Live analysis

513,004

513,004 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.).

513,004 (five hundred thirteen thousand four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 277 × 463. Written other ways, in hexadecimal, 0x7D3EC.

Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

512,992 512,993 512,994 512,995 512,996 512,997 512,998 512,999 513,000 513,001 513,002 513,003 513,004 513,005 513,006 513,007 513,008 513,009 513,010 513,011 513,012 513,013 513,014 513,015 513,016

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Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 400,315
Square (n²): 263,173,104,016
Cube (n³): 135,008,855,052,624,064
Divisor count: 12
σ(n) — sum of divisors: 902,944
φ(n) — Euler's totient: 255,024
Sum of prime factors: 744

Primality

Prime factorization: 2 ² × 277 × 463

Nearest primes: 513,001 (−3) · 513,013 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 277 · 463 · 554 · 926 · 1108 · 1852 · 128251 · 256502 (half) · 513004

Aliquot sum (sum of proper divisors): 389,940

Factor pairs (a × b = 513,004)

1 × 513004

2 × 256502

4 × 128251

277 × 1852

463 × 1108

554 × 926

First multiples

513,004 · 1,026,008 (double) · 1,539,012 · 2,052,016 · 2,565,020 · 3,078,024 · 3,591,028 · 4,104,032 · 4,617,036 · 5,130,040

Sums & aliquot sequence

As consecutive integers: 64,122 + 64,123 + … + 64,129 1,714 + 1,715 + … + 1,990 877 + 878 + … + 1,339

Aliquot sequence: 513,004 → 389,940 → 729,612 → 1,257,828 → 2,194,908 → 2,951,604 → 4,570,092 → 7,712,724 → 11,439,276 → 15,252,396 → 20,336,556 → 29,907,204 → 42,487,356 → 57,008,068 → 50,899,732 → 45,305,300 → 53,007,418 — unresolved within range

Continued fraction of √n

√513,004 = [716; (4, 8, 1, 1, 1, 5, 8, 4, 1, 158, 2, 1, 3, 2, 4, 2, 1, 1, 74, 1, 4, 17, 2, 15, …)]

Representations

In words: five hundred thirteen thousand four
Ordinal: 513004th
Binary: 1111101001111101100
Octal: 1751754
Hexadecimal: 0x7D3EC
Base64: B9Ps
One's complement: 4,294,454,291 (32-bit)
Scientific notation: 5.13004 × 10⁵
As a duration: 513,004 s = 5 days, 22 hours, 30 minutes, 4 seconds

In other bases

ternary (3) 222001201011

quaternary (4) 1331033230

quinary (5) 112404004

senary (6) 14555004

septenary (7) 4234432

nonary (9) 861634

undecimal (11) 320478

duodecimal (12) 208a64

tridecimal (13) 14c66b

tetradecimal (14) d4d52

pentadecimal (15) a2004

As an angle

513,004° = 1,425 × 360° + 4°

4° ≈ 0.07 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵φιγδʹ
Chinese: 五十一萬三千零四
Chinese (financial): 伍拾壹萬參仟零肆

In other modern scripts

Eastern Arabic ٥١٣٠٠٤ Devanagari ५१३००४ Bengali ৫১৩০০৪ Tamil ௫௧௩௦௦௪ Thai ๕๑๓๐๐๔ Tibetan ༥༡༣༠༠༤ Khmer ៥១៣០០៤ Lao ໕໑໓໐໐໔ Burmese ၅၁၃၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513004, here are decompositions:

3 + 513001 = 513004
5 + 512999 = 513004
83 + 512921 = 513004
101 + 512903 = 513004
113 + 512891 = 513004
257 + 512747 = 513004
263 + 512741 = 513004
293 + 512711 = 513004

Showing the first eight; more decompositions exist.

Hex color

#07D3EC

RGB(7, 211, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.211.236.

Address: 0.7.211.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.211.236

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 513,004 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 US513,004 on Google Patents ↗ Look up on USPTO ↗