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555,984

555,984 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.).

555,984 (five hundred fifty-five thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3⁵ × 11 × 13. Its proper divisors sum to 1,339,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x87BD0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
36,000
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
489,555
Square (n²)
309,118,208,256
Cube (n³)
171,864,777,899,003,904
Divisor count
120
σ(n) — sum of divisors
1,895,712
φ(n) — Euler's totient
155,520
Sum of prime factors
47

Primality

Prime factorization: 2 4 × 3 5 × 11 × 13

Nearest primes: 555,967 (−17) · 556,007 (+23)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 13 · 16 · 18 · 22 · 24 · 26 · 27 · 33 · 36 · 39 · 44 · 48 · 52 · 54 · 66 · 72 · 78 · 81 · 88 · 99 · 104 · 108 · 117 · 132 · 143 · 144 · 156 · 162 · 176 · 198 · 208 · 216 · 234 · 243 · 264 · 286 · 297 · 312 · 324 · 351 · 396 · 429 · 432 · 468 · 486 · 528 · 572 · 594 · 624 · 648 · 702 · 792 · 858 · 891 · 936 · 972 · 1053 · 1144 · 1188 · 1287 · 1296 · 1404 · 1584 · 1716 · 1782 · 1872 · 1944 · 2106 · 2288 · 2376 · 2574 · 2673 · 2808 · 3159 · 3432 · 3564 · 3861 · 3888 · 4212 · 4752 · 5148 · 5346 · 5616 · 6318 · 6864 · 7128 · 7722 · 8424 · 10296 · 10692 · 11583 · 12636 · 14256 · 15444 · 16848 · 20592 · 21384 · 23166 · 25272 · 30888 · 34749 · 42768 · 46332 · 50544 · 61776 · 69498 · 92664 · 138996 · 185328 · 277992 (half) · 555984
Aliquot sum (sum of proper divisors): 1,339,728
Factor pairs (a × b = 555,984)
1 × 555984
2 × 277992
3 × 185328
4 × 138996
6 × 92664
8 × 69498
9 × 61776
11 × 50544
12 × 46332
13 × 42768
16 × 34749
18 × 30888
22 × 25272
24 × 23166
26 × 21384
27 × 20592
33 × 16848
36 × 15444
39 × 14256
44 × 12636
48 × 11583
52 × 10692
54 × 10296
66 × 8424
72 × 7722
78 × 7128
81 × 6864
88 × 6318
99 × 5616
104 × 5346
108 × 5148
117 × 4752
132 × 4212
143 × 3888
144 × 3861
156 × 3564
162 × 3432
176 × 3159
198 × 2808
208 × 2673
216 × 2574
234 × 2376
243 × 2288
264 × 2106
286 × 1944
297 × 1872
312 × 1782
324 × 1716
351 × 1584
396 × 1404
429 × 1296
432 × 1287
468 × 1188
486 × 1144
528 × 1053
572 × 972
594 × 936
624 × 891
648 × 858
702 × 792
First multiples
555,984 · 1,111,968 (double) · 1,667,952 · 2,223,936 · 2,779,920 · 3,335,904 · 3,891,888 · 4,447,872 · 5,003,856 · 5,559,840

Sums & aliquot sequence

As consecutive integers: 185,327 + 185,328 + 185,329 61,772 + 61,773 + … + 61,780 50,539 + 50,540 + … + 50,549 42,762 + 42,763 + … + 42,774
Aliquot sequence: 555,984 1,339,728 2,618,352 6,309,648 11,776,992 19,616,160 42,176,256 70,076,136 118,591,224 178,175,496 279,675,384 429,560,616 659,056,344 1,083,026,856 1,624,540,344 3,124,967,496 6,191,717,304 — unresolved within range

Continued fraction of √n

√555,984 = [745; (1, 1, 1, 4, 10, 4, 1, 1, 1, 1490)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-five thousand nine hundred eighty-four
Ordinal
555984th
Binary
10000111101111010000
Octal
2075720
Hexadecimal
0x87BD0
Base64
CHvQ
One's complement
4,294,411,311 (32-bit)
Scientific notation
5.55984 × 10⁵
As a duration
555,984 s = 6 days, 10 hours, 26 minutes, 24 seconds
In other bases
ternary (3) 1001020200000
quaternary (4) 2013233100
quinary (5) 120242414
senary (6) 15530000
septenary (7) 4503642
nonary (9) 1036600
undecimal (11) 34a7a0
duodecimal (12) 229900
tridecimal (13) 1660b0
tetradecimal (14) 106892
pentadecimal (15) aeb09

As an angle

555,984° = 1,544 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φνεϡπδʹ
Chinese
五十五萬五千九百八十四
Chinese (financial)
伍拾伍萬伍仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ٥٥٥٩٨٤ Devanagari ५५५९८४ Bengali ৫৫৫৯৮৪ Tamil ௫௫௫௯௮௪ Thai ๕๕๕๙๘๔ Tibetan ༥༥༥༩༨༤ Khmer ៥៥៥៩៨៤ Lao ໕໕໕໙໘໔ Burmese ၅၅၅၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 555984, here are decompositions:

  • 17 + 555967 = 555984
  • 31 + 555953 = 555984
  • 43 + 555941 = 555984
  • 53 + 555931 = 555984
  • 113 + 555871 = 555984
  • 127 + 555857 = 555984
  • 131 + 555853 = 555984
  • 157 + 555827 = 555984

Showing the first eight; more decompositions exist.

Hex color
#087BD0
RGB(8, 123, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.123.208.

Address
0.8.123.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.123.208

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 555,984 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°.