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Number

2,143

2,143 is a prime, odd.

2,143 (two 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 Roman numerals it is MMCXLIII and in binary, 100001011111.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
24
Digital root
1
Palindrome
No
Bit width
12 bits
Reversed
3,412
Recamán's sequence
a(3,465) = 2,143
Square (n²)
4,592,449
Cube (n³)
9,841,618,207
Divisor count
2
σ(n) — sum of divisors
2,144
φ(n) — Euler's totient
2,142

Primality

2,143 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2143
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,143)
1 × 2143
First multiples
2,143 · 4,286 (double) · 6,429 · 8,572 · 10,715 · 12,858 · 15,001 · 17,144 · 19,287 · 21,430

Sums & aliquot sequence

As consecutive integers: 1,071 + 1,072

Continued fraction of √n

√2,143 = [46; (3, 2, 2, 1, 1, 3, 1, 4, 1, 1, 1, 45, 1, 1, 1, 4, 1, 3, 1, 1, 2, 2, 3, 92)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
two thousand one hundred forty-three
Ordinal
2143rd
Roman numeral
MMCXLIII
Binary
100001011111
Octal
4137
Hexadecimal
0x85F
Base64
CF8=
One's complement
63,392 (16-bit)
Scientific notation
2.143 × 10³
As a duration
2,143 s = 35 minutes, 43 seconds
In other bases
ternary (3) 2221101
quaternary (4) 201133
quinary (5) 32033
senary (6) 13531
septenary (7) 6151
nonary (9) 2841
undecimal (11) 1679
duodecimal (12) 12a7
tridecimal (13) c8b
tetradecimal (14) ad1
pentadecimal (15) 97d
Palindromic in base 6

As an angle

2,143° = 5 × 360° + 343°
343° ≈ 5.986 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βρμγʹ
Mayan (base 20)
𝋥·𝋧·𝋣
Chinese
二千一百四十三
Chinese (financial)
貳仟壹佰肆拾參
In other modern scripts
Eastern Arabic ٢١٤٣ Devanagari २१४३ Bengali ২১৪৩ Tamil ௨௧௪௩ Thai ๒๑๔๓ Tibetan ༢༡༤༣ Khmer ២១៤៣ Lao ໒໑໔໓ Burmese ၂၁၄၃

Digit at this position in famous constants

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

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,141 (gap of 2)
  • Next prime: 2,153 (gap of 10)

Pair status: twin with 2141.

Hex color
#00085F
RGB(0, 8, 95)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.95.

Address
0.0.8.95
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.95

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

Musical pitch

Heard as a frequency, 2,143 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C7 (2093 Hz, +41¢)
  • Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, -22¢)
  • Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, +42¢)
Position in π

The digit sequence 2143 first appears in π at position 23,786 of the decimal expansion (the 23,786ordinal-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.