Number

693

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

693 (six hundred ninety-three) is an odd 3-digit number. It is a composite number with 12 divisors, and factors as 3² × 7 × 11. Written other ways, in Roman numerals it is DCXCIII and in binary, 1010110101.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705

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Historical context — 693 AD

Calendar year

Year 693 (DCXCIII) was a common year starting on Wednesday of the Julian calendar.

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

Historical context — 693 BC

Decade

This article concerns the period 699 BC – 690 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: Sunday
January 1, 693
Ended on: Sunday
December 31, 693
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 690s
690–699
Century: 7th century
601–700
Millennium: 1st millennium
1–1000
Years ago: 1,333
1333 years before 2026.

In other calendars

Hebrew: 4453 / 4454 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 73 / 74 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1236 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 71 / 72 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 685 / 686 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 615 / 614 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 18
Digit product: 162
Digital root: 9
Palindrome: No
Bit width: 10 bits
Reversed: 396
Recamán's sequence: a(2,238) = 693
Square (n²): 480,249
Cube (n³): 332,812,557
Divisor count: 12
σ(n) — sum of divisors: 1,248
φ(n) — Euler's totient: 360
Sum of prime factors: 24

Primality

Prime factorization: 3 ² × 7 × 11

Nearest primes: 691 (−2) · 701 (+8)

Divisors & multiples

All divisors (12)

1 · 3 · 7 · 9 · 11 · 21 · 33 · 63 · 77 · 99 · 231 · 693

Aliquot sum (sum of proper divisors): 555

Factor pairs (a × b = 693)

1 × 693

3 × 231

7 × 99

9 × 77

11 × 63

21 × 33

First multiples

693 · 1,386 (double) · 2,079 · 2,772 · 3,465 · 4,158 · 4,851 · 5,544 · 6,237 · 6,930

Sums & aliquot sequence

As consecutive integers: 346 + 347 230 + 231 + 232 113 + 114 + 115 + 116 + 117 + 118 96 + 97 + … + 102

Aliquot sequence: 693 → 555 → 357 → 219 → 77 → 19 → 1 → 0 — terminates at zero

Continued fraction of √n

√693 = [26; (3, 12, 1, 4, 1, 12, 3, 52)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: six hundred ninety-three
Ordinal: 693rd
Roman numeral: DCXCIII
Binary: 1010110101
Octal: 1265
Hexadecimal: 0x2B5
Base64: ArU=
One's complement: 64,842 (16-bit)
Scientific notation: 6.93 × 10²
As a duration: 693 s = 11 minutes, 33 seconds

In other bases

ternary (3) 221200

quaternary (4) 22311

quinary (5) 10233

senary (6) 3113

septenary (7) 2010

nonary (9) 850

undecimal (11) 580

duodecimal (12) 499

tridecimal (13) 414

tetradecimal (14) 377

pentadecimal (15) 313

Palindromic in base 2, base 6, base 13, base 15

As an angle

693° = 1 × 360° + 333°

333° ≈ 5.812 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): χϟγʹ
Mayan (base 20): 𝋡·𝋮·𝋭
Chinese: 六百九十三
Chinese (financial): 陸佰玖拾參

In other modern scripts

Eastern Arabic ٦٩٣ Devanagari ६९३ Bengali ৬৯৩ Tamil ௬௯௩ Thai ๖๙๓ Tibetan ༦༩༣ Khmer ៦៩៣ Lao ໖໙໓ Burmese ၆၉၃

Digit at this position in famous constants

π — Pi (π): Digit 693 = 8
e — Euler's number (e): Digit 693 = 6
φ — Golden ratio (φ): Digit 693 = 4
√2 — Pythagoras's (√2): Digit 693 = 1
ln 2 — Natural log of 2: Digit 693 = 8
γ — Euler-Mascheroni (γ): Digit 693 = 3

Also seen as

Unicode codepoint

Modifier Letter Small Turned R With Hook

U+02B5

Modifier letter (Lm)

UTF-8 encoding: CA B5 (2 bytes).

Lookup U+02B5 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0002B5

RGB(0, 2, 181)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.181.

Address: 0.0.2.181
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.181

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

Musical pitch

Heard as a frequency, 693 Hz is closest to:

Concert pitch (A4 = 440 Hz): F5 (698.5 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): F5 (683.4 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): F♯5 (697.9 Hz, -12¢)