Number

504

504 is a composite number, even, a calendar year.

504 (five hundred four) is an even 3-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 7. Its proper divisors sum to 1,056, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DIV and in binary, 111111000.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Highly Abundant Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Tribonacci Number Year

Interestingness

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8 notable facts · grade A

492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516

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Historical context — 504 AD

Calendar year

Year 504 (DIV) was a leap year starting on Thursday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 504 BC

Calendar year

The year 504 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Tuesday
January 1, 504
Ended on: Wednesday
December 31, 504
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 500s
500–509
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,522
1522 years before 2026.

In other calendars

Hebrew: 4264 / 4265 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1047 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 496 / 497 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 426 / 425 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 405
Recamán's sequence: a(264) = 504
Square (n²): 254,016
Cube (n³): 128,024,064
Divisor count: 24
σ(n) — sum of divisors: 1,560
φ(n) — Euler's totient: 144
Sum of prime factors: 19

Primality

Prime factorization: 2 ³ × 3 ² × 7

Nearest primes: 503 (−1) · 509 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 42 · 56 · 63 · 72 · 84 · 126 · 168 · 252 (half) · 504

Aliquot sum (sum of proper divisors): 1,056

Factor pairs (a × b = 504)

1 × 504

2 × 252

3 × 168

4 × 126

6 × 84

7 × 72

8 × 63

9 × 56

12 × 42

14 × 36

18 × 28

21 × 24

First multiples

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

Sums & aliquot sequence

As consecutive integers: 167 + 168 + 169 69 + 70 + … + 75 52 + 53 + … + 60 24 + 25 + … + 39

Aliquot sequence: 504 → 1,056 → 1,968 → 3,240 → 7,650 → 14,112 → 32,571 → 27,333 → 12,161 → 1 → 0 — terminates at zero

Continued fraction of √n

√504 = [22; (2, 4, 2, 44)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: five hundred four
Ordinal: 504th
Roman numeral: DIV
Binary: 111111000
Octal: 770
Hexadecimal: 0x1F8
Base64: Afg=
One's complement: 65,031 (16-bit)
Scientific notation: 5.04 × 10²
As a duration: 504 s = 8 minutes, 24 seconds

In other bases

ternary (3) 200200

quaternary (4) 13320

quinary (5) 4004

senary (6) 2200

septenary (7) 1320

nonary (9) 620

undecimal (11) 419

duodecimal (12) 360

tridecimal (13) 2ca

tetradecimal (14) 280

pentadecimal (15) 239

Palindromic in base 5

As an angle

504° = 1 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): φδʹ
Mayan (base 20): 𝋡·𝋥·𝋤
Chinese: 五百零四
Chinese (financial): 伍佰零肆

In other modern scripts

Eastern Arabic ٥٠٤ Devanagari ५०४ Bengali ৫০৪ Tamil ௫௦௪ Thai ๕๐๔ Tibetan ༥༠༤ Khmer ៥០៤ Lao ໕໐໔ Burmese ၅၀၄

Digit at this position in famous constants

π — Pi (π): Digit 504 = 3
e — Euler's number (e): Digit 504 = 3
φ — Golden ratio (φ): Digit 504 = 1
√2 — Pythagoras's (√2): Digit 504 = 8
ln 2 — Natural log of 2: Digit 504 = 3
γ — Euler-Mascheroni (γ): Digit 504 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 504, here are decompositions:

5 + 499 = 504
13 + 491 = 504
17 + 487 = 504
37 + 467 = 504
41 + 463 = 504
43 + 461 = 504
47 + 457 = 504
61 + 443 = 504

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter N With Grave

U+01F8

Uppercase letter (Lu)

UTF-8 encoding: C7 B8 (2 bytes).

Lookup U+01F8 on Compart ↗ Lookup on FileFormat.Info ↗

HTTP status code

HTTP 504 Gateway Timeout — Upstream server did not respond in time.

5xx class: Server Error.

Hex color

#0001F8

RGB(0, 1, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.248.

Address: 0.0.1.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.248

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 504

The number 504 is an active NANP area code (North American Numbering Plan).

Primary area: New Orleans
Region: Louisiana
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 504 ↗

Musical pitch

Heard as a frequency, 504 Hz is closest to:

Concert pitch (A4 = 440 Hz): B4 (493.9 Hz, +35¢)
Scientific pitch (C4 = 256 Hz): C5 (512 Hz, -27¢)
Baroque pitch (A4 = 415 Hz): C5 (493.5 Hz, +36¢)