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Number

4,027

4,027 is a prime, odd.

4,027 (four thousand twenty-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in binary, 111110111011.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
12 bits
Reversed
7,204
Recamán's sequence
a(14,337) = 4,027
Square (n²)
16,216,729
Cube (n³)
65,304,767,683
Divisor count
2
σ(n) — sum of divisors
4,028
φ(n) — Euler's totient
4,026

Primality

4,027 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4027
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,027)
1 × 4027
First multiples
4,027 · 8,054 (double) · 12,081 · 16,108 · 20,135 · 24,162 · 28,189 · 32,216 · 36,243 · 40,270

Sums & aliquot sequence

As consecutive integers: 2,013 + 2,014

Continued fraction of √n

√4,027 = [63; (2, 5, 1, 1, 4, 1, 41, 2, 17, 1, 1, 1, 3, 13, 1, 4, 1, 5, 4, 1, 2, 2, 4, 3, …)]

Representations

In words
four thousand twenty-seven
Ordinal
4027th
Binary
111110111011
Octal
7673
Hexadecimal
0xFBB
Base64
D7s=
One's complement
61,508 (16-bit)
Scientific notation
4.027 × 10³
As a duration
4,027 s = 1 hour, 7 minutes, 7 seconds
In other bases
ternary (3) 12112011
quaternary (4) 332323
quinary (5) 112102
senary (6) 30351
septenary (7) 14512
nonary (9) 5464
undecimal (11) 3031
duodecimal (12) 23b7
tridecimal (13) 1aaa
tetradecimal (14) 1679
pentadecimal (15) 12d7

As an angle

4,027° = 11 × 360° + 67°
67° ≈ 1.169 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δκζʹ
Mayan (base 20)
𝋪·𝋡·𝋧
Chinese
四千零二十七
Chinese (financial)
肆仟零貳拾柒
In other modern scripts
Eastern Arabic ٤٠٢٧ Devanagari ४०२७ Bengali ৪০২৭ Tamil ௪௦௨௭ Thai ๔๐๒๗ Tibetan ༤༠༢༧ Khmer ៤០២៧ Lao ໔໐໒໗ Burmese ၄၀၂၇

Digit at this position in famous constants

π — Pi (π)
Digit 4,027 = 6
e — Euler's number (e)
Digit 4,027 = 7
φ — Golden ratio (φ)
Digit 4,027 = 3
√2 — Pythagoras's (√2)
Digit 4,027 = 2
ln 2 — Natural log of 2
Digit 4,027 = 5
γ — Euler-Mascheroni (γ)
Digit 4,027 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,021 (gap of 6)
  • Next prime: 4,049 (gap of 22)

Pair status: sexy with 4021.

Unicode codepoint
Tibetan Subjoined Letter Fixed-Form Ya
U+0FBB
Non-spacing mark (Mn)

UTF-8 encoding: E0 BE BB (3 bytes).

Hex color
#000FBB
RGB(0, 15, 187)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.187.

Address
0.0.15.187
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.187

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

Musical pitch

Heard as a frequency, 4,027 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +33¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -29¢)
  • Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +34¢)
Position in π

The digit sequence 4027 first appears in π at position 8,008 of the decimal expansion (the 8,008ordinal-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.