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Number

6,143

6,143 is a prime, odd.

6,143 (six thousand one hundred forty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x17FF.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
72
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
3,416
Recamán's sequence
a(12,477) = 6,143
Square (n²)
37,736,449
Cube (n³)
231,815,006,207
Divisor count
2
σ(n) — sum of divisors
6,144
φ(n) — Euler's totient
6,142

Primality

6,143 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6143
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,143)
1 × 6143
First multiples
6,143 · 12,286 (double) · 18,429 · 24,572 · 30,715 · 36,858 · 43,001 · 49,144 · 55,287 · 61,430

Sums & aliquot sequence

As consecutive integers: 3,071 + 3,072

Continued fraction of √n

√6,143 = [78; (2, 1, 1, 1, 6, 5, 3, 1, 13, 2, 21, 1, 10, 4, 6, 1, 7, 2, 1, 1, 2, 1, 4, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
six thousand one hundred forty-three
Ordinal
6143rd
Binary
1011111111111
Octal
13777
Hexadecimal
0x17FF
Base64
F/8=
One's complement
59,392 (16-bit)
Scientific notation
6.143 × 10³
As a duration
6,143 s = 1 hour, 42 minutes, 23 seconds
In other bases
ternary (3) 22102112
quaternary (4) 1133333
quinary (5) 144033
senary (6) 44235
septenary (7) 23624
nonary (9) 8375
undecimal (11) 4685
duodecimal (12) 367b
tridecimal (13) 2a47
tetradecimal (14) 234b
pentadecimal (15) 1c48

As an angle

6,143° = 17 × 360° + 23°
23° ≈ 0.401 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϛρμγʹ
Mayan (base 20)
𝋯·𝋧·𝋣
Chinese
六千一百四十三
Chinese (financial)
陸仟壹佰肆拾參
In other modern scripts
Eastern Arabic ٦١٤٣ Devanagari ६१४३ Bengali ৬১৪৩ Tamil ௬௧௪௩ Thai ๖๑๔๓ Tibetan ༦༡༤༣ Khmer ៦១៤៣ Lao ໖໑໔໓ Burmese ၆၁၄၃

Digit at this position in famous constants

π — Pi (π)
Digit 6,143 = 0
e — Euler's number (e)
Digit 6,143 = 3
φ — Golden ratio (φ)
Digit 6,143 = 4
√2 — Pythagoras's (√2)
Digit 6,143 = 1
ln 2 — Natural log of 2
Digit 6,143 = 4
γ — Euler-Mascheroni (γ)
Digit 6,143 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,133 (gap of 10)
  • Next prime: 6,151 (gap of 8)
Hex color
#0017FF
RGB(0, 23, 255)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.255.

Address
0.0.23.255
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.255

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

Musical pitch

Heard as a frequency, 6,143 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G8 (6271.9 Hz, -36¢)
  • Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, +2¢)
  • Baroque pitch (A4 = 415 Hz): G♯8 (6267.3 Hz, -35¢)
Position in π

The digit sequence 6143 first appears in π at position 4,171 of the decimal expansion (the 4,171ordinal-suffix:st 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.