
U+02A9
Lowercase letter (Ll)

UTF-8 encoding: CA A9 (2 bytes).

Hex color
#0002A9
RGB(0, 2, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.169.

Address
0.0.2.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.169

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

NANP area code 681

The number 681 is an active NANP area code (North American Numbering Plan).

Primary area
Statewide
Region
West Virginia
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.