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550,200

550,200 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.).

550,200 (five hundred fifty thousand two hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 7 × 131. Its proper divisors sum to 1,413,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86538.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
2,055
Square (n²)
302,720,040,000
Cube (n³)
166,556,566,008,000,000
Divisor count
96
σ(n) — sum of divisors
1,964,160
φ(n) — Euler's totient
124,800
Sum of prime factors
157

Primality

Prime factorization: 2 3 × 3 × 5 2 × 7 × 131

Nearest primes: 550,189 (−11) · 550,211 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 50 · 56 · 60 · 70 · 75 · 84 · 100 · 105 · 120 · 131 · 140 · 150 · 168 · 175 · 200 · 210 · 262 · 280 · 300 · 350 · 393 · 420 · 524 · 525 · 600 · 655 · 700 · 786 · 840 · 917 · 1048 · 1050 · 1310 · 1400 · 1572 · 1834 · 1965 · 2100 · 2620 · 2751 · 3144 · 3275 · 3668 · 3930 · 4200 · 4585 · 5240 · 5502 · 6550 · 7336 · 7860 · 9170 · 9825 · 11004 · 13100 · 13755 · 15720 · 18340 · 19650 · 22008 · 22925 · 26200 · 27510 · 36680 · 39300 · 45850 · 55020 · 68775 · 78600 · 91700 · 110040 · 137550 · 183400 · 275100 (half) · 550200
Aliquot sum (sum of proper divisors): 1,413,960
Factor pairs (a × b = 550,200)
1 × 550200
2 × 275100
3 × 183400
4 × 137550
5 × 110040
6 × 91700
7 × 78600
8 × 68775
10 × 55020
12 × 45850
14 × 39300
15 × 36680
20 × 27510
21 × 26200
24 × 22925
25 × 22008
28 × 19650
30 × 18340
35 × 15720
40 × 13755
42 × 13100
50 × 11004
56 × 9825
60 × 9170
70 × 7860
75 × 7336
84 × 6550
100 × 5502
105 × 5240
120 × 4585
131 × 4200
140 × 3930
150 × 3668
168 × 3275
175 × 3144
200 × 2751
210 × 2620
262 × 2100
280 × 1965
300 × 1834
350 × 1572
393 × 1400
420 × 1310
524 × 1050
525 × 1048
600 × 917
655 × 840
700 × 786
First multiples
550,200 · 1,100,400 (double) · 1,650,600 · 2,200,800 · 2,751,000 · 3,301,200 · 3,851,400 · 4,401,600 · 4,951,800 · 5,502,000

Sums & aliquot sequence

As consecutive integers: 183,399 + 183,400 + 183,401 110,038 + 110,039 + 110,040 + 110,041 + 110,042 78,597 + 78,598 + … + 78,603 36,673 + 36,674 + … + 36,687
Aliquot sequence: 550,200 1,413,960 2,828,280 8,088,360 19,646,040 40,423,560 80,847,480 199,203,720 399,358,200 924,485,640 2,075,927,160 4,151,854,680 8,669,801,640 17,339,603,640 — keeps growing

Continued fraction of √n

√550,200 = [741; (1, 3, 13, 8, 1, 2, 2, 1, 3, 59, 14, 4, 26, 4, 14, 59, 3, 1, 2, 2, 1, 8, 13, 3, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty thousand two hundred
Ordinal
550200th
Binary
10000110010100111000
Octal
2062470
Hexadecimal
0x86538
Base64
CGU4
One's complement
4,294,417,095 (32-bit)
Scientific notation
5.502 × 10⁵
As a duration
550,200 s = 6 days, 8 hours, 50 minutes
In other bases
ternary (3) 1000221201210
quaternary (4) 2012110320
quinary (5) 120101300
senary (6) 15443120
septenary (7) 4451040
nonary (9) 1027653
undecimal (11) 346412
duodecimal (12) 2264a0
tridecimal (13) 163581
tetradecimal (14) 104720
pentadecimal (15) ad050

As an angle

550,200° = 1,528 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓍢𓍢
Greek (Milesian)
͵φνσʹ
Chinese
五十五萬零二百
Chinese (financial)
伍拾伍萬零貳佰
In other modern scripts
Eastern Arabic ٥٥٠٢٠٠ Devanagari ५५०२०० Bengali ৫৫০২০০ Tamil ௫௫௦௨௦௦ Thai ๕๕๐๒๐๐ Tibetan ༥༥༠༢༠༠ Khmer ៥៥០២០០ Lao ໕໕໐໒໐໐ Burmese ၅၅၀၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 550200, here are decompositions:

  • 11 + 550189 = 550200
  • 19 + 550181 = 550200
  • 23 + 550177 = 550200
  • 31 + 550169 = 550200
  • 37 + 550163 = 550200
  • 61 + 550139 = 550200
  • 71 + 550129 = 550200
  • 73 + 550127 = 550200

Showing the first eight; more decompositions exist.

Hex color
#086538
RGB(8, 101, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.101.56.

Address
0.8.101.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.101.56

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 550,200 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 550200 first appears in π at position 732,659 of the decimal expansion (the 732,659ordinal-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.

Related reading

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