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Number

781

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

781 (seven hundred eighty-one) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 11 × 71. Written other ways, in Roman numerals it is DCCLXXXI and in binary, 1100001101.

Arithmetic Number Cube-Free Deficient Number Gapful Number Lazy Caterer Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

7 notable facts · grade B
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Historical context — 781 AD

Calendar year

Year 781 (DCCLXXXI) was a common year starting on Monday of the Julian calendar.

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

Historical context — 781 BC

Decade

This article concerns the period 789 BC – 780 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 781
Ended on
Thursday
December 31, 781
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
780s
780–789
Century
8th century
701–800
Millennium
1st millennium
1–1000
Years ago
1,245
1245 years before 2026.

In other calendars

Hebrew
4541 / 4542 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
164 / 165 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Rooster
Sexagenary cycle position 58 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1324 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
159 / 160 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
773 / 774 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
703 / 702 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
16
Digit product
56
Digital root
7
Palindrome
No
Bit width
10 bits
Reversed
187
Recamán's sequence
a(16,773) = 781
Square (n²)
609,961
Cube (n³)
476,379,541
Divisor count
4
σ(n) — sum of divisors
864
φ(n) — Euler's totient
700
Sum of prime factors
82

Primality

Prime factorization: 11 × 71

Nearest primes: 773 (−8) · 787 (+6)

Divisors & multiples

All divisors (4)
1 · 11 · 71 · 781
Aliquot sum (sum of proper divisors): 83
Factor pairs (a × b = 781)
1 × 781
11 × 71
First multiples
781 · 1,562 (double) · 2,343 · 3,124 · 3,905 · 4,686 · 5,467 · 6,248 · 7,029 · 7,810

Sums & aliquot sequence

As consecutive integers: 390 + 391 66 + 67 + … + 76 25 + 26 + … + 46
Aliquot sequence: 781 83 1 0 — terminates at zero

Continued fraction of √n

√781 = [27; (1, 17, 1, 1, 1, 5, 1, 1, 4, 1, 1, 5, 1, 1, 1, 17, 1, 54)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
seven hundred eighty-one
Ordinal
781st
Roman numeral
DCCLXXXI
Binary
1100001101
Octal
1415
Hexadecimal
0x30D
Base64
Aw0=
One's complement
64,754 (16-bit)
Scientific notation
7.81 × 10²
As a duration
781 s = 13 minutes, 1 second
In other bases
ternary (3) 1001221
quaternary (4) 30031
quinary (5) 11111
senary (6) 3341
septenary (7) 2164
nonary (9) 1057
undecimal (11) 650
duodecimal (12) 551
tridecimal (13) 481
tetradecimal (14) 3db
pentadecimal (15) 371
Palindromic in base 5

As an angle

781° = 2 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
ψπαʹ
Mayan (base 20)
𝋡·𝋳·𝋡
Chinese
七百八十一
Chinese (financial)
柒佰捌拾壹
In other modern scripts
Eastern Arabic ٧٨١ Devanagari ७८१ Bengali ৭৮১ Tamil ௭௮௧ Thai ๗๘๑ Tibetan ༧༨༡ Khmer ៧៨១ Lao ໗໘໑ Burmese ၇၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 781 = 1
e — Euler's number (e)
Digit 781 = 0
φ — Golden ratio (φ)
Digit 781 = 3
√2 — Pythagoras's (√2)
Digit 781 = 9
ln 2 — Natural log of 2
Digit 781 = 6
γ — Euler-Mascheroni (γ)
Digit 781 = 9

Also seen as

Unicode codepoint
̍
Combining Vertical Line Above
U+030D
Non-spacing mark (Mn)

UTF-8 encoding: CC 8D (2 bytes).

Hex color
#00030D
RGB(0, 3, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.13.

Address
0.0.3.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.13

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

NANP area code 781

The number 781 is an active NANP area code (North American Numbering Plan).

Primary area
Northern suburbs of Boston
Region
Massachusetts
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.

Musical pitch

Heard as a frequency, 781 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G5 (784 Hz, -7¢)
  • Scientific pitch (C4 = 256 Hz): G5 (767.1 Hz, +31¢)
  • Baroque pitch (A4 = 415 Hz): G♯5 (783.4 Hz, -5¢)

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