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Number

1,063

1,063 is a prime, odd, a calendar year.

1,063 (one thousand sixty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MLXIII and in binary, 10000100111.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Interestingness

Historical context — 1063 AD

Calendar year

Year 1063 (MLXIII) 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 →

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1063
Ended on
Thursday
December 31, 1063
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1060s
1060–1069
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
963
963 years before 2026.

In other calendars

Hebrew
4823 / 4824 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
454 / 456 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Rabbit
Sexagenary cycle position 40 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1606 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
441 / 442 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1055 / 1056 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
985 / 984 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
3,601
Recamán's sequence
a(4,293) = 1,063
Square (n²)
1,129,969
Cube (n³)
1,201,157,047
Divisor count
2
σ(n) — sum of divisors
1,064
φ(n) — Euler's totient
1,062

Primality

1,063 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1063
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,063)
1 × 1063
First multiples
1,063 · 2,126 (double) · 3,189 · 4,252 · 5,315 · 6,378 · 7,441 · 8,504 · 9,567 · 10,630

Sums & aliquot sequence

As consecutive integers: 531 + 532

Continued fraction of √n

√1,063 = [32; (1, 1, 1, 1, 10, 3, 1, 2, 1, 6, 1, 1, 21, 4, 1, 31, 1, 4, 21, 1, 1, 6, 1, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one thousand sixty-three
Ordinal
1063rd
Roman numeral
MLXIII
Binary
10000100111
Octal
2047
Hexadecimal
0x427
Base64
BCc=
One's complement
64,472 (16-bit)
Scientific notation
1.063 × 10³
As a duration
1,063 s = 17 minutes, 43 seconds
In other bases
ternary (3) 1110101
quaternary (4) 100213
quinary (5) 13223
senary (6) 4531
septenary (7) 3046
nonary (9) 1411
undecimal (11) 887
duodecimal (12) 747
tridecimal (13) 63a
tetradecimal (14) 55d
pentadecimal (15) 4ad
Palindromic in base 12

As an angle

1,063° = 2 × 360° + 343°
343° ≈ 5.986 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αξγʹ
Mayan (base 20)
𝋢·𝋭·𝋣
Chinese
一千零六十三
Chinese (financial)
壹仟零陸拾參
In other modern scripts
Eastern Arabic ١٠٦٣ Devanagari १०६३ Bengali ১০৬৩ Tamil ௧௦௬௩ Thai ๑๐๖๓ Tibetan ༡༠༦༣ Khmer ១០៦៣ Lao ໑໐໖໓ Burmese ၁၀၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,063 = 8
e — Euler's number (e)
Digit 1,063 = 4
φ — Golden ratio (φ)
Digit 1,063 = 3
√2 — Pythagoras's (√2)
Digit 1,063 = 0
ln 2 — Natural log of 2
Digit 1,063 = 6
γ — Euler-Mascheroni (γ)
Digit 1,063 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,061 (gap of 2)
  • Next prime: 1,069 (gap of 6)

Pair status: twin with 1061, sexy with 1069.

Unicode codepoint
Ч
Cyrillic Capital Letter Che
U+0427
Uppercase letter (Lu)

UTF-8 encoding: D0 A7 (2 bytes).

Hex color
#000427
RGB(0, 4, 39)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.39.

Address
0.0.4.39
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.39

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

Musical pitch

Heard as a frequency, 1,063 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +27¢)
  • Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -35¢)
  • Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +28¢)
Position in π

The digit sequence 1063 first appears in π at position 17,029 of the decimal expansion (the 17,029ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.