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552,240

552,240 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.).

552,240 (five hundred fifty-two thousand two hundred forty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 13 × 59. Its proper divisors sum to 1,478,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86D30.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number 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
42,255
Square (n²)
304,969,017,600
Cube (n³)
168,416,090,279,424,000
Divisor count
120
σ(n) — sum of divisors
2,031,120
φ(n) — Euler's totient
133,632
Sum of prime factors
91

Primality

Prime factorization: 2 4 × 3 2 × 5 × 13 × 59

Nearest primes: 552,239 (−1) · 552,241 (+1)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 16 · 18 · 20 · 24 · 26 · 30 · 36 · 39 · 40 · 45 · 48 · 52 · 59 · 60 · 65 · 72 · 78 · 80 · 90 · 104 · 117 · 118 · 120 · 130 · 144 · 156 · 177 · 180 · 195 · 208 · 234 · 236 · 240 · 260 · 295 · 312 · 354 · 360 · 390 · 468 · 472 · 520 · 531 · 585 · 590 · 624 · 708 · 720 · 767 · 780 · 885 · 936 · 944 · 1040 · 1062 · 1170 · 1180 · 1416 · 1534 · 1560 · 1770 · 1872 · 2124 · 2301 · 2340 · 2360 · 2655 · 2832 · 3068 · 3120 · 3540 · 3835 · 4248 · 4602 · 4680 · 4720 · 5310 · 6136 · 6903 · 7080 · 7670 · 8496 · 9204 · 9360 · 10620 · 11505 · 12272 · 13806 · 14160 · 15340 · 18408 · 21240 · 23010 · 27612 · 30680 · 34515 · 36816 · 42480 · 46020 · 55224 · 61360 · 69030 · 92040 · 110448 · 138060 · 184080 · 276120 (half) · 552240
Aliquot sum (sum of proper divisors): 1,478,880
Factor pairs (a × b = 552,240)
1 × 552240
2 × 276120
3 × 184080
4 × 138060
5 × 110448
6 × 92040
8 × 69030
9 × 61360
10 × 55224
12 × 46020
13 × 42480
15 × 36816
16 × 34515
18 × 30680
20 × 27612
24 × 23010
26 × 21240
30 × 18408
36 × 15340
39 × 14160
40 × 13806
45 × 12272
48 × 11505
52 × 10620
59 × 9360
60 × 9204
65 × 8496
72 × 7670
78 × 7080
80 × 6903
90 × 6136
104 × 5310
117 × 4720
118 × 4680
120 × 4602
130 × 4248
144 × 3835
156 × 3540
177 × 3120
180 × 3068
195 × 2832
208 × 2655
234 × 2360
236 × 2340
240 × 2301
260 × 2124
295 × 1872
312 × 1770
354 × 1560
360 × 1534
390 × 1416
468 × 1180
472 × 1170
520 × 1062
531 × 1040
585 × 944
590 × 936
624 × 885
708 × 780
720 × 767
First multiples
552,240 · 1,104,480 (double) · 1,656,720 · 2,208,960 · 2,761,200 · 3,313,440 · 3,865,680 · 4,417,920 · 4,970,160 · 5,522,400

Sums & aliquot sequence

As consecutive integers: 184,079 + 184,080 + 184,081 110,446 + 110,447 + 110,448 + 110,449 + 110,450 61,356 + 61,357 + … + 61,364 42,474 + 42,475 + … + 42,486
Aliquot sequence: 552,240 1,478,880 4,024,800 11,614,824 22,264,476 36,034,548 55,690,092 94,940,388 150,632,940 271,139,460 536,776,572 736,932,228 987,541,404 1,334,315,364 1,779,087,180 3,767,493,300 7,133,121,516 — unresolved within range

Continued fraction of √n

√552,240 = [743; (7, 1, 3, 1, 1, 3, 1, 1, 3, 1, 2, 17, 1, 91, 1, 17, 2, 1, 3, 1, 1, 3, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-two thousand two hundred forty
Ordinal
552240th
Binary
10000110110100110000
Octal
2066460
Hexadecimal
0x86D30
Base64
CG0w
One's complement
4,294,415,055 (32-bit)
Scientific notation
5.5224 × 10⁵
As a duration
552,240 s = 6 days, 9 hours, 24 minutes
In other bases
ternary (3) 1001001112100
quaternary (4) 2012310300
quinary (5) 120132430
senary (6) 15500400
septenary (7) 4460013
nonary (9) 1031470
undecimal (11) 3479a7
duodecimal (12) 227700
tridecimal (13) 164490
tetradecimal (14) 10537a
pentadecimal (15) ad960

As an angle

552,240° = 1,534 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φνβσμʹ
Chinese
五十五萬二千二百四十
Chinese (financial)
伍拾伍萬貳仟貳佰肆拾
In other modern scripts
Eastern Arabic ٥٥٢٢٤٠ Devanagari ५५२२४० Bengali ৫৫২২৪০ Tamil ௫௫௨௨௪௦ Thai ๕๕๒๒๔๐ Tibetan ༥༥༢༢༤༠ Khmer ៥៥២២៤០ Lao ໕໕໒໒໔໐ Burmese ၅၅၂၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 552240, here are decompositions:

  • 23 + 552217 = 552240
  • 47 + 552193 = 552240
  • 61 + 552179 = 552240
  • 103 + 552137 = 552240
  • 113 + 552127 = 552240
  • 127 + 552113 = 552240
  • 137 + 552103 = 552240
  • 149 + 552091 = 552240

Showing the first eight; more decompositions exist.

Hex color
#086D30
RGB(8, 109, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.109.48.

Address
0.8.109.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.109.48

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 552,240 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 552240 first appears in π at position 207,592 of the decimal expansion (the 207,592ordinal-suffix:nd 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°.