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516,004

516,004 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.).

516,004 (five hundred sixteen thousand four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 129,001. Written other ways, in hexadecimal, 0x7DFA4.

Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
400,615
Square (n²)
266,260,128,016
Cube (n³)
137,391,291,096,768,064
Divisor count
6
σ(n) — sum of divisors
903,014
φ(n) — Euler's totient
258,000
Sum of prime factors
129,005

Primality

Prime factorization: 2 2 × 129001

Nearest primes: 515,993 (−11) · 516,017 (+13)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 129001 · 258002 (half) · 516004
Aliquot sum (sum of proper divisors): 387,010
Factor pairs (a × b = 516,004)
1 × 516004
2 × 258002
4 × 129001
First multiples
516,004 · 1,032,008 (double) · 1,548,012 · 2,064,016 · 2,580,020 · 3,096,024 · 3,612,028 · 4,128,032 · 4,644,036 · 5,160,040

Sums & aliquot sequence

As a sum of two squares: 310² + 648²
As consecutive integers: 64,497 + 64,498 + … + 64,504
Aliquot sequence: 516,004 387,010 370,610 296,506 211,814 105,910 127,370 107,638 53,822 31,714 16,634 8,320 13,100 15,544 15,056 14,146 9,038 — unresolved within range

Continued fraction of √n

√516,004 = [718; (2, 1, 129, 1, 15, 1, 1, 11, 2, 1, 3, 1, 4, 2, 1, 3, 18, 1, 7, 1, 1, 1, 8, 1, …)]

Representations

In words
five hundred sixteen thousand four
Ordinal
516004th
Binary
1111101111110100100
Octal
1757644
Hexadecimal
0x7DFA4
Base64
B9+k
One's complement
4,294,451,291 (32-bit)
Scientific notation
5.16004 × 10⁵
As a duration
516,004 s = 5 days, 23 hours, 20 minutes, 4 seconds
In other bases
ternary (3) 222012211021
quaternary (4) 1331332210
quinary (5) 113003004
senary (6) 15020524
septenary (7) 4246246
nonary (9) 865737
undecimal (11) 322755
duodecimal (12) 20a744
tridecimal (13) 150b38
tetradecimal (14) d6096
pentadecimal (15) a2d54

As an angle

516,004° = 1,433 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιϛδʹ
Chinese
五十一萬六千零四
Chinese (financial)
伍拾壹萬陸仟零肆
In other modern scripts
Eastern Arabic ٥١٦٠٠٤ Devanagari ५१६००४ Bengali ৫১৬০০৪ Tamil ௫௧௬௦௦௪ Thai ๕๑๖๐๐๔ Tibetan ༥༡༦༠༠༤ Khmer ៥១៦០០៤ Lao ໕໑໖໐໐໔ Burmese ၅၁၆၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 516004, here are decompositions:

  • 11 + 515993 = 516004
  • 53 + 515951 = 516004
  • 131 + 515873 = 516004
  • 191 + 515813 = 516004
  • 227 + 515777 = 516004
  • 233 + 515771 = 516004
  • 263 + 515741 = 516004
  • 311 + 515693 = 516004

Showing the first eight; more decompositions exist.

Hex color
#07DFA4
RGB(7, 223, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.223.164.

Address
0.7.223.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.223.164

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 516,004 and was likely granted around 1894.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.