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552,840

552,840 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.).

552,840 (five hundred fifty-two thousand eight hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 17 × 271. Its proper divisors sum to 1,209,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86F88.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
48,255
Square (n²)
305,632,065,600
Cube (n³)
168,965,631,146,304,000
Divisor count
64
σ(n) — sum of divisors
1,762,560
φ(n) — Euler's totient
138,240
Sum of prime factors
302

Primality

Prime factorization: 2 3 × 3 × 5 × 17 × 271

Nearest primes: 552,833 (−7) · 552,841 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 30 · 34 · 40 · 51 · 60 · 68 · 85 · 102 · 120 · 136 · 170 · 204 · 255 · 271 · 340 · 408 · 510 · 542 · 680 · 813 · 1020 · 1084 · 1355 · 1626 · 2040 · 2168 · 2710 · 3252 · 4065 · 4607 · 5420 · 6504 · 8130 · 9214 · 10840 · 13821 · 16260 · 18428 · 23035 · 27642 · 32520 · 36856 · 46070 · 55284 · 69105 · 92140 · 110568 · 138210 · 184280 · 276420 (half) · 552840
Aliquot sum (sum of proper divisors): 1,209,720
Factor pairs (a × b = 552,840)
1 × 552840
2 × 276420
3 × 184280
4 × 138210
5 × 110568
6 × 92140
8 × 69105
10 × 55284
12 × 46070
15 × 36856
17 × 32520
20 × 27642
24 × 23035
30 × 18428
34 × 16260
40 × 13821
51 × 10840
60 × 9214
68 × 8130
85 × 6504
102 × 5420
120 × 4607
136 × 4065
170 × 3252
204 × 2710
255 × 2168
271 × 2040
340 × 1626
408 × 1355
510 × 1084
542 × 1020
680 × 813
First multiples
552,840 · 1,105,680 (double) · 1,658,520 · 2,211,360 · 2,764,200 · 3,317,040 · 3,869,880 · 4,422,720 · 4,975,560 · 5,528,400

Sums & aliquot sequence

As consecutive integers: 184,279 + 184,280 + 184,281 110,566 + 110,567 + 110,568 + 110,569 + 110,570 36,849 + 36,850 + … + 36,863 34,545 + 34,546 + … + 34,560
Aliquot sequence: 552,840 1,209,720 2,639,400 5,797,560 11,595,480 25,871,880 53,855,160 107,710,680 295,189,800 619,900,440 1,282,800,360 2,686,588,440 5,373,177,240 11,089,340,520 — keeps growing

Continued fraction of √n

√552,840 = [743; (1, 1, 7, 3, 1, 1, 98, 1, 1, 3, 7, 1, 1, 1486)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-two thousand eight hundred forty
Ordinal
552840th
Binary
10000110111110001000
Octal
2067610
Hexadecimal
0x86F88
Base64
CG+I
One's complement
4,294,414,455 (32-bit)
Scientific notation
5.5284 × 10⁵
As a duration
552,840 s = 6 days, 9 hours, 34 minutes
In other bases
ternary (3) 1001002100120
quaternary (4) 2012332020
quinary (5) 120142330
senary (6) 15503240
septenary (7) 4461531
nonary (9) 1032316
undecimal (11) 3483a2
duodecimal (12) 227b20
tridecimal (13) 164832
tetradecimal (14) 105688
pentadecimal (15) adc10

As an angle

552,840° = 1,535 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φνβωμʹ
Chinese
五十五萬二千八百四十
Chinese (financial)
伍拾伍萬貳仟捌佰肆拾
In other modern scripts
Eastern Arabic ٥٥٢٨٤٠ Devanagari ५५२८४० Bengali ৫৫২৮৪০ Tamil ௫௫௨௮௪௦ Thai ๕๕๒๘๔๐ Tibetan ༥༥༢༨༤༠ Khmer ៥៥២៨៤០ Lao ໕໕໒໘໔໐ Burmese ၅၅၂၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 552840, here are decompositions:

  • 7 + 552833 = 552840
  • 19 + 552821 = 552840
  • 31 + 552809 = 552840
  • 47 + 552793 = 552840
  • 53 + 552787 = 552840
  • 83 + 552757 = 552840
  • 89 + 552751 = 552840
  • 109 + 552731 = 552840

Showing the first eight; more decompositions exist.

Hex color
#086F88
RGB(8, 111, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.111.136.

Address
0.8.111.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.111.136

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 552,840 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°.