Live analysis

506,004

506,004 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.).

506,004 (five hundred six thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 149 × 283. Its proper divisors sum to 686,796, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7B894.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

505,992 505,993 505,994 505,995 505,996 505,997 505,998 505,999 506,000 506,001 506,002 506,003 506,004 506,005 506,006 506,007 506,008 506,009 506,010 506,011 506,012 506,013 506,014 506,015 506,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 400,605
Square (n²): 256,040,048,016
Cube (n³): 129,557,288,456,288,064
Divisor count: 24
σ(n) — sum of divisors: 1,192,800
φ(n) — Euler's totient: 166,944
Sum of prime factors: 439

Primality

Prime factorization: 2 ² × 3 × 149 × 283

Nearest primes: 505,979 (−25) · 506,047 (+43)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 149 · 283 · 298 · 447 · 566 · 596 · 849 · 894 · 1132 · 1698 · 1788 · 3396 · 42167 · 84334 · 126501 · 168668 · 253002 (half) · 506004

Aliquot sum (sum of proper divisors): 686,796

Factor pairs (a × b = 506,004)

1 × 506004

2 × 253002

3 × 168668

4 × 126501

6 × 84334

12 × 42167

149 × 3396

283 × 1788

298 × 1698

447 × 1132

566 × 894

596 × 849

First multiples

506,004 · 1,012,008 (double) · 1,518,012 · 2,024,016 · 2,530,020 · 3,036,024 · 3,542,028 · 4,048,032 · 4,554,036 · 5,060,040

Sums & aliquot sequence

As consecutive integers: 168,667 + 168,668 + 168,669 63,247 + 63,248 + … + 63,254 21,072 + 21,073 + … + 21,095 3,322 + 3,323 + … + 3,470

Aliquot sequence: 506,004 → 686,796 → 1,116,852 → 1,726,380 → 3,918,420 → 9,054,540 → 22,788,180 → 46,336,512 → 78,780,480 → 173,593,920 → 380,825,088 → 778,684,032 → 1,825,792,128 → 3,428,118,222 → 3,431,004,978 → 3,431,004,990 → 7,217,276,610 — unresolved within range

Continued fraction of √n

√506,004 = [711; (2, 1, 17, 8, 1, 1, 3, 3, 3, 1, 1, 1, 12, 1, 1, 1, 11, 3, 2, 1, 2, 1, 1, 1, …)]

Representations

In words: five hundred six thousand four
Ordinal: 506004th
Binary: 1111011100010010100
Octal: 1734224
Hexadecimal: 0x7B894
Base64: B7iU
One's complement: 4,294,461,291 (32-bit)
Scientific notation: 5.06004 × 10⁵
As a duration: 506,004 s = 5 days, 20 hours, 33 minutes, 24 seconds

In other bases

ternary (3) 221201002220

quaternary (4) 1323202110

quinary (5) 112143004

senary (6) 14502340

septenary (7) 4205142

nonary (9) 851086

undecimal (11) 316194

duodecimal (12) 2049b0

tridecimal (13) 149415

tetradecimal (14) d2592

pentadecimal (15) 9edd9

As an angle

506,004° = 1,405 × 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 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵φϛδʹ
Chinese: 五十萬六千零四
Chinese (financial): 伍拾萬陸仟零肆

In other modern scripts

Eastern Arabic ٥٠٦٠٠٤ Devanagari ५०६००४ Bengali ৫০৬০০৪ Tamil ௫௦௬௦௦௪ Thai ๕๐๖๐๐๔ Tibetan ༥༠༦༠༠༤ Khmer ៥០៦០០៤ Lao ໕໐໖໐໐໔ Burmese ၅၀၆၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 506004, here are decompositions:

43 + 505961 = 506004
97 + 505907 = 506004
127 + 505877 = 506004
137 + 505867 = 506004
181 + 505823 = 506004
193 + 505811 = 506004
223 + 505781 = 506004
227 + 505777 = 506004

Showing the first eight; more decompositions exist.

Hex color

#07B894

RGB(7, 184, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.184.148.

Address: 0.7.184.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.184.148

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 506,004 and was likely granted around 1893.

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

Look up US506,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 506004 first appears in π at position 230,497 of the decimal expansion (the 230,497ordinal-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 506004 on Pi Search ↗