number.wiki
Number

4,463

4,463 is a prime, odd.

4,463 (four thousand four hundred sixty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x116F.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
288
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
3,644
Recamán's sequence
a(5,814) = 4,463
Square (n²)
19,918,369
Cube (n³)
88,895,680,847
Divisor count
2
σ(n) — sum of divisors
4,464
φ(n) — Euler's totient
4,462

Primality

4,463 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4463
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,463)
1 × 4463
First multiples
4,463 · 8,926 (double) · 13,389 · 17,852 · 22,315 · 26,778 · 31,241 · 35,704 · 40,167 · 44,630

Sums & aliquot sequence

As consecutive integers: 2,231 + 2,232

Continued fraction of √n

√4,463 = [66; (1, 4, 6, 1, 4, 1, 18, 3, 1, 7, 9, 2, 2, 2, 3, 9, 1, 65, 1, 9, 3, 2, 2, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
four thousand four hundred sixty-three
Ordinal
4463rd
Binary
1000101101111
Octal
10557
Hexadecimal
0x116F
Base64
EW8=
One's complement
61,072 (16-bit)
Scientific notation
4.463 × 10³
As a duration
4,463 s = 1 hour, 14 minutes, 23 seconds
In other bases
ternary (3) 20010022
quaternary (4) 1011233
quinary (5) 120323
senary (6) 32355
septenary (7) 16004
nonary (9) 6108
undecimal (11) 3398
duodecimal (12) 26bb
tridecimal (13) 2054
tetradecimal (14) 18ab
pentadecimal (15) 14c8

As an angle

4,463° = 12 × 360° + 143°
143° ≈ 2.496 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵δυξγʹ
Mayan (base 20)
𝋫·𝋣·𝋣
Chinese
四千四百六十三
Chinese (financial)
肆仟肆佰陸拾參
In other modern scripts
Eastern Arabic ٤٤٦٣ Devanagari ४४६३ Bengali ৪৪৬৩ Tamil ௪௪௬௩ Thai ๔๔๖๓ Tibetan ༤༤༦༣ Khmer ៤៤៦៣ Lao ໔໔໖໓ Burmese ၄၄၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 4,463 = 4
e — Euler's number (e)
Digit 4,463 = 2
φ — Golden ratio (φ)
Digit 4,463 = 5
√2 — Pythagoras's (√2)
Digit 4,463 = 7
ln 2 — Natural log of 2
Digit 4,463 = 9
γ — Euler-Mascheroni (γ)
Digit 4,463 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,457 (gap of 6)
  • Next prime: 4,481 (gap of 18)

Pair status: sexy with 4457.

Unicode codepoint
Hangul Jungseong Weo
U+116F
Other letter (Lo)

UTF-8 encoding: E1 85 AF (3 bytes).

Hex color
#00116F
RGB(0, 17, 111)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.111.

Address
0.0.17.111
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.17.111

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

Musical pitch

Heard as a frequency, 4,463 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, +11¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +49¢ — about midway to D8)
  • Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, +12¢)
Position in π

The digit sequence 4463 first appears in π at position 9,243 of the decimal expansion (the 9,243ordinal-suffix:rd 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.