Number

771

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

771 (seven hundred seventy-one) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 3 × 257. Written other ways, in Roman numerals it is DCCLXXI and in binary, 1100000011.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number Semiprime Squarefree Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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Historical context — 771 AD

Calendar year

The year 771 (DCCLXXI) was a common year starting on Tuesday of the Julian calendar.

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

Historical context — 771 BC

Decade

This article concerns the period 779 BC – 770 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: 52
Started on: Friday
January 1, 771
Ended on: Friday
December 31, 771
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 770s
770–779
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,255
1255 years before 2026.

In other calendars

Hebrew: 4531 / 4532 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 154 / 155 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Pig
Sexagenary cycle position 48 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1314 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 149 / 150 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 763 / 764 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 693 / 692 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 15
Digit product: 49
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 177
Recamán's sequence: a(889) = 771
Square (n²): 594,441
Cube (n³): 458,314,011
Divisor count: 4
σ(n) — sum of divisors: 1,032
φ(n) — Euler's totient: 512
Sum of prime factors: 260

Primality

Prime factorization: 3 × 257

Nearest primes: 769 (−2) · 773 (+2)

Divisors & multiples

All divisors (4)

1 · 3 · 257 · 771

Aliquot sum (sum of proper divisors): 261

Factor pairs (a × b = 771)

1 × 771

3 × 257

First multiples

771 · 1,542 (double) · 2,313 · 3,084 · 3,855 · 4,626 · 5,397 · 6,168 · 6,939 · 7,710

Sums & aliquot sequence

As consecutive integers: 385 + 386 256 + 257 + 258 126 + 127 + 128 + 129 + 130 + 131

Aliquot sequence: 771 → 261 → 129 → 47 → 1 → 0 — terminates at zero

Continued fraction of √n

√771 = [27; (1, 3, 3, 2, 4, 1, 1, 1, 1, 2, 27, 2, 1, 1, 1, 1, 4, 2, 3, 3, 1, 54)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: seven hundred seventy-one
Ordinal: 771st
Roman numeral: DCCLXXI
Binary: 1100000011
Octal: 1403
Hexadecimal: 0x303
Base64: AwM=
One's complement: 64,764 (16-bit)
Scientific notation: 7.71 × 10²
As a duration: 771 s = 12 minutes, 51 seconds

In other bases

ternary (3) 1001120

quaternary (4) 30003

quinary (5) 11041

senary (6) 3323

septenary (7) 2151

nonary (9) 1046

undecimal (11) 641

duodecimal (12) 543

tridecimal (13) 474

tetradecimal (14) 3d1

pentadecimal (15) 366

Palindromic in base 2, base 4, base 13, base 16

As an angle

771° = 2 × 360° + 51°

51° ≈ 0.89 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ψοαʹ
Mayan (base 20): 𝋡·𝋲·𝋫
Chinese: 七百七十一
Chinese (financial): 柒佰柒拾壹

In other modern scripts

Eastern Arabic ٧٧١ Devanagari ७७१ Bengali ৭৭১ Tamil ௭௭௧ Thai ๗๗๑ Tibetan ༧༧༡ Khmer ៧៧១ Lao ໗໗໑ Burmese ၇၇၁

Digit at this position in famous constants

π — Pi (π): Digit 771 = 7
e — Euler's number (e): Digit 771 = 2
φ — Golden ratio (φ): Digit 771 = 5
√2 — Pythagoras's (√2): Digit 771 = 5
ln 2 — Natural log of 2: Digit 771 = 1
γ — Euler-Mascheroni (γ): Digit 771 = 3

Also seen as

Unicode codepoint

Combining Tilde

U+0303

Non-spacing mark (Mn)

UTF-8 encoding: CC 83 (2 bytes).

Lookup U+0303 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000303

RGB(0, 3, 3)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.3.

Address: 0.0.3.3
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.3

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

Calculator-display word

Type 771 on a seven-segment calculator, flip it 180°, and the display reads:

ILL

A staple of calculator humor since pocket calculators put digits in front of bored students.

Musical pitch

Heard as a frequency, 771 Hz is closest to:

Concert pitch (A4 = 440 Hz): G5 (784 Hz, -29¢)
Scientific pitch (C4 = 256 Hz): G5 (767.1 Hz, +9¢)
Baroque pitch (A4 = 415 Hz): G♯5 (783.4 Hz, -28¢)