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Number

4,673

4,673 is a prime, odd.

4,673 (four thousand six hundred seventy-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1241.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
504
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
3,764
Recamán's sequence
a(5,394) = 4,673
Square (n²)
21,836,929
Cube (n³)
102,043,969,217
Divisor count
2
σ(n) — sum of divisors
4,674
φ(n) — Euler's totient
4,672

Primality

4,673 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4673
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,673)
1 × 4673
First multiples
4,673 · 9,346 (double) · 14,019 · 18,692 · 23,365 · 28,038 · 32,711 · 37,384 · 42,057 · 46,730

Sums & aliquot sequence

As a sum of two squares: 7² + 68²
As consecutive integers: 2,336 + 2,337

Continued fraction of √n

√4,673 = [68; (2, 1, 3, 1, 1, 1, 1, 7, 2, 3, 4, 2, 2, 1, 7, 1, 5, 16, 1, 11, 2, 19, 19, 2, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
four thousand six hundred seventy-three
Ordinal
4673rd
Binary
1001001000001
Octal
11101
Hexadecimal
0x1241
Base64
EkE=
One's complement
60,862 (16-bit)
Scientific notation
4.673 × 10³
As a duration
4,673 s = 1 hour, 17 minutes, 53 seconds
In other bases
ternary (3) 20102002
quaternary (4) 1021001
quinary (5) 122143
senary (6) 33345
septenary (7) 16424
nonary (9) 6362
undecimal (11) 3569
duodecimal (12) 2855
tridecimal (13) 2186
tetradecimal (14) 19bb
pentadecimal (15) 15b8

As an angle

4,673° = 12 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵δχογʹ
Mayan (base 20)
𝋫·𝋭·𝋭
Chinese
四千六百七十三
Chinese (financial)
肆仟陸佰柒拾參
In other modern scripts
Eastern Arabic ٤٦٧٣ Devanagari ४६७३ Bengali ৪৬৭৩ Tamil ௪௬௭௩ Thai ๔๖๗๓ Tibetan ༤༦༧༣ Khmer ៤៦៧៣ Lao ໔໖໗໓ Burmese ၄၆၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 4,673 = 9
e — Euler's number (e)
Digit 4,673 = 8
φ — Golden ratio (φ)
Digit 4,673 = 3
√2 — Pythagoras's (√2)
Digit 4,673 = 5
ln 2 — Natural log of 2
Digit 4,673 = 6
γ — Euler-Mascheroni (γ)
Digit 4,673 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,663 (gap of 10)
  • Next prime: 4,679 (gap of 6)

Pair status: sexy with 4679.

Unicode codepoint
Ethiopic Syllable Qu
U+1241
Other letter (Lo)

UTF-8 encoding: E1 89 81 (3 bytes).

Hex color
#001241
RGB(0, 18, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.18.65.

Address
0.0.18.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.18.65

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

Musical pitch

Heard as a frequency, 4,673 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D8 (4698.6 Hz, -9¢)
  • Scientific pitch (C4 = 256 Hz): D8 (4597.6 Hz, +28¢)
  • Baroque pitch (A4 = 415 Hz): D♯8 (4695.2 Hz, -8¢)
Position in π

The digit sequence 4673 first appears in π at position 15,252 of the decimal expansion (the 15,252ordinal-suffix:nd 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.