Live analysis

488,004

488,004 is a composite number, even.

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.).

488,004 (four hundred eighty-eight thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 3,697. Its proper divisors sum to 754,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77244.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

487,992 487,993 487,994 487,995 487,996 487,997 487,998 487,999 488,000 488,001 488,002 488,003 488,004 488,005 488,006 488,007 488,008 488,009 488,010 488,011 488,012 488,013 488,014 488,015 488,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 400,884
Recamán's sequence: a(146,352) = 488,004
Square (n²): 238,147,904,016
Cube (n³): 116,217,129,751,424,064
Divisor count: 24
σ(n) — sum of divisors: 1,242,528
φ(n) — Euler's totient: 147,840
Sum of prime factors: 3,715

Primality

Prime factorization: 2 ² × 3 × 11 × 3697

Nearest primes: 488,003 (−1) · 488,009 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 3697 · 7394 · 11091 · 14788 · 22182 · 40667 · 44364 · 81334 · 122001 · 162668 · 244002 (half) · 488004

Aliquot sum (sum of proper divisors): 754,524

Factor pairs (a × b = 488,004)

1 × 488004

2 × 244002

3 × 162668

4 × 122001

6 × 81334

11 × 44364

12 × 40667

22 × 22182

33 × 14788

44 × 11091

66 × 7394

132 × 3697

First multiples

488,004 · 976,008 (double) · 1,464,012 · 1,952,016 · 2,440,020 · 2,928,024 · 3,416,028 · 3,904,032 · 4,392,036 · 4,880,040

Sums & aliquot sequence

As consecutive integers: 162,667 + 162,668 + 162,669 60,997 + 60,998 + … + 61,004 44,359 + 44,360 + … + 44,369 20,322 + 20,323 + … + 20,345

Aliquot sequence: 488,004 → 754,524 → 1,152,836 → 864,634 → 432,320 → 750,304 → 726,920 → 1,006,480 → 1,439,792 → 1,476,316 → 1,107,244 → 1,054,916 → 791,194 → 395,600 → 619,216 → 685,574 → 346,666 — unresolved within range

Continued fraction of √n

√488,004 = [698; (1, 1, 2, 1, 13, 1, 5, 4, 2, 21, 2, 1, 1, 1, 1, 8, 3, 1, 1, 10, 1, 2, 3, 5, …)]

Representations

In words: four hundred eighty-eight thousand four
Ordinal: 488004th
Binary: 1110111001001000100
Octal: 1671104
Hexadecimal: 0x77244
Base64: B3JE
One's complement: 4,294,479,291 (32-bit)
Scientific notation: 4.88004 × 10⁵
As a duration: 488,004 s = 5 days, 15 hours, 33 minutes, 24 seconds

In other bases

ternary (3) 220210102020

quaternary (4) 1313021010

quinary (5) 111104004

senary (6) 14243140

septenary (7) 4101516

nonary (9) 823366

undecimal (11) 303710

duodecimal (12) 1b64b0

tridecimal (13) 14117a

tetradecimal (14) c9bb6

pentadecimal (15) 998d9

As an angle

488,004° = 1,355 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υπηδʹ
Chinese: 四十八萬八千零四
Chinese (financial): 肆拾捌萬捌仟零肆

In other modern scripts

Eastern Arabic ٤٨٨٠٠٤ Devanagari ४८८००४ Bengali ৪৮৮০০৪ Tamil ௪௮௮௦௦௪ Thai ๔๘๘๐๐๔ Tibetan ༤༨༨༠༠༤ Khmer ៤៨៨០០៤ Lao ໔໘໘໐໐໔ Burmese ၄၈၈၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488004, here are decompositions:

7 + 487997 = 488004
31 + 487973 = 488004
61 + 487943 = 488004
71 + 487933 = 488004
107 + 487897 = 488004
113 + 487891 = 488004
131 + 487873 = 488004
173 + 487831 = 488004

Showing the first eight; more decompositions exist.

Hex color

#077244

RGB(7, 114, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.114.68.

Address: 0.7.114.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.114.68

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 488,004 and was likely granted around 1892.

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

Look up US488,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 488004 first appears in π at position 73,169 of the decimal expansion (the 73,169ordinal-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.

Look up 488004 on Pi Search ↗