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480,133

480,133 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.).

480,133 (four hundred eighty thousand one hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x75385.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
331,084
Square (n²)
230,527,697,689
Cube (n³)
110,683,955,074,512,637
Divisor count
2
σ(n) — sum of divisors
480,134
φ(n) — Euler's totient
480,132

Primality

480,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 480133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 480,133)
1 × 480133
First multiples
480,133 · 960,266 (double) · 1,440,399 · 1,920,532 · 2,400,665 · 2,880,798 · 3,360,931 · 3,841,064 · 4,321,197 · 4,801,330

Sums & aliquot sequence

As a sum of two squares: 143² + 678²
As consecutive integers: 240,066 + 240,067

Continued fraction of √n

√480,133 = [692; (1, 10, 1, 18, 14, 1, 5, 1, 1, 1, 1, 11, 4, 5, 4, 3, 2, 1, 1, 30, 1, 9, 1, 3, …)]

Representations

In words
four hundred eighty thousand one hundred thirty-three
Ordinal
480133rd
Binary
1110101001110000101
Octal
1651605
Hexadecimal
0x75385
Base64
B1OF
One's complement
4,294,487,162 (32-bit)
Scientific notation
4.80133 × 10⁵
As a duration
480,133 s = 5 days, 13 hours, 22 minutes, 13 seconds
In other bases
ternary (3) 220101121201
quaternary (4) 1311032011
quinary (5) 110331013
senary (6) 14142501
septenary (7) 4036543
nonary (9) 811551
undecimal (11) 2a8805
duodecimal (12) 1b1a31
tridecimal (13) 13a704
tetradecimal (14) c6d93
pentadecimal (15) 973dd

As an angle

480,133° = 1,333 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υπρλγʹ
Chinese
四十八萬零一百三十三
Chinese (financial)
肆拾捌萬零壹佰參拾參
In other modern scripts
Eastern Arabic ٤٨٠١٣٣ Devanagari ४८०१३३ Bengali ৪৮০১৩৩ Tamil ௪௮௦௧௩௩ Thai ๔๘๐๑๓๓ Tibetan ༤༨༠༡༣༣ Khmer ៤៨០១៣៣ Lao ໔໘໐໑໓໓ Burmese ၄၈၀၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#075385
RGB(7, 83, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.83.133.

Address
0.7.83.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.83.133

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 480,133 and was likely granted around 1892.

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

Position in π

The digit sequence 480133 first appears in π at position 410,981 of the decimal expansion (the 410,981ordinal-suffix:st 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.