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552,552

552,552 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.).

552,552 (five hundred fifty-two thousand five hundred fifty-two) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 7 × 11 × 13 × 23. Its proper divisors sum to 1,382,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86E68.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
2,500
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
255,255
Square (n²)
305,313,712,704
Cube (n³)
168,701,702,582,020,608
Divisor count
128
σ(n) — sum of divisors
1,935,360
φ(n) — Euler's totient
126,720
Sum of prime factors
63

Primality

Prime factorization: 2 3 × 3 × 7 × 11 × 13 × 23

Nearest primes: 552,527 (−25) · 552,553 (+1)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 13 · 14 · 21 · 22 · 23 · 24 · 26 · 28 · 33 · 39 · 42 · 44 · 46 · 52 · 56 · 66 · 69 · 77 · 78 · 84 · 88 · 91 · 92 · 104 · 132 · 138 · 143 · 154 · 156 · 161 · 168 · 182 · 184 · 231 · 253 · 264 · 273 · 276 · 286 · 299 · 308 · 312 · 322 · 364 · 429 · 462 · 483 · 506 · 546 · 552 · 572 · 598 · 616 · 644 · 728 · 759 · 858 · 897 · 924 · 966 · 1001 · 1012 · 1092 · 1144 · 1196 · 1288 · 1518 · 1716 · 1771 · 1794 · 1848 · 1932 · 2002 · 2024 · 2093 · 2184 · 2392 · 3003 · 3036 · 3289 · 3432 · 3542 · 3588 · 3864 · 4004 · 4186 · 5313 · 6006 · 6072 · 6279 · 6578 · 7084 · 7176 · 8008 · 8372 · 9867 · 10626 · 12012 · 12558 · 13156 · 14168 · 16744 · 19734 · 21252 · 23023 · 24024 · 25116 · 26312 · 39468 · 42504 · 46046 · 50232 · 69069 · 78936 · 92092 · 138138 · 184184 · 276276 (half) · 552552
Aliquot sum (sum of proper divisors): 1,382,808
Factor pairs (a × b = 552,552)
1 × 552552
2 × 276276
3 × 184184
4 × 138138
6 × 92092
7 × 78936
8 × 69069
11 × 50232
12 × 46046
13 × 42504
14 × 39468
21 × 26312
22 × 25116
23 × 24024
24 × 23023
26 × 21252
28 × 19734
33 × 16744
39 × 14168
42 × 13156
44 × 12558
46 × 12012
52 × 10626
56 × 9867
66 × 8372
69 × 8008
77 × 7176
78 × 7084
84 × 6578
88 × 6279
91 × 6072
92 × 6006
104 × 5313
132 × 4186
138 × 4004
143 × 3864
154 × 3588
156 × 3542
161 × 3432
168 × 3289
182 × 3036
184 × 3003
231 × 2392
253 × 2184
264 × 2093
273 × 2024
276 × 2002
286 × 1932
299 × 1848
308 × 1794
312 × 1771
322 × 1716
364 × 1518
429 × 1288
462 × 1196
483 × 1144
506 × 1092
546 × 1012
552 × 1001
572 × 966
598 × 924
616 × 897
644 × 858
728 × 759
First multiples
552,552 · 1,105,104 (double) · 1,657,656 · 2,210,208 · 2,762,760 · 3,315,312 · 3,867,864 · 4,420,416 · 4,972,968 · 5,525,520

Sums & aliquot sequence

As consecutive integers: 184,183 + 184,184 + 184,185 78,933 + 78,934 + … + 78,939 50,227 + 50,228 + … + 50,237 42,498 + 42,499 + … + 42,510
Aliquot sequence: 552,552 1,382,808 2,568,552 4,770,648 8,258,472 15,085,368 25,771,032 53,998,008 80,997,072 144,342,672 228,542,688 508,103,712 973,867,968 1,903,769,152 1,877,183,408 1,772,811,400 2,369,780,600 — unresolved within range

Continued fraction of √n

√552,552 = [743; (2, 1, 21, 5, 10, 5, 21, 1, 2, 1486)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-two thousand five hundred fifty-two
Ordinal
552552nd
Binary
10000110111001101000
Octal
2067150
Hexadecimal
0x86E68
Base64
CG5o
One's complement
4,294,414,743 (32-bit)
Scientific notation
5.52552 × 10⁵
As a duration
552,552 s = 6 days, 9 hours, 29 minutes, 12 seconds
In other bases
ternary (3) 1001001221220
quaternary (4) 2012321220
quinary (5) 120140202
senary (6) 15502040
septenary (7) 4460640
nonary (9) 1031856
undecimal (11) 348160
duodecimal (12) 227920
tridecimal (13) 164670
tetradecimal (14) 105520
pentadecimal (15) adabc
Palindromic in base 16

As an angle

552,552° = 1,534 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φνβφνβʹ
Chinese
五十五萬二千五百五十二
Chinese (financial)
伍拾伍萬貳仟伍佰伍拾貳
In other modern scripts
Eastern Arabic ٥٥٢٥٥٢ Devanagari ५५२५५२ Bengali ৫৫২৫৫২ Tamil ௫௫௨௫௫௨ Thai ๕๕๒๕๕๒ Tibetan ༥༥༢༥༥༢ Khmer ៥៥២៥៥២ Lao ໕໕໒໕໕໒ Burmese ၅၅၂၅၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 552552, here are decompositions:

  • 29 + 552523 = 552552
  • 41 + 552511 = 552552
  • 59 + 552493 = 552552
  • 61 + 552491 = 552552
  • 71 + 552481 = 552552
  • 79 + 552473 = 552552
  • 83 + 552469 = 552552
  • 149 + 552403 = 552552

Showing the first eight; more decompositions exist.

Hex color
#086E68
RGB(8, 110, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.110.104.

Address
0.8.110.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.110.104

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 552,552 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°.