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550,800

550,800 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.).

550,800 (five hundred fifty thousand eight hundred) is an even 6-digit number. It is a composite number with 150 divisors, and factors as 2⁴ × 3⁴ × 5² × 17. Its proper divisors sum to 1,542,258, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86790.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable 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
8,055
Square (n²)
303,380,640,000
Cube (n³)
167,102,056,512,000,000
Divisor count
150
σ(n) — sum of divisors
2,093,058
φ(n) — Euler's totient
138,240
Sum of prime factors
47

Primality

Prime factorization: 2 4 × 3 4 × 5 2 × 17

Nearest primes: 550,789 (−11) · 550,801 (+1)

Divisors & multiples

All divisors (150)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 17 · 18 · 20 · 24 · 25 · 27 · 30 · 34 · 36 · 40 · 45 · 48 · 50 · 51 · 54 · 60 · 68 · 72 · 75 · 80 · 81 · 85 · 90 · 100 · 102 · 108 · 120 · 135 · 136 · 144 · 150 · 153 · 162 · 170 · 180 · 200 · 204 · 216 · 225 · 240 · 255 · 270 · 272 · 300 · 306 · 324 · 340 · 360 · 400 · 405 · 408 · 425 · 432 · 450 · 459 · 510 · 540 · 600 · 612 · 648 · 675 · 680 · 720 · 765 · 810 · 816 · 850 · 900 · 918 · 1020 · 1080 · 1200 · 1224 · 1275 · 1296 · 1350 · 1360 · 1377 · 1530 · 1620 · 1700 · 1800 · 1836 · 2025 · 2040 · 2160 · 2295 · 2448 · 2550 · 2700 · 2754 · 3060 · 3240 · 3400 · 3600 · 3672 · 3825 · 4050 · 4080 · 4590 · 5100 · 5400 · 5508 · 6120 · 6480 · 6800 · 6885 · 7344 · 7650 · 8100 · 9180 · 10200 · 10800 · 11016 · 11475 · 12240 · 13770 · 15300 · 16200 · 18360 · 20400 · 22032 · 22950 · 27540 · 30600 · 32400 · 34425 · 36720 · 45900 · 55080 · 61200 · 68850 · 91800 · 110160 · 137700 · 183600 · 275400 (half) · 550800
Aliquot sum (sum of proper divisors): 1,542,258
Factor pairs (a × b = 550,800)
1 × 550800
2 × 275400
3 × 183600
4 × 137700
5 × 110160
6 × 91800
8 × 68850
9 × 61200
10 × 55080
12 × 45900
15 × 36720
16 × 34425
17 × 32400
18 × 30600
20 × 27540
24 × 22950
25 × 22032
27 × 20400
30 × 18360
34 × 16200
36 × 15300
40 × 13770
45 × 12240
48 × 11475
50 × 11016
51 × 10800
54 × 10200
60 × 9180
68 × 8100
72 × 7650
75 × 7344
80 × 6885
81 × 6800
85 × 6480
90 × 6120
100 × 5508
102 × 5400
108 × 5100
120 × 4590
135 × 4080
136 × 4050
144 × 3825
150 × 3672
153 × 3600
162 × 3400
170 × 3240
180 × 3060
200 × 2754
204 × 2700
216 × 2550
225 × 2448
240 × 2295
255 × 2160
270 × 2040
272 × 2025
300 × 1836
306 × 1800
324 × 1700
340 × 1620
360 × 1530
400 × 1377
405 × 1360
408 × 1350
425 × 1296
432 × 1275
450 × 1224
459 × 1200
510 × 1080
540 × 1020
600 × 918
612 × 900
648 × 850
675 × 816
680 × 810
720 × 765
First multiples
550,800 · 1,101,600 (double) · 1,652,400 · 2,203,200 · 2,754,000 · 3,304,800 · 3,855,600 · 4,406,400 · 4,957,200 · 5,508,000

Sums & aliquot sequence

As a sum of two squares: 180² + 720² = 288² + 684² = 468² + 576²
As consecutive integers: 183,599 + 183,600 + 183,601 110,158 + 110,159 + 110,160 + 110,161 + 110,162 61,196 + 61,197 + … + 61,204 36,713 + 36,714 + … + 36,727
Aliquot sequence: 550,800 1,542,258 1,872,270 3,081,042 3,594,588 4,912,932 7,225,404 10,773,444 18,269,052 24,556,164 32,832,636 45,646,548 60,862,092 89,585,268 119,447,052 164,889,588 230,710,092 — unresolved within range

Continued fraction of √n

√550,800 = [742; (6, 3, 2, 6, 6, 18, 6, 6, 2, 3, 6, 1484)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty thousand eight hundred
Ordinal
550800th
Binary
10000110011110010000
Octal
2063620
Hexadecimal
0x86790
Base64
CGeQ
One's complement
4,294,416,495 (32-bit)
Scientific notation
5.508 × 10⁵
As a duration
550,800 s = 6 days, 9 hours
In other bases
ternary (3) 1000222120000
quaternary (4) 2012132100
quinary (5) 120111200
senary (6) 15450000
septenary (7) 4452555
nonary (9) 1028500
undecimal (11) 346908
duodecimal (12) 226900
tridecimal (13) 163923
tetradecimal (14) 104a2c
pentadecimal (15) ad300

As an angle

550,800° = 1,530 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵φνωʹ
Chinese
五十五萬零八百
Chinese (financial)
伍拾伍萬零捌佰
In other modern scripts
Eastern Arabic ٥٥٠٨٠٠ Devanagari ५५०८०० Bengali ৫৫০৮০০ Tamil ௫௫௦௮௦௦ Thai ๕๕๐๘๐๐ Tibetan ༥༥༠༨༠༠ Khmer ៥៥០៨០០ Lao ໕໕໐໘໐໐ Burmese ၅၅၀၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 550800, here are decompositions:

  • 11 + 550789 = 550800
  • 37 + 550763 = 550800
  • 43 + 550757 = 550800
  • 67 + 550733 = 550800
  • 79 + 550721 = 550800
  • 83 + 550717 = 550800
  • 97 + 550703 = 550800
  • 109 + 550691 = 550800

Showing the first eight; more decompositions exist.

Hex color
#086790
RGB(8, 103, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.103.144.

Address
0.8.103.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.103.144

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 550,800 and was likely granted around 1895.

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°.