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493,313

493,313 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

493,313 (four hundred ninety-three thousand three hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x78701.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
972
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
313,394
Recamán's sequence
a(149,030) = 493,313
Square (n²)
243,357,715,969
Cube (n³)
120,051,524,937,815,297
Divisor count
2
σ(n) — sum of divisors
493,314
φ(n) — Euler's totient
493,312

Primality

493,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 493313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 493,313)
1 × 493313
First multiples
493,313 · 986,626 (double) · 1,479,939 · 1,973,252 · 2,466,565 · 2,959,878 · 3,453,191 · 3,946,504 · 4,439,817 · 4,933,130

Sums & aliquot sequence

As a sum of two squares: 217² + 668²
As consecutive integers: 246,656 + 246,657

Continued fraction of √n

√493,313 = [702; (2, 1, 3, 6, 1, 1, 1, 5, 73, 1, 3, 10, 3, 4, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, …)]

Representations

In words
four hundred ninety-three thousand three hundred thirteen
Ordinal
493313th
Binary
1111000011100000001
Octal
1703401
Hexadecimal
0x78701
Base64
B4cB
One's complement
4,294,473,982 (32-bit)
Scientific notation
4.93313 × 10⁵
As a duration
493,313 s = 5 days, 17 hours, 1 minute, 53 seconds
In other bases
ternary (3) 221001200212
quaternary (4) 1320130001
quinary (5) 111241223
senary (6) 14323505
septenary (7) 4123142
nonary (9) 831625
undecimal (11) 3076a7
duodecimal (12) 1b9595
tridecimal (13) 143702
tetradecimal (14) cbac9
pentadecimal (15) 9b278

As an angle

493,313° = 1,370 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υϟγτιγʹ
Chinese
四十九萬三千三百一十三
Chinese (financial)
肆拾玖萬參仟參佰壹拾參
In other modern scripts
Eastern Arabic ٤٩٣٣١٣ Devanagari ४९३३१३ Bengali ৪৯৩৩১৩ Tamil ௪௯௩௩௧௩ Thai ๔๙๓๓๑๓ Tibetan ༤༩༣༣༡༣ Khmer ៤៩៣៣១៣ Lao ໔໙໓໓໑໓ Burmese ၄၉၃၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#078701
RGB(7, 135, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.135.1.

Address
0.7.135.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.135.1

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 493,313 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.