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493,013

493,013 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.).

493,013 (four hundred ninety-three thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x785D5.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
310,394
Square (n²)
243,061,818,169
Cube (n³)
119,832,636,160,953,197
Divisor count
2
σ(n) — sum of divisors
493,014
φ(n) — Euler's totient
493,012

Primality

493,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 493013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 493,013)
1 × 493013
First multiples
493,013 · 986,026 (double) · 1,479,039 · 1,972,052 · 2,465,065 · 2,958,078 · 3,451,091 · 3,944,104 · 4,437,117 · 4,930,130

Sums & aliquot sequence

As a sum of two squares: 167² + 682²
As consecutive integers: 246,506 + 246,507

Continued fraction of √n

√493,013 = [702; (6, 1, 2, 1, 1, 4, 2, 1, 2, 2, 1, 10, 60, 1, 26, 45, 3, 1, 4, 9, 3, 1, 1, 2, …)]

Representations

In words
four hundred ninety-three thousand thirteen
Ordinal
493013th
Binary
1111000010111010101
Octal
1702725
Hexadecimal
0x785D5
Base64
B4XV
One's complement
4,294,474,282 (32-bit)
Scientific notation
4.93013 × 10⁵
As a duration
493,013 s = 5 days, 16 hours, 56 minutes, 53 seconds
In other bases
ternary (3) 221001021202
quaternary (4) 1320113111
quinary (5) 111234023
senary (6) 14322245
septenary (7) 4122233
nonary (9) 831252
undecimal (11) 307454
duodecimal (12) 1b9385
tridecimal (13) 143531
tetradecimal (14) cb953
pentadecimal (15) 9b128

As an angle

493,013° = 1,369 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υϟγιγʹ
Chinese
四十九萬三千零一十三
Chinese (financial)
肆拾玖萬參仟零壹拾參
In other modern scripts
Eastern Arabic ٤٩٣٠١٣ Devanagari ४९३०१३ Bengali ৪৯৩০১৩ Tamil ௪௯௩௦௧௩ Thai ๔๙๓๐๑๓ Tibetan ༤༩༣༠༡༣ Khmer ៤៩៣០១៣ Lao ໔໙໓໐໑໓ Burmese ၄၉၃၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0785D5
RGB(7, 133, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.133.213.

Address
0.7.133.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.133.213

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 493,013 and was likely granted around 1893.

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

Position in π

The digit sequence 493013 first appears in π at position 30,433 of the decimal expansion (the 30,433ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.