Live analysis

508,404

508,404 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.).

508,404 (five hundred eight thousand four hundred four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 3,259. Its proper divisors sum to 769,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C1F4.

Abundant Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

508,392 508,393 508,394 508,395 508,396 508,397 508,398 508,399 508,400 508,401 508,402 508,403 508,404 508,405 508,406 508,407 508,408 508,409 508,410 508,411 508,412 508,413 508,414 508,415 508,416

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Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 404,805
Square (n²): 258,474,627,216
Cube (n³): 131,409,534,375,123,264
Divisor count: 24
σ(n) — sum of divisors: 1,277,920
φ(n) — Euler's totient: 156,384
Sum of prime factors: 3,279

Primality

Prime factorization: 2 ² × 3 × 13 × 3259

Nearest primes: 508,393 (−11) · 508,433 (+29)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 3259 · 6518 · 9777 · 13036 · 19554 · 39108 · 42367 · 84734 · 127101 · 169468 · 254202 (half) · 508404

Aliquot sum (sum of proper divisors): 769,516

Factor pairs (a × b = 508,404)

1 × 508404

2 × 254202

3 × 169468

4 × 127101

6 × 84734

12 × 42367

13 × 39108

26 × 19554

39 × 13036

52 × 9777

78 × 6518

156 × 3259

First multiples

508,404 · 1,016,808 (double) · 1,525,212 · 2,033,616 · 2,542,020 · 3,050,424 · 3,558,828 · 4,067,232 · 4,575,636 · 5,084,040

Sums & aliquot sequence

As consecutive integers: 169,467 + 169,468 + 169,469 63,547 + 63,548 + … + 63,554 39,102 + 39,103 + … + 39,114 21,172 + 21,173 + … + 21,195

Aliquot sequence: 508,404 → 769,516 → 699,644 → 636,124 → 488,076 → 666,084 → 922,524 → 1,268,196 → 1,690,956 → 3,004,812 → 5,381,748 → 8,571,212 → 7,582,324 → 5,686,750 → 5,700,626 → 2,850,316 → 2,850,372 — unresolved within range

Continued fraction of √n

√508,404 = [713; (40, 1, 2, 1, 8, 1, 20, 13, 1, 1, 6, 1, 18, 6, 1, 4, 13, 8, 4, 1, 1, 1, 4, 1, …)]

Representations

In words: five hundred eight thousand four hundred four
Ordinal: 508404th
Binary: 1111100000111110100
Octal: 1740764
Hexadecimal: 0x7C1F4
Base64: B8H0
One's complement: 4,294,458,891 (32-bit)
Scientific notation: 5.08404 × 10⁵
As a duration: 508,404 s = 5 days, 21 hours, 13 minutes, 24 seconds

In other bases

ternary (3) 221211101210

quaternary (4) 1330013310

quinary (5) 112232104

senary (6) 14521420

septenary (7) 4215141

nonary (9) 854353

undecimal (11) 317a76

duodecimal (12) 206270

tridecimal (13) 14a540

tetradecimal (14) d33c8

pentadecimal (15) a0989

As an angle

508,404° = 1,412 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵φηυδʹ
Chinese: 五十萬八千四百零四
Chinese (financial): 伍拾萬捌仟肆佰零肆

In other modern scripts

Eastern Arabic ٥٠٨٤٠٤ Devanagari ५०८४०४ Bengali ৫০৮৪০৪ Tamil ௫௦௮௪௦௪ Thai ๕๐๘๔๐๔ Tibetan ༥༠༨༤༠༤ Khmer ៥០៨៤០៤ Lao ໕໐໘໔໐໔ Burmese ၅၀၈၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 508404, here are decompositions:

11 + 508393 = 508404
31 + 508373 = 508404
37 + 508367 = 508404
41 + 508363 = 508404
73 + 508331 = 508404
103 + 508301 = 508404
107 + 508297 = 508404
131 + 508273 = 508404

Showing the first eight; more decompositions exist.

Hex color

#07C1F4

RGB(7, 193, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.193.244.

Address: 0.7.193.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.193.244

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 508,404 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 US508,404 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 508404 first appears in π at position 263,337 of the decimal expansion (the 263,337ordinal-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 508404 on Pi Search ↗