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480,023

480,023 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.).

480,023 (four hundred eighty thousand twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x75317.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Safe Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
320,084
Square (n²)
230,422,080,529
Cube (n³)
110,607,898,361,772,167
Divisor count
2
σ(n) — sum of divisors
480,024
φ(n) — Euler's totient
480,022

Primality

480,023 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 480023
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 480,023)
1 × 480023
First multiples
480,023 · 960,046 (double) · 1,440,069 · 1,920,092 · 2,400,115 · 2,880,138 · 3,360,161 · 3,840,184 · 4,320,207 · 4,800,230

Sums & aliquot sequence

As consecutive integers: 240,011 + 240,012

Continued fraction of √n

√480,023 = [692; (1, 5, 7, 1, 1, 2, 1, 5, 1, 10, 1, 1, 35, 1, 16, 1, 1, 3, 4, 1, 62, 5, 1, 2, …)]

Representations

In words
four hundred eighty thousand twenty-three
Ordinal
480023rd
Binary
1110101001100010111
Octal
1651427
Hexadecimal
0x75317
Base64
B1MX
One's complement
4,294,487,272 (32-bit)
Scientific notation
4.80023 × 10⁵
As a duration
480,023 s = 5 days, 13 hours, 20 minutes, 23 seconds
In other bases
ternary (3) 220101110122
quaternary (4) 1311030113
quinary (5) 110330043
senary (6) 14142155
septenary (7) 4036325
nonary (9) 811418
undecimal (11) 2a8715
duodecimal (12) 1b195b
tridecimal (13) 13a64b
tetradecimal (14) c6d15
pentadecimal (15) 97368

As an angle

480,023° = 1,333 × 360° + 143°
143° ≈ 2.496 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υπκγʹ
Chinese
四十八萬零二十三
Chinese (financial)
肆拾捌萬零貳拾參
In other modern scripts
Eastern Arabic ٤٨٠٠٢٣ Devanagari ४८००२३ Bengali ৪৮০০২৩ Tamil ௪௮௦௦௨௩ Thai ๔๘๐๐๒๓ Tibetan ༤༨༠༠༢༣ Khmer ៤៨០០២៣ Lao ໔໘໐໐໒໓ Burmese ၄၈၀၀၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 480019.

Hex color
#075317
RGB(7, 83, 23)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.83.23.

Address
0.7.83.23
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.83.23

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 480,023 and was likely granted around 1892.

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.