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488,321

488,321 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.).

488,321 (four hundred eighty-eight thousand three hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x77381.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,536
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
123,884
Square (n²)
238,457,399,041
Cube (n³)
116,443,755,557,100,161
Divisor count
2
σ(n) — sum of divisors
488,322
φ(n) — Euler's totient
488,320

Primality

488,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 488321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 488,321)
1 × 488321
First multiples
488,321 · 976,642 (double) · 1,464,963 · 1,953,284 · 2,441,605 · 2,929,926 · 3,418,247 · 3,906,568 · 4,394,889 · 4,883,210

Sums & aliquot sequence

As a sum of two squares: 161² + 680²
As consecutive integers: 244,160 + 244,161

Continued fraction of √n

√488,321 = [698; (1, 3, 1, 126, 3, 1, 13, 11, 2, 10, 1, 2, 2, 1, 3, 2, 8, 7, 2, 10, 2, 4, 1, 1, …)]

Representations

In words
four hundred eighty-eight thousand three hundred twenty-one
Ordinal
488321st
Binary
1110111001110000001
Octal
1671601
Hexadecimal
0x77381
Base64
B3OB
One's complement
4,294,478,974 (32-bit)
Scientific notation
4.88321 × 10⁵
As a duration
488,321 s = 5 days, 15 hours, 38 minutes, 41 seconds
In other bases
ternary (3) 220210211222
quaternary (4) 1313032001
quinary (5) 111111241
senary (6) 14244425
septenary (7) 4102451
nonary (9) 823758
undecimal (11) 303979
duodecimal (12) 1b6715
tridecimal (13) 141362
tetradecimal (14) c9d61
pentadecimal (15) 99a4b

As an angle

488,321° = 1,356 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵υπητκαʹ
Chinese
四十八萬八千三百二十一
Chinese (financial)
肆拾捌萬捌仟參佰貳拾壹
In other modern scripts
Eastern Arabic ٤٨٨٣٢١ Devanagari ४८८३२१ Bengali ৪৮৮৩২১ Tamil ௪௮௮௩௨௧ Thai ๔๘๘๓๒๑ Tibetan ༤༨༨༣༢༡ Khmer ៤៨៨៣២១ Lao ໔໘໘໓໒໑ Burmese ၄၈၈၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 488317.

Hex color
#077381
RGB(7, 115, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.115.129.

Address
0.7.115.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.115.129

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 488,321 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.