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Number

7,027

7,027 is a prime, odd.

7,027 (seven thousand twenty-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B73.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
7,207
Recamán's sequence
a(1,977) = 7,027
Square (n²)
49,378,729
Cube (n³)
346,984,328,683
Divisor count
2
σ(n) — sum of divisors
7,028
φ(n) — Euler's totient
7,026

Primality

7,027 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 7027
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 7,027)
1 × 7027
First multiples
7,027 · 14,054 (double) · 21,081 · 28,108 · 35,135 · 42,162 · 49,189 · 56,216 · 63,243 · 70,270

Sums & aliquot sequence

As consecutive integers: 3,513 + 3,514

Continued fraction of √n

√7,027 = [83; (1, 4, 1, 3, 1, 2, 3, 4, 1, 3, 1, 1, 1, 1, 55, 3, 1, 1, 1, 2, 8, 1, 14, 2, …)]

Representations

In words
seven thousand twenty-seven
Ordinal
7027th
Binary
1101101110011
Octal
15563
Hexadecimal
0x1B73
Base64
G3M=
One's complement
58,508 (16-bit)
Scientific notation
7.027 × 10³
As a duration
7,027 s = 1 hour, 57 minutes, 7 seconds
In other bases
ternary (3) 100122021
quaternary (4) 1231303
quinary (5) 211102
senary (6) 52311
septenary (7) 26326
nonary (9) 10567
undecimal (11) 5309
duodecimal (12) 4097
tridecimal (13) 3277
tetradecimal (14) 27bd
pentadecimal (15) 2137

As an angle

7,027° = 19 × 360° + 187°
187° ≈ 3.264 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ζκζʹ
Mayan (base 20)
𝋱·𝋫·𝋧
Chinese
七千零二十七
Chinese (financial)
柒仟零貳拾柒
In other modern scripts
Eastern Arabic ٧٠٢٧ Devanagari ७०२७ Bengali ৭০২৭ Tamil ௭௦௨௭ Thai ๗๐๒๗ Tibetan ༧༠༢༧ Khmer ៧០២៧ Lao ໗໐໒໗ Burmese ၇၀၂၇

Digit at this position in famous constants

π — Pi (π)
Digit 7,027 = 5
e — Euler's number (e)
Digit 7,027 = 3
φ — Golden ratio (φ)
Digit 7,027 = 2
√2 — Pythagoras's (√2)
Digit 7,027 = 3
ln 2 — Natural log of 2
Digit 7,027 = 5
γ — Euler-Mascheroni (γ)
Digit 7,027 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 7,019 (gap of 8)
  • Next prime: 7,039 (gap of 12)
Unicode codepoint
Balinese Musical Symbol Combining Gong
U+1B73
Non-spacing mark (Mn)

UTF-8 encoding: E1 AD B3 (3 bytes).

Hex color
#001B73
RGB(0, 27, 115)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.115.

Address
0.0.27.115
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.27.115

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

Musical pitch

Heard as a frequency, 7,027 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -3¢)
  • Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +34¢)
  • Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -2¢)
Position in π

The digit sequence 7027 first appears in π at position 556 of the decimal expansion (the 556ordinal-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.