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550,080

550,080 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.).

550,080 (five hundred fifty thousand eighty) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 5 × 191. Its proper divisors sum to 1,351,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x864C0.

Abundant Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
80,055
Square (n²)
302,588,006,400
Cube (n³)
166,447,610,560,512,000
Divisor count
84
σ(n) — sum of divisors
1,901,952
φ(n) — Euler's totient
145,920
Sum of prime factors
214

Primality

Prime factorization: 2 6 × 3 2 × 5 × 191

Nearest primes: 550,073 (−7) · 550,111 (+31)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 64 · 72 · 80 · 90 · 96 · 120 · 144 · 160 · 180 · 191 · 192 · 240 · 288 · 320 · 360 · 382 · 480 · 573 · 576 · 720 · 764 · 955 · 960 · 1146 · 1440 · 1528 · 1719 · 1910 · 2292 · 2865 · 2880 · 3056 · 3438 · 3820 · 4584 · 5730 · 6112 · 6876 · 7640 · 8595 · 9168 · 11460 · 12224 · 13752 · 15280 · 17190 · 18336 · 22920 · 27504 · 30560 · 34380 · 36672 · 45840 · 55008 · 61120 · 68760 · 91680 · 110016 · 137520 · 183360 · 275040 (half) · 550080
Aliquot sum (sum of proper divisors): 1,351,872
Factor pairs (a × b = 550,080)
1 × 550080
2 × 275040
3 × 183360
4 × 137520
5 × 110016
6 × 91680
8 × 68760
9 × 61120
10 × 55008
12 × 45840
15 × 36672
16 × 34380
18 × 30560
20 × 27504
24 × 22920
30 × 18336
32 × 17190
36 × 15280
40 × 13752
45 × 12224
48 × 11460
60 × 9168
64 × 8595
72 × 7640
80 × 6876
90 × 6112
96 × 5730
120 × 4584
144 × 3820
160 × 3438
180 × 3056
191 × 2880
192 × 2865
240 × 2292
288 × 1910
320 × 1719
360 × 1528
382 × 1440
480 × 1146
573 × 960
576 × 955
720 × 764
First multiples
550,080 · 1,100,160 (double) · 1,650,240 · 2,200,320 · 2,750,400 · 3,300,480 · 3,850,560 · 4,400,640 · 4,950,720 · 5,500,800

Sums & aliquot sequence

As consecutive integers: 183,359 + 183,360 + 183,361 110,014 + 110,015 + 110,016 + 110,017 + 110,018 61,116 + 61,117 + … + 61,124 36,665 + 36,666 + … + 36,679
Aliquot sequence: 550,080 1,351,872 2,524,676 3,086,860 4,763,444 4,763,500 7,134,932 7,880,236 9,093,364 9,093,420 23,024,484 43,491,420 110,002,284 221,616,276 377,700,204 673,297,044 1,164,720,396 — unresolved within range

Continued fraction of √n

√550,080 = [741; (1, 2, 15, 3, 1, 1, 3, 1, 1, 3, 1, 1, 4, 1, 3, 11, 1, 369, 1, 11, 3, 1, 4, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty thousand eighty
Ordinal
550080th
Binary
10000110010011000000
Octal
2062300
Hexadecimal
0x864C0
Base64
CGTA
One's complement
4,294,417,215 (32-bit)
Scientific notation
5.5008 × 10⁵
As a duration
550,080 s = 6 days, 8 hours, 48 minutes
In other bases
ternary (3) 1000221120100
quaternary (4) 2012103000
quinary (5) 120100310
senary (6) 15442400
septenary (7) 4450506
nonary (9) 1027510
undecimal (11) 346313
duodecimal (12) 226400
tridecimal (13) 1634bb
tetradecimal (14) 104676
pentadecimal (15) acec0

As an angle

550,080° = 1,528 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φνπʹ
Chinese
五十五萬零八十
Chinese (financial)
伍拾伍萬零捌拾
In other modern scripts
Eastern Arabic ٥٥٠٠٨٠ Devanagari ५५००८० Bengali ৫৫০০৮০ Tamil ௫௫௦௦௮௦ Thai ๕๕๐๐๘๐ Tibetan ༥༥༠༠༨༠ Khmer ៥៥០០៨០ Lao ໕໕໐໐໘໐ Burmese ၅၅၀၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 550080, here are decompositions:

  • 7 + 550073 = 550080
  • 17 + 550063 = 550080
  • 19 + 550061 = 550080
  • 31 + 550049 = 550080
  • 53 + 550027 = 550080
  • 71 + 550009 = 550080
  • 73 + 550007 = 550080
  • 101 + 549979 = 550080

Showing the first eight; more decompositions exist.

Hex color
#0864C0
RGB(8, 100, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.100.192.

Address
0.8.100.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.100.192

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 550,080 and was likely granted around 1895.

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

Position in π

The digit sequence 550080 first appears in π at position 296,593 of the decimal expansion (the 296,593ordinal-suffix:rd 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.

Related reading

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