Live analysis

504,000

504,000 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.).

504,000 (five hundred four thousand) is an even 6-digit number. It is a composite number with 168 divisors, and factors as 2⁶ × 3² × 5³ × 7. Its proper divisors sum to 1,556,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7B0C0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

503,988 503,989 503,990 503,991 503,992 503,993 503,994 503,995 503,996 503,997 503,998 503,999 504,000 504,001 504,002 504,003 504,004 504,005 504,006 504,007 504,008 504,009 504,010 504,011 504,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 405
Square (n²): 254,016,000,000
Cube (n³): 128,024,064,000,000,000
Divisor count: 168
σ(n) — sum of divisors: 2,060,448
φ(n) — Euler's totient: 115,200
Sum of prime factors: 40

Primality

Prime factorization: 2 ⁶ × 3 ² × 5 ³ × 7

Nearest primes: 503,989 (−11) · 504,001 (+1)

Divisors & multiples

All divisors (168)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 25 · 28 · 30 · 32 · 35 · 36 · 40 · 42 · 45 · 48 · 50 · 56 · 60 · 63 · 64 · 70 · 72 · 75 · 80 · 84 · 90 · 96 · 100 · 105 · 112 · 120 · 125 · 126 · 140 · 144 · 150 · 160 · 168 · 175 · 180 · 192 · 200 · 210 · 224 · 225 · 240 · 250 · 252 · 280 · 288 · 300 · 315 · 320 · 336 · 350 · 360 · 375 · 400 · 420 · 448 · 450 · 480 · 500 · 504 · 525 · 560 · 576 · 600 · 630 · 672 · 700 · 720 · 750 · 800 · 840 · 875 · 900 · 960 · 1000 · 1008 · 1050 · 1120 · 1125 · 1200 · 1260 · 1344 · 1400 · 1440 · 1500 · 1575 · 1600 · 1680 · 1750 · 1800 · 2000 · 2016 · 2100 · 2240 · 2250 · 2400 · 2520 · 2625 · 2800 · 2880 · 3000 · 3150 · 3360 · 3500 · 3600 · 4000 · 4032 · 4200 · 4500 · 4800 · 5040 · 5250 · 5600 · 6000 · 6300 · 6720 · 7000 · 7200 · 7875 · 8000 · 8400 · 9000 · 10080 · 10500 · 11200 · 12000 · 12600 · 14000 · 14400 · 15750 · 16800 · 18000 · 20160 · 21000 · 24000 · 25200 · 28000 · 31500 · 33600 · 36000 · 42000 · 50400 · 56000 · 63000 · 72000 · 84000 · 100800 · 126000 · 168000 · 252000 (half) · 504000

Aliquot sum (sum of proper divisors): 1,556,448

Factor pairs (a × b = 504,000)

1 × 504000

2 × 252000

3 × 168000

4 × 126000

5 × 100800

6 × 84000

7 × 72000

8 × 63000

9 × 56000

10 × 50400

12 × 42000

14 × 36000

15 × 33600

16 × 31500

18 × 28000

20 × 25200

21 × 24000

24 × 21000

25 × 20160

28 × 18000

30 × 16800

32 × 15750

35 × 14400

36 × 14000

40 × 12600

42 × 12000

45 × 11200

48 × 10500

50 × 10080

56 × 9000

60 × 8400

63 × 8000

64 × 7875

70 × 7200

72 × 7000

75 × 6720

80 × 6300

84 × 6000

90 × 5600

96 × 5250

100 × 5040

105 × 4800

112 × 4500

120 × 4200

125 × 4032

126 × 4000

140 × 3600

144 × 3500

150 × 3360

160 × 3150

168 × 3000

175 × 2880

180 × 2800

192 × 2625

200 × 2520

210 × 2400

224 × 2250

225 × 2240

240 × 2100

250 × 2016

252 × 2000

280 × 1800

288 × 1750

300 × 1680

315 × 1600

320 × 1575

336 × 1500

350 × 1440

360 × 1400

375 × 1344

400 × 1260

420 × 1200

448 × 1125

450 × 1120

480 × 1050

500 × 1008

504 × 1000

525 × 960

560 × 900

576 × 875

600 × 840

630 × 800

672 × 750

700 × 720

First multiples

504,000 · 1,008,000 (double) · 1,512,000 · 2,016,000 · 2,520,000 · 3,024,000 · 3,528,000 · 4,032,000 · 4,536,000 · 5,040,000

Sums & aliquot sequence

As consecutive integers: 167,999 + 168,000 + 168,001 100,798 + 100,799 + 100,800 + 100,801 + 100,802 71,997 + 71,998 + … + 72,003 55,996 + 55,997 + … + 56,004

Aliquot sequence: 504,000 → 1,556,448 → 2,669,088 → 4,337,520 → 11,090,064 → 19,622,256 → 32,707,728 → 67,571,568 → 127,648,080 → 417,078,960 → 940,929,360 → 2,723,121,840 → 6,019,747,152 → 10,586,570,928 — keeps growing

Continued fraction of √n

√504,000 = [709; (1, 13, 5, 56, 1, 1, 2, 13, 1, 3, 1, 55, 1, 353, 1, 55, 1, 3, 1, 13, 2, 1, 1, 56, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: five hundred four thousand
Ordinal: 504000th
Binary: 1111011000011000000
Octal: 1730300
Hexadecimal: 0x7B0C0
Base64: B7DA
One's complement: 4,294,463,295 (32-bit)
Scientific notation: 5.04 × 10⁵
As a duration: 504,000 s = 5 days, 20 hours

In other bases

ternary (3) 221121100200

quaternary (4) 1323003000

quinary (5) 112112000

senary (6) 14445200

septenary (7) 4166250

nonary (9) 847320

undecimal (11) 314732

duodecimal (12) 203800

tridecimal (13) 148533

tetradecimal (14) d1960

pentadecimal (15) 9e500

As an angle

504,000° = 1,400 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋 · ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼
Greek (Milesian): ͵φδ
Chinese: 五十萬四千
Chinese (financial): 伍拾萬肆仟

In other modern scripts

Eastern Arabic ٥٠٤٠٠٠ Devanagari ५०४००० Bengali ৫০৪০০০ Tamil ௫௦௪௦௦௦ Thai ๕๐๔๐๐๐ Tibetan ༥༠༤༠༠༠ Khmer ៥០៤០០០ Lao ໕໐໔໐໐໐ Burmese ၅၀၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 504000, here are decompositions:

11 + 503989 = 504000
17 + 503983 = 504000
31 + 503969 = 504000
37 + 503963 = 504000
41 + 503959 = 504000
53 + 503947 = 504000
61 + 503939 = 504000
71 + 503929 = 504000

Showing the first eight; more decompositions exist.

Hex color

#07B0C0

RGB(7, 176, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.176.192.

Address: 0.7.176.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.176.192

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 504,000 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 US504,000 on Google Patents ↗ Look up on USPTO ↗