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Number

693

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

Arithmetic Number Deficient Number Evil Number Gapful Number Recamán's Sequence Year

Historical context — 693 AD

Calendar year

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

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Historical context — 693 BC

Decade

This article concerns the period 699 BC – 690 BC.

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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

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)
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

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
ʵ
Modifier Letter Small Turned R With Hook
U+02B5
Modifier letter (Lm)

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

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.