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Number

4,493

4,493 is a prime, odd.

4,493 (four thousand four hundred ninety-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x118D.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
432
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
3,944
Recamán's sequence
a(5,754) = 4,493
Square (n²)
20,187,049
Cube (n³)
90,700,411,157
Divisor count
2
σ(n) — sum of divisors
4,494
φ(n) — Euler's totient
4,492

Primality

4,493 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4493
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,493)
1 × 4493
First multiples
4,493 · 8,986 (double) · 13,479 · 17,972 · 22,465 · 26,958 · 31,451 · 35,944 · 40,437 · 44,930

Sums & aliquot sequence

As a sum of two squares: 2² + 67²
As consecutive integers: 2,246 + 2,247

Continued fraction of √n

√4,493 = [67; (33, 1, 1, 33, 134)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
four thousand four hundred ninety-three
Ordinal
4493rd
Binary
1000110001101
Octal
10615
Hexadecimal
0x118D
Base64
EY0=
One's complement
61,042 (16-bit)
Scientific notation
4.493 × 10³
As a duration
4,493 s = 1 hour, 14 minutes, 53 seconds
In other bases
ternary (3) 20011102
quaternary (4) 1012031
quinary (5) 120433
senary (6) 32445
septenary (7) 16046
nonary (9) 6142
undecimal (11) 3415
duodecimal (12) 2725
tridecimal (13) 2078
tetradecimal (14) 18cd
pentadecimal (15) 14e8

As an angle

4,493° = 12 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵δυϟγʹ
Mayan (base 20)
𝋫·𝋤·𝋭
Chinese
四千四百九十三
Chinese (financial)
肆仟肆佰玖拾參
In other modern scripts
Eastern Arabic ٤٤٩٣ Devanagari ४४९३ Bengali ৪৪৯৩ Tamil ௪௪௯௩ Thai ๔๔๙๓ Tibetan ༤༤༩༣ Khmer ៤៤៩៣ Lao ໔໔໙໓ Burmese ၄၄၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 4,493 = 9
e — Euler's number (e)
Digit 4,493 = 9
φ — Golden ratio (φ)
Digit 4,493 = 6
√2 — Pythagoras's (√2)
Digit 4,493 = 2
ln 2 — Natural log of 2
Digit 4,493 = 1
γ — Euler-Mascheroni (γ)
Digit 4,493 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,483 (gap of 10)
  • Next prime: 4,507 (gap of 14)
Unicode codepoint
Hangul Jungseong U-U
U+118D
Other letter (Lo)

UTF-8 encoding: E1 86 8D (3 bytes).

Hex color
#00118D
RGB(0, 17, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.141.

Address
0.0.17.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.17.141

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

Musical pitch

Heard as a frequency, 4,493 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, +23¢)
  • Scientific pitch (C4 = 256 Hz): D8 (4597.6 Hz, -40¢)
  • Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, +24¢)
Position in π

The digit sequence 4493 first appears in π at position 23,285 of the decimal expansion (the 23,285ordinal-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.