Live analysis

504,400

504,400 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.).

504,400 (five hundred four thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 13 × 97. Its proper divisors sum to 814,092, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7B250.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

504,388 504,389 504,390 504,391 504,392 504,393 504,394 504,395 504,396 504,397 504,398 504,399 504,400 504,401 504,402 504,403 504,404 504,405 504,406 504,407 504,408 504,409 504,410 504,411 504,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 4,405
Square (n²): 254,419,360,000
Cube (n³): 128,329,125,184,000,000
Divisor count: 60
σ(n) — sum of divisors: 1,318,492
φ(n) — Euler's totient: 184,320
Sum of prime factors: 128

Primality

Prime factorization: 2 ⁴ × 5 ² × 13 × 97

Nearest primes: 504,389 (−11) · 504,403 (+3)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 25 · 26 · 40 · 50 · 52 · 65 · 80 · 97 · 100 · 104 · 130 · 194 · 200 · 208 · 260 · 325 · 388 · 400 · 485 · 520 · 650 · 776 · 970 · 1040 · 1261 · 1300 · 1552 · 1940 · 2425 · 2522 · 2600 · 3880 · 4850 · 5044 · 5200 · 6305 · 7760 · 9700 · 10088 · 12610 · 19400 · 20176 · 25220 · 31525 · 38800 · 50440 · 63050 · 100880 · 126100 · 252200 (half) · 504400

Aliquot sum (sum of proper divisors): 814,092

Factor pairs (a × b = 504,400)

1 × 504400

2 × 252200

4 × 126100

5 × 100880

8 × 63050

10 × 50440

13 × 38800

16 × 31525

20 × 25220

25 × 20176

26 × 19400

40 × 12610

50 × 10088

52 × 9700

65 × 7760

80 × 6305

97 × 5200

100 × 5044

104 × 4850

130 × 3880

194 × 2600

200 × 2522

208 × 2425

260 × 1940

325 × 1552

388 × 1300

400 × 1261

485 × 1040

520 × 970

650 × 776

First multiples

504,400 · 1,008,800 (double) · 1,513,200 · 2,017,600 · 2,522,000 · 3,026,400 · 3,530,800 · 4,035,200 · 4,539,600 · 5,044,000

Sums & aliquot sequence

As a sum of two squares: 56² + 708² = 120² + 700² = 252² + 664² = 324² + 632²

As consecutive integers: 100,878 + 100,879 + 100,880 + 100,881 + 100,882 38,794 + 38,795 + … + 38,806 20,164 + 20,165 + … + 20,188 15,747 + 15,748 + … + 15,778

Aliquot sequence: 504,400 → 814,092 → 1,101,108 → 1,499,532 → 2,263,668 → 3,545,772 → 5,405,268 → 8,353,932 → 11,220,084 → 17,286,576 → 27,918,864 → 52,219,856 → 56,739,316 → 42,554,494 → 21,277,250 → 18,554,230 → 14,843,402 — unresolved within range

Continued fraction of √n

√504,400 = [710; (4, 1, 2, 1, 3, 6, 22, 28, 1, 16, 1, 1, 3, 21, 1, 10, 17, 1, 7, 1, 87, 1, 7, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: five hundred four thousand four hundred
Ordinal: 504400th
Binary: 1111011001001010000
Octal: 1731120
Hexadecimal: 0x7B250
Base64: B7JQ
One's complement: 4,294,462,895 (32-bit)
Scientific notation: 5.044 × 10⁵
As a duration: 504,400 s = 5 days, 20 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 221121220111

quaternary (4) 1323021100

quinary (5) 112120100

senary (6) 14451104

septenary (7) 4200361

nonary (9) 847814

undecimal (11) 314a66

duodecimal (12) 203a94

tridecimal (13) 148780

tetradecimal (14) d1b68

pentadecimal (15) 9e6ba

As an angle

504,400° = 1,401 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵φδυʹ
Chinese: 五十萬四千四百
Chinese (financial): 伍拾萬肆仟肆佰

In other modern scripts

Eastern Arabic ٥٠٤٤٠٠ Devanagari ५०४४०० Bengali ৫০৪৪০০ Tamil ௫௦௪௪௦௦ Thai ๕๐๔๔๐๐ Tibetan ༥༠༤༤༠༠ Khmer ៥០៤៤០០ Lao ໕໐໔໔໐໐ Burmese ၅၀၄၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 504400, here are decompositions:

11 + 504389 = 504400
23 + 504377 = 504400
41 + 504359 = 504400
47 + 504353 = 504400
89 + 504311 = 504400
101 + 504299 = 504400
131 + 504269 = 504400
179 + 504221 = 504400

Showing the first eight; more decompositions exist.

Hex color

#07B250

RGB(7, 178, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.178.80.

Address: 0.7.178.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.178.80

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 504,400 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 US504,400 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 504400 first appears in π at position 234,115 of the decimal expansion (the 234,115ordinal-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 504400 on Pi Search ↗