Live analysis

480,004

480,004 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.).

480,004 (four hundred eighty thousand four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 7² × 31 × 79. Its proper divisors sum to 541,436, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75304.

Abundant Number Cube-Free Evil Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

479,992 479,993 479,994 479,995 479,996 479,997 479,998 479,999 480,000 480,001 480,002 480,003 480,004 480,005 480,006 480,007 480,008 480,009 480,010 480,011 480,012 480,013 480,014 480,015 480,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 400,084
Square (n²): 230,403,840,016
Cube (n³): 110,594,764,823,040,064
Divisor count: 36
σ(n) — sum of divisors: 1,021,440
φ(n) — Euler's totient: 196,560
Sum of prime factors: 128

Primality

Prime factorization: 2 ² × 7 ² × 31 × 79

Nearest primes: 479,971 (−33) · 480,013 (+9)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 7 · 14 · 28 · 31 · 49 · 62 · 79 · 98 · 124 · 158 · 196 · 217 · 316 · 434 · 553 · 868 · 1106 · 1519 · 2212 · 2449 · 3038 · 3871 · 4898 · 6076 · 7742 · 9796 · 15484 · 17143 · 34286 · 68572 · 120001 · 240002 (half) · 480004

Aliquot sum (sum of proper divisors): 541,436

Factor pairs (a × b = 480,004)

1 × 480004

2 × 240002

4 × 120001

7 × 68572

14 × 34286

28 × 17143

31 × 15484

49 × 9796

62 × 7742

79 × 6076

98 × 4898

124 × 3871

158 × 3038

196 × 2449

217 × 2212

316 × 1519

434 × 1106

553 × 868

First multiples

480,004 · 960,008 (double) · 1,440,012 · 1,920,016 · 2,400,020 · 2,880,024 · 3,360,028 · 3,840,032 · 4,320,036 · 4,800,040

Sums & aliquot sequence

As a sum of two cubes: 59³ + 65³

As consecutive integers: 68,569 + 68,570 + … + 68,575 59,997 + 59,998 + … + 60,004 15,469 + 15,470 + … + 15,499 9,772 + 9,773 + … + 9,820

Aliquot sequence: 480,004 → 541,436 → 562,660 → 788,060 → 1,253,476 → 1,286,684 → 1,286,740 → 2,131,892 → 2,297,008 → 2,789,472 → 5,742,744 → 10,665,576 → 18,933,084 → 29,833,452 → 52,435,644 → 73,362,756 → 98,460,924 — unresolved within range

Continued fraction of √n

√480,004 = [692; (1, 4, 1, 1, 1, 10, 5, 1, 1, 1, 1, 4, 4, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 3, …)]

Representations

In words: four hundred eighty thousand four
Ordinal: 480004th
Binary: 1110101001100000100
Octal: 1651404
Hexadecimal: 0x75304
Base64: B1ME
One's complement: 4,294,487,291 (32-bit)
Scientific notation: 4.80004 × 10⁵
As a duration: 480,004 s = 5 days, 13 hours, 20 minutes, 4 seconds

In other bases

ternary (3) 220101102221

quaternary (4) 1311030010

quinary (5) 110330004

senary (6) 14142124

septenary (7) 4036300

nonary (9) 811387

undecimal (11) 2a86a8

duodecimal (12) 1b1944

tridecimal (13) 13a635

tetradecimal (14) c6d00

pentadecimal (15) 97354

As an angle

480,004° = 1,333 × 360° + 124°

124° ≈ 2.164 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υπδʹ
Chinese: 四十八萬零四
Chinese (financial): 肆拾捌萬零肆

In other modern scripts

Eastern Arabic ٤٨٠٠٠٤ Devanagari ४८०००४ Bengali ৪৮০০০৪ Tamil ௪௮௦௦௦௪ Thai ๔๘๐๐๐๔ Tibetan ༤༨༠༠༠༤ Khmer ៤៨០០០៤ Lao ໔໘໐໐໐໔ Burmese ၄၈၀၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 480004, here are decompositions:

47 + 479957 = 480004
53 + 479951 = 480004
101 + 479903 = 480004
113 + 479891 = 480004
191 + 479813 = 480004
227 + 479777 = 480004
233 + 479771 = 480004
251 + 479753 = 480004

Showing the first eight; more decompositions exist.

Hex color

#075304

RGB(7, 83, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.83.4.

Address: 0.7.83.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.83.4

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 480,004 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 US480,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 480004 first appears in π at position 8,877 of the decimal expansion (the 8,877ordinal-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 480004 on Pi Search ↗