number.wiki
Number

1,027

1,027 is a composite number, odd, a calendar year.

1,027 (one thousand twenty-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 13 × 79. Written other ways, in Roman numerals it is MXXVII and in binary, 10000000011.

Arithmetic Number Centered Hexagonal Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

Historical context — 1027 AD

Calendar year

Year 1027 (MXXVII) was a common year starting on Sunday 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
52
Started on
Monday
January 1, 1027
Ended on
Monday
December 31, 1027
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1020s
1020–1029
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
999
999 years before 2026.

In other calendars

Hebrew
4787 / 4788 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
417 / 418 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Rabbit
Sexagenary cycle position 4 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1570 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
405 / 406 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1019 / 1020 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
949 / 948 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
7,201
Recamán's sequence
a(4,365) = 1,027
Square (n²)
1,054,729
Cube (n³)
1,083,206,683
Divisor count
4
σ(n) — sum of divisors
1,120
φ(n) — Euler's totient
936
Sum of prime factors
92

Primality

Prime factorization: 13 × 79

Nearest primes: 1,021 (−6) · 1,031 (+4)

Divisors & multiples

All divisors (4)
1 · 13 · 79 · 1027
Aliquot sum (sum of proper divisors): 93
Factor pairs (a × b = 1,027)
1 × 1027
13 × 79
First multiples
1,027 · 2,054 (double) · 3,081 · 4,108 · 5,135 · 6,162 · 7,189 · 8,216 · 9,243 · 10,270

Sums & aliquot sequence

As a sum of two cubes: 3³ + 10³
As consecutive integers: 513 + 514 73 + 74 + … + 85 27 + 28 + … + 52
Aliquot sequence: 1,027 93 35 13 1 0 — terminates at zero

Continued fraction of √n

√1,027 = [32; (21, 2, 1, 6, 2, 4, 2, 6, 1, 2, 21, 64)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one thousand twenty-seven
Ordinal
1027th
Roman numeral
MXXVII
Binary
10000000011
Octal
2003
Hexadecimal
0x403
Base64
BAM=
One's complement
64,508 (16-bit)
Scientific notation
1.027 × 10³
As a duration
1,027 s = 17 minutes, 7 seconds
In other bases
ternary (3) 1102001
quaternary (4) 100003
quinary (5) 13102
senary (6) 4431
septenary (7) 2665
nonary (9) 1361
undecimal (11) 854
duodecimal (12) 717
tridecimal (13) 610
tetradecimal (14) 535
pentadecimal (15) 487
Palindromic in base 12, base 14

As an angle

1,027° = 2 × 360° + 307°
307° ≈ 5.358 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ακζʹ
Mayan (base 20)
𝋢·𝋫·𝋧
Chinese
一千零二十七
Chinese (financial)
壹仟零貳拾柒
In other modern scripts
Eastern Arabic ١٠٢٧ Devanagari १०२७ Bengali ১০২৭ Tamil ௧௦௨௭ Thai ๑๐๒๗ Tibetan ༡༠༢༧ Khmer ១០២៧ Lao ໑໐໒໗ Burmese ၁၀၂၇

Digit at this position in famous constants

π — Pi (π)
Digit 1,027 = 5
e — Euler's number (e)
Digit 1,027 = 0
φ — Golden ratio (φ)
Digit 1,027 = 5
√2 — Pythagoras's (√2)
Digit 1,027 = 5
ln 2 — Natural log of 2
Digit 1,027 = 0
γ — Euler-Mascheroni (γ)
Digit 1,027 = 6

Also seen as

Unicode codepoint
Ѓ
Cyrillic Capital Letter Gje
U+0403
Uppercase letter (Lu)

UTF-8 encoding: D0 83 (2 bytes).

Hex color
#000403
RGB(0, 4, 3)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.3.

Address
0.0.4.3
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.3

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

Musical pitch

Heard as a frequency, 1,027 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, -33¢)
  • Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +5¢)
  • Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, -31¢)
Position in π

The digit sequence 1027 first appears in π at position 163 of the decimal expansion (the 163ordinal-suffix:rd 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