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Number

563

563 is a prime, odd, a calendar year.

563 (five hundred sixty-three) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is DLXIII and in binary, 1000110011.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree Wilson Prime Year

Interestingness

11 notable facts · grade A
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Historical context — 563 AD

Calendar year

Year 563 (DLXIII) was a common year starting on Monday of the Julian calendar.

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

Notable events — 563 BC

  1. Undated Traditional birth year of Siddhartha Gautama, the Buddha.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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
Saturday
January 1, 563
Ended on
Saturday
December 31, 563
Friday the 13ths
1
One Friday the 13th this year.
Decade
560s
560–569
Century
6th century
501–600
Millennium
1st millennium
1–1000
Years ago
1,463
1463 years before 2026.

In other calendars

Hebrew
4323 / 4324 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Goat
Sexagenary cycle position 20 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1106 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
555 / 556 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
485 / 484 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
14
Digit product
90
Digital root
5
Palindrome
No
Bit width
10 bits
Reversed
365
Recamán's sequence
a(1,133) = 563
Square (n²)
316,969
Cube (n³)
178,453,547
Divisor count
2
σ(n) — sum of divisors
564
φ(n) — Euler's totient
562

Primality

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

Divisors & multiples

All divisors (2)
1 · 563
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 563)
1 × 563
First multiples
563 · 1,126 (double) · 1,689 · 2,252 · 2,815 · 3,378 · 3,941 · 4,504 · 5,067 · 5,630

Sums & aliquot sequence

As consecutive integers: 281 + 282

Continued fraction of √n

√563 = [23; (1, 2, 1, 2, 23, 2, 1, 2, 1, 46)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
five hundred sixty-three
Ordinal
563rd
Roman numeral
DLXIII
Binary
1000110011
Octal
1063
Hexadecimal
0x233
Base64
AjM=
One's complement
64,972 (16-bit)
Scientific notation
5.63 × 10²
As a duration
563 s = 9 minutes, 23 seconds
In other bases
ternary (3) 202212
quaternary (4) 20303
quinary (5) 4223
senary (6) 2335
septenary (7) 1433
nonary (9) 685
undecimal (11) 472
duodecimal (12) 3ab
tridecimal (13) 344
tetradecimal (14) 2c3
pentadecimal (15) 278

As an angle

563° = 1 × 360° + 203°
203° ≈ 3.543 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
φξγʹ
Mayan (base 20)
𝋡·𝋨·𝋣
Chinese
五百六十三
Chinese (financial)
伍佰陸拾參
In other modern scripts
Eastern Arabic ٥٦٣ Devanagari ५६३ Bengali ৫৬৩ Tamil ௫௬௩ Thai ๕๖๓ Tibetan ༥༦༣ Khmer ៥៦៣ Lao ໕໖໓ Burmese ၅၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 563 = 5
e — Euler's number (e)
Digit 563 = 4
φ — Golden ratio (φ)
Digit 563 = 1
√2 — Pythagoras's (√2)
Digit 563 = 4
ln 2 — Natural log of 2
Digit 563 = 3
γ — Euler-Mascheroni (γ)
Digit 563 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 557 (gap of 6)
  • Next prime: 569 (gap of 6)

Pair status: sexy with 557, sexy with 569.

Unicode codepoint
ȳ
Latin Small Letter Y With Macron
U+0233
Lowercase letter (Ll)

UTF-8 encoding: C8 B3 (2 bytes).

Hex color
#000233
RGB(0, 2, 51)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.51.

Address
0.0.2.51
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.51

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

NANP area code 563

The number 563 is an active NANP area code (North American Numbering Plan).

Primary area
Davenport / Dubuque
Region
Iowa
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Musical pitch

Heard as a frequency, 563 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯5 (554.4 Hz, +27¢)
  • Scientific pitch (C4 = 256 Hz): D5 (574.7 Hz, -36¢)
  • Baroque pitch (A4 = 415 Hz): D5 (554 Hz, +28¢)

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.