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558,000

558,000 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.).

558,000 (five hundred fifty-eight thousand) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5³ × 31. Its proper divisors sum to 1,453,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x883B0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence 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
855
Recamán's sequence
a(195,996) = 558,000
Square (n²)
311,364,000,000
Cube (n³)
173,741,112,000,000,000
Divisor count
120
σ(n) — sum of divisors
2,011,776
φ(n) — Euler's totient
144,000
Sum of prime factors
60

Primality

Prime factorization: 2 4 × 3 2 × 5 3 × 31

Nearest primes: 557,987 (−13) · 558,007 (+7)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 30 · 31 · 36 · 40 · 45 · 48 · 50 · 60 · 62 · 72 · 75 · 80 · 90 · 93 · 100 · 120 · 124 · 125 · 144 · 150 · 155 · 180 · 186 · 200 · 225 · 240 · 248 · 250 · 279 · 300 · 310 · 360 · 372 · 375 · 400 · 450 · 465 · 496 · 500 · 558 · 600 · 620 · 720 · 744 · 750 · 775 · 900 · 930 · 1000 · 1116 · 1125 · 1200 · 1240 · 1395 · 1488 · 1500 · 1550 · 1800 · 1860 · 2000 · 2232 · 2250 · 2325 · 2480 · 2790 · 3000 · 3100 · 3600 · 3720 · 3875 · 4464 · 4500 · 4650 · 5580 · 6000 · 6200 · 6975 · 7440 · 7750 · 9000 · 9300 · 11160 · 11625 · 12400 · 13950 · 15500 · 18000 · 18600 · 22320 · 23250 · 27900 · 31000 · 34875 · 37200 · 46500 · 55800 · 62000 · 69750 · 93000 · 111600 · 139500 · 186000 · 279000 (half) · 558000
Aliquot sum (sum of proper divisors): 1,453,776
Factor pairs (a × b = 558,000)
1 × 558000
2 × 279000
3 × 186000
4 × 139500
5 × 111600
6 × 93000
8 × 69750
9 × 62000
10 × 55800
12 × 46500
15 × 37200
16 × 34875
18 × 31000
20 × 27900
24 × 23250
25 × 22320
30 × 18600
31 × 18000
36 × 15500
40 × 13950
45 × 12400
48 × 11625
50 × 11160
60 × 9300
62 × 9000
72 × 7750
75 × 7440
80 × 6975
90 × 6200
93 × 6000
100 × 5580
120 × 4650
124 × 4500
125 × 4464
144 × 3875
150 × 3720
155 × 3600
180 × 3100
186 × 3000
200 × 2790
225 × 2480
240 × 2325
248 × 2250
250 × 2232
279 × 2000
300 × 1860
310 × 1800
360 × 1550
372 × 1500
375 × 1488
400 × 1395
450 × 1240
465 × 1200
496 × 1125
500 × 1116
558 × 1000
600 × 930
620 × 900
720 × 775
744 × 750
First multiples
558,000 · 1,116,000 (double) · 1,674,000 · 2,232,000 · 2,790,000 · 3,348,000 · 3,906,000 · 4,464,000 · 5,022,000 · 5,580,000

Sums & aliquot sequence

As consecutive integers: 185,999 + 186,000 + 186,001 111,598 + 111,599 + 111,600 + 111,601 + 111,602 61,996 + 61,997 + … + 62,004 37,193 + 37,194 + … + 37,207
Aliquot sequence: 558,000 1,453,776 2,426,928 5,001,168 8,339,248 10,516,688 15,481,648 23,418,640 45,148,400 77,367,568 78,543,088 91,737,680 131,962,288 131,963,280 290,343,024 555,273,488 876,505,408 — unresolved within range

Continued fraction of √n

√558,000 = [746; (1, 164, 1, 1492)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-eight thousand
Ordinal
558000th
Binary
10001000001110110000
Octal
2101660
Hexadecimal
0x883B0
Base64
CIOw
One's complement
4,294,409,295 (32-bit)
Scientific notation
5.58 × 10⁵
As a duration
558,000 s = 6 days, 11 hours
In other bases
ternary (3) 1001100102200
quaternary (4) 2020032300
quinary (5) 120324000
senary (6) 15543200
septenary (7) 4512552
nonary (9) 1040380
undecimal (11) 351263
duodecimal (12) 22ab00
tridecimal (13) 166ca1
tetradecimal (14) 1074d2
pentadecimal (15) b0500

As an angle

558,000° = 1,550 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵φνη
Chinese
五十五萬八千
Chinese (financial)
伍拾伍萬捌仟
In other modern scripts
Eastern Arabic ٥٥٨٠٠٠ Devanagari ५५८००० Bengali ৫৫৮০০০ Tamil ௫௫௮௦௦௦ Thai ๕๕๘๐๐๐ Tibetan ༥༥༨༠༠༠ Khmer ៥៥៨០០០ Lao ໕໕໘໐໐໐ Burmese ၅၅၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 558000, here are decompositions:

  • 13 + 557987 = 558000
  • 19 + 557981 = 558000
  • 73 + 557927 = 558000
  • 97 + 557903 = 558000
  • 101 + 557899 = 558000
  • 109 + 557891 = 558000
  • 137 + 557863 = 558000
  • 139 + 557861 = 558000

Showing the first eight; more decompositions exist.

Hex color
#0883B0
RGB(8, 131, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.131.176.

Address
0.8.131.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.131.176

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 558,000 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 558000 first appears in π at position 230,730 of the decimal expansion (the 230,730ordinal-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°.