Number

791

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

791 (seven hundred ninety-one) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 7 × 113. Written other ways, in Roman numerals it is DCCXCI and in binary, 1100010111.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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Historical context — 791 AD

Calendar year

Year 791 (DCCXCI) was a common year starting on Saturday of the Julian calendar.

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

Historical context — 791 BC

Decade

This article concerns the period 799 BC – 790 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: Tuesday
January 1, 791
Ended on: Tuesday
December 31, 791
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 790s
790–799
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,235
1235 years before 2026.

In other calendars

Hebrew: 4551 / 4552 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 174 / 175 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1334 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 169 / 170 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 783 / 784 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 713 / 712 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 17
Digit product: 63
Digital root: 8
Palindrome: No
Bit width: 10 bits
Reversed: 197
Recamán's sequence: a(16,753) = 791
Square (n²): 625,681
Cube (n³): 494,913,671
Divisor count: 4
σ(n) — sum of divisors: 912
φ(n) — Euler's totient: 672
Sum of prime factors: 120

Primality

Prime factorization: 7 × 113

Nearest primes: 787 (−4) · 797 (+6)

Divisors & multiples

All divisors (4)

1 · 7 · 113 · 791

Aliquot sum (sum of proper divisors): 121

Factor pairs (a × b = 791)

1 × 791

7 × 113

First multiples

791 · 1,582 (double) · 2,373 · 3,164 · 3,955 · 4,746 · 5,537 · 6,328 · 7,119 · 7,910

Sums & aliquot sequence

As consecutive integers: 395 + 396 110 + 111 + … + 116 50 + 51 + … + 63

Aliquot sequence: 791 → 121 → 12 → 16 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√791 = [28; (8, 56)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: seven hundred ninety-one
Ordinal: 791st
Roman numeral: DCCXCI
Binary: 1100010111
Octal: 1427
Hexadecimal: 0x317
Base64: Axc=
One's complement: 64,744 (16-bit)
Scientific notation: 7.91 × 10²
As a duration: 791 s = 13 minutes, 11 seconds

In other bases

ternary (3) 1002022

quaternary (4) 30113

quinary (5) 11131

senary (6) 3355

septenary (7) 2210

nonary (9) 1068

undecimal (11) 65a

duodecimal (12) 55b

tridecimal (13) 48b

tetradecimal (14) 407

pentadecimal (15) 37b

As an angle

791° = 2 × 360° + 71°

71° ≈ 1.239 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ψϟαʹ
Mayan (base 20): 𝋡·𝋳·𝋫
Chinese: 七百九十一
Chinese (financial): 柒佰玖拾壹

In other modern scripts

Eastern Arabic ٧٩١ Devanagari ७९१ Bengali ৭৯১ Tamil ௭௯௧ Thai ๗๙๑ Tibetan ༧༩༡ Khmer ៧៩១ Lao ໗໙໑ Burmese ၇၉၁

Digit at this position in famous constants

π — Pi (π): Digit 791 = 8
e — Euler's number (e): Digit 791 = 3
φ — Golden ratio (φ): Digit 791 = 7
√2 — Pythagoras's (√2): Digit 791 = 7
ln 2 — Natural log of 2: Digit 791 = 5
γ — Euler-Mascheroni (γ): Digit 791 = 2

Also seen as

Unicode codepoint

Combining Acute Accent Below

U+0317

Non-spacing mark (Mn)

UTF-8 encoding: CC 97 (2 bytes).

Lookup U+0317 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000317

RGB(0, 3, 23)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.23.

Address: 0.0.3.23
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.23

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

Musical pitch

Heard as a frequency, 791 Hz is closest to:

Concert pitch (A4 = 440 Hz): G5 (784 Hz, +15¢)
Scientific pitch (C4 = 256 Hz): G♯5 (812.7 Hz, -47¢ — about midway to G5)
Baroque pitch (A4 = 415 Hz): G♯5 (783.4 Hz, +17¢)