Number

797

797 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Evil Number Palindrome Prime Pythagorean Prime Recamán's Sequence Squarefree Year

Historical context — 797 AD

Calendar year

Year 797 (DCCXCVII) was a common year starting on Sunday of the Julian calendar.

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

Historical context — 797 BC

Decade

This article concerns the period 799 BC – 790 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: Wednesday
January 1, 797
Ended on: Wednesday
December 31, 797
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 790s
790–799
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,229
1229 years before 2026.

In other calendars

Hebrew: 4557 / 4558 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 180 / 181 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Ox
Sexagenary cycle position 14 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1340 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 175 / 176 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 789 / 790 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 719 / 718 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 23
Digit product: 441
Digital root: 5
Palindrome: Yes
Bit width: 10 bits
Recamán's sequence: a(297) = 797
Square (n²): 635,209
Cube (n³): 506,261,573
Divisor count: 2
σ(n) — sum of divisors: 798
φ(n) — Euler's totient: 796

Primality

797 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 797

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 797)

1 × 797

First multiples

797 · 1,594 (double) · 2,391 · 3,188 · 3,985 · 4,782 · 5,579 · 6,376 · 7,173 · 7,970

Sums & aliquot sequence

As a sum of two squares: 11² + 26²

As consecutive integers: 398 + 399

Representations

In words: seven hundred ninety-seven
Ordinal: 797th
Roman numeral: DCCXCVII
Binary: 1100011101
Octal: 1435
Hexadecimal: 0x31D
Base64: Ax0=
One's complement: 64,738 (16-bit)

In other bases

ternary (3) 1002112

quaternary (4) 30131

quinary (5) 11142

senary (6) 3405

septenary (7) 2216

nonary (9) 1075

undecimal (11) 665

duodecimal (12) 565

tridecimal (13) 494

tetradecimal (14) 40d

pentadecimal (15) 382

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ψϟζʹ
Mayan (base 20): 𝋡·𝋳·𝋱
Chinese: 七百九十七
Chinese (financial): 柒佰玖拾柒

In other modern scripts

Eastern Arabic ٧٩٧ Devanagari ७९७ Bengali ৭৯৭ Tamil ௭௯௭ Thai ๗๙๗ Tibetan ༧༩༧ Khmer ៧៩៧ Lao ໗໙໗ Burmese ၇၉၇

Digit at this position in famous constants

π — Pi (π): Digit 797 = 3
e — Euler's number (e): Digit 797 = 2
φ — Golden ratio (φ): Digit 797 = 4
√2 — Pythagoras's (√2): Digit 797 = 8
ln 2 — Natural log of 2: Digit 797 = 8
γ — Euler-Mascheroni (γ): Digit 797 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 787 (gap of 10)
Next prime: 809 (gap of 12)

Unicode codepoint

Combining Up Tack Below

U+031D

Non-spacing mark (Mn)

UTF-8 encoding: CC 9D (2 bytes).

Lookup U+031D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00031D

RGB(0, 3, 29)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.29.

Address: 0.0.3.29
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.29

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