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480,329

480,329 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.).

480,329 (four hundred eighty thousand three hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x75449.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
923,084
Square (n²)
230,715,948,241
Cube (n³)
110,819,560,702,651,289
Divisor count
2
σ(n) — sum of divisors
480,330
φ(n) — Euler's totient
480,328

Primality

480,329 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 480329
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 480,329)
1 × 480329
First multiples
480,329 · 960,658 (double) · 1,440,987 · 1,921,316 · 2,401,645 · 2,881,974 · 3,362,303 · 3,842,632 · 4,322,961 · 4,803,290

Sums & aliquot sequence

As a sum of two squares: 235² + 652²
As consecutive integers: 240,164 + 240,165

Continued fraction of √n

√480,329 = [693; (17, 3, 14, 3, 1, 3, 1, 3, 1, 3, 2, 1, 7, 1, 4, 3, 1, 2, 1, 2, 1, 19, 1, 21, …)]

Representations

In words
four hundred eighty thousand three hundred twenty-nine
Ordinal
480329th
Binary
1110101010001001001
Octal
1652111
Hexadecimal
0x75449
Base64
B1RJ
One's complement
4,294,486,966 (32-bit)
Scientific notation
4.80329 × 10⁵
As a duration
480,329 s = 5 days, 13 hours, 25 minutes, 29 seconds
In other bases
ternary (3) 220101212222
quaternary (4) 1311101021
quinary (5) 110332304
senary (6) 14143425
septenary (7) 4040243
nonary (9) 811788
undecimal (11) 2a8973
duodecimal (12) 1b1b75
tridecimal (13) 13a825
tetradecimal (14) c7093
pentadecimal (15) 974be

As an angle

480,329° = 1,334 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υπτκθʹ
Chinese
四十八萬零三百二十九
Chinese (financial)
肆拾捌萬零參佰貳拾玖
In other modern scripts
Eastern Arabic ٤٨٠٣٢٩ Devanagari ४८०३२९ Bengali ৪৮০৩২৯ Tamil ௪௮௦௩௨௯ Thai ๔๘๐๓๒๙ Tibetan ༤༨༠༣༢༩ Khmer ៤៨០៣២៩ Lao ໔໘໐໓໒໙ Burmese ၄၈၀၃၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#075449
RGB(7, 84, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.84.73.

Address
0.7.84.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.84.73

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 480,329 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 480329 first appears in π at position 82,628 of the decimal expansion (the 82,628ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.