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Number

8,423

8,423 is a prime, odd.

8,423 (eight thousand four hundred twenty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20E7.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
192
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
3,248
Recamán's sequence
a(2,885) = 8,423
Square (n²)
70,946,929
Cube (n³)
597,585,982,967
Divisor count
2
σ(n) — sum of divisors
8,424
φ(n) — Euler's totient
8,422

Primality

8,423 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 8423
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 8,423)
1 × 8423
First multiples
8,423 · 16,846 (double) · 25,269 · 33,692 · 42,115 · 50,538 · 58,961 · 67,384 · 75,807 · 84,230

Sums & aliquot sequence

As consecutive integers: 4,211 + 4,212

Continued fraction of √n

√8,423 = [91; (1, 3, 2, 13, 1, 2, 12, 1, 3, 2, 1, 10, 9, 1, 1, 3, 4, 1, 1, 4, 1, 5, 1, 1, …)]

Representations

In words
eight thousand four hundred twenty-three
Ordinal
8423rd
Binary
10000011100111
Octal
20347
Hexadecimal
0x20E7
Base64
IOc=
One's complement
57,112 (16-bit)
Scientific notation
8.423 × 10³
As a duration
8,423 s = 2 hours, 20 minutes, 23 seconds
In other bases
ternary (3) 102112222
quaternary (4) 2003213
quinary (5) 232143
senary (6) 102555
septenary (7) 33362
nonary (9) 12488
undecimal (11) 6368
duodecimal (12) 4a5b
tridecimal (13) 3aac
tetradecimal (14) 30d9
pentadecimal (15) 2768

As an angle

8,423° = 23 × 360° + 143°
143° ≈ 2.496 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ηυκγʹ
Mayan (base 20)
𝋡·𝋡·𝋡·𝋣
Chinese
八千四百二十三
Chinese (financial)
捌仟肆佰貳拾參
In other modern scripts
Eastern Arabic ٨٤٢٣ Devanagari ८४२३ Bengali ৮৪২৩ Tamil ௮௪௨௩ Thai ๘๔๒๓ Tibetan ༨༤༢༣ Khmer ៨៤២៣ Lao ໘໔໒໓ Burmese ၈၄၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 8,423 = 2
e — Euler's number (e)
Digit 8,423 = 3
φ — Golden ratio (φ)
Digit 8,423 = 6
√2 — Pythagoras's (√2)
Digit 8,423 = 2
ln 2 — Natural log of 2
Digit 8,423 = 8
γ — Euler-Mascheroni (γ)
Digit 8,423 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 8,419 (gap of 4)
  • Next prime: 8,429 (gap of 6)

Pair status: cousin with 8419, sexy with 8429.

Unicode codepoint
Combining Annuity Symbol
U+20E7
Non-spacing mark (Mn)

UTF-8 encoding: E2 83 A7 (3 bytes).

Hex color
#0020E7
RGB(0, 32, 231)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.231.

Address
0.0.32.231
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.231

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

Musical pitch

Heard as a frequency, 8,423 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C9 (8372 Hz, +11¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +48¢ — about midway to C♯9)
  • Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, +12¢)
Position in π

The digit sequence 8423 first appears in π at position 11,427 of the decimal expansion (the 11,427ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.