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Number

4,663

4,663 is a prime, odd.

4,663 (four thousand six 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, 0x1237.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
19
Digit product
432
Digital root
1
Palindrome
No
Bit width
13 bits
Reversed
3,664
Recamán's sequence
a(5,414) = 4,663
Square (n²)
21,743,569
Cube (n³)
101,390,262,247
Divisor count
2
σ(n) — sum of divisors
4,664
φ(n) — Euler's totient
4,662

Primality

4,663 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4663
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,663)
1 × 4663
First multiples
4,663 · 9,326 (double) · 13,989 · 18,652 · 23,315 · 27,978 · 32,641 · 37,304 · 41,967 · 46,630

Sums & aliquot sequence

As consecutive integers: 2,331 + 2,332

Continued fraction of √n

√4,663 = [68; (3, 2, 45, 10, 2, 14, 1, 2, 3, 6, 4, 1, 8, 1, 18, 1, 1, 1, 1, 2, 1, 1, 1, 5, …)]

Representations

In words
four thousand six hundred sixty-three
Ordinal
4663rd
Binary
1001000110111
Octal
11067
Hexadecimal
0x1237
Base64
Ejc=
One's complement
60,872 (16-bit)
Scientific notation
4.663 × 10³
As a duration
4,663 s = 1 hour, 17 minutes, 43 seconds
In other bases
ternary (3) 20101201
quaternary (4) 1020313
quinary (5) 122123
senary (6) 33331
septenary (7) 16411
nonary (9) 6351
undecimal (11) 355a
duodecimal (12) 2847
tridecimal (13) 2179
tetradecimal (14) 19b1
pentadecimal (15) 15ad

As an angle

4,663° = 12 × 360° + 343°
343° ≈ 5.986 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵δχξγʹ
Mayan (base 20)
𝋫·𝋭·𝋣
Chinese
四千六百六十三
Chinese (financial)
肆仟陸佰陸拾參
In other modern scripts
Eastern Arabic ٤٦٦٣ Devanagari ४६६३ Bengali ৪৬৬৩ Tamil ௪௬௬௩ Thai ๔๖๖๓ Tibetan ༤༦༦༣ Khmer ៤៦៦៣ Lao ໔໖໖໓ Burmese ၄၆၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 4,663 = 8
e — Euler's number (e)
Digit 4,663 = 4
φ — Golden ratio (φ)
Digit 4,663 = 4
√2 — Pythagoras's (√2)
Digit 4,663 = 3
ln 2 — Natural log of 2
Digit 4,663 = 9
γ — Euler-Mascheroni (γ)
Digit 4,663 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,657 (gap of 6)
  • Next prime: 4,673 (gap of 10)

Pair status: sexy with 4657.

Unicode codepoint
Ethiopic Syllable Swa
U+1237
Other letter (Lo)

UTF-8 encoding: E1 88 B7 (3 bytes).

Hex color
#001237
RGB(0, 18, 55)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.18.55.

Address
0.0.18.55
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.18.55

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

Musical pitch

Heard as a frequency, 4,663 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D8 (4698.6 Hz, -13¢)
  • Scientific pitch (C4 = 256 Hz): D8 (4597.6 Hz, +24¢)
  • Baroque pitch (A4 = 415 Hz): D♯8 (4695.2 Hz, -12¢)
Position in π

The digit sequence 4663 first appears in π at position 13,470 of the decimal expansion (the 13,470ordinal-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.