number.wiki
Live analysis

550,560

550,560 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.).

550,560 (five hundred fifty thousand five hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 31 × 37. Its proper divisors sum to 1,288,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x866A0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
65,055
Square (n²)
303,116,313,600
Cube (n³)
166,883,717,615,616,000
Divisor count
96
σ(n) — sum of divisors
1,838,592
φ(n) — Euler's totient
138,240
Sum of prime factors
86

Primality

Prime factorization: 2 5 × 3 × 5 × 31 × 37

Nearest primes: 550,553 (−7) · 550,577 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 31 · 32 · 37 · 40 · 48 · 60 · 62 · 74 · 80 · 93 · 96 · 111 · 120 · 124 · 148 · 155 · 160 · 185 · 186 · 222 · 240 · 248 · 296 · 310 · 370 · 372 · 444 · 465 · 480 · 496 · 555 · 592 · 620 · 740 · 744 · 888 · 930 · 992 · 1110 · 1147 · 1184 · 1240 · 1480 · 1488 · 1776 · 1860 · 2220 · 2294 · 2480 · 2960 · 2976 · 3441 · 3552 · 3720 · 4440 · 4588 · 4960 · 5735 · 5920 · 6882 · 7440 · 8880 · 9176 · 11470 · 13764 · 14880 · 17205 · 17760 · 18352 · 22940 · 27528 · 34410 · 36704 · 45880 · 55056 · 68820 · 91760 · 110112 · 137640 · 183520 · 275280 (half) · 550560
Aliquot sum (sum of proper divisors): 1,288,032
Factor pairs (a × b = 550,560)
1 × 550560
2 × 275280
3 × 183520
4 × 137640
5 × 110112
6 × 91760
8 × 68820
10 × 55056
12 × 45880
15 × 36704
16 × 34410
20 × 27528
24 × 22940
30 × 18352
31 × 17760
32 × 17205
37 × 14880
40 × 13764
48 × 11470
60 × 9176
62 × 8880
74 × 7440
80 × 6882
93 × 5920
96 × 5735
111 × 4960
120 × 4588
124 × 4440
148 × 3720
155 × 3552
160 × 3441
185 × 2976
186 × 2960
222 × 2480
240 × 2294
248 × 2220
296 × 1860
310 × 1776
370 × 1488
372 × 1480
444 × 1240
465 × 1184
480 × 1147
496 × 1110
555 × 992
592 × 930
620 × 888
740 × 744
First multiples
550,560 · 1,101,120 (double) · 1,651,680 · 2,202,240 · 2,752,800 · 3,303,360 · 3,853,920 · 4,404,480 · 4,955,040 · 5,505,600

Sums & aliquot sequence

As consecutive integers: 183,519 + 183,520 + 183,521 110,110 + 110,111 + 110,112 + 110,113 + 110,114 36,697 + 36,698 + … + 36,711 17,745 + 17,746 + … + 17,775
Aliquot sequence: 550,560 1,288,032 2,093,304 3,140,016 6,204,624 9,824,112 18,375,968 20,968,288 24,754,592 24,653,284 18,489,970 14,791,994 11,900,806 5,980,178 3,277,798 1,638,902 1,212,298 — unresolved within range

Continued fraction of √n

√550,560 = [741; (1, 369, 1, 1482)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty thousand five hundred sixty
Ordinal
550560th
Binary
10000110011010100000
Octal
2063240
Hexadecimal
0x866A0
Base64
CGag
One's complement
4,294,416,735 (32-bit)
Scientific notation
5.5056 × 10⁵
As a duration
550,560 s = 6 days, 8 hours, 56 minutes
In other bases
ternary (3) 1000222020010
quaternary (4) 2012122200
quinary (5) 120104220
senary (6) 15444520
septenary (7) 4452063
nonary (9) 1028203
undecimal (11) 34670a
duodecimal (12) 226740
tridecimal (13) 16379a
tetradecimal (14) 1048da
pentadecimal (15) ad1e0

As an angle

550,560° = 1,529 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φνφξʹ
Chinese
五十五萬零五百六十
Chinese (financial)
伍拾伍萬零伍佰陸拾
In other modern scripts
Eastern Arabic ٥٥٠٥٦٠ Devanagari ५५०५६० Bengali ৫৫০৫৬০ Tamil ௫௫௦௫௬௦ Thai ๕๕๐๕๖๐ Tibetan ༥༥༠༥༦༠ Khmer ៥៥០៥៦០ Lao ໕໕໐໕໖໐ Burmese ၅၅၀၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 550560, here are decompositions:

  • 7 + 550553 = 550560
  • 19 + 550541 = 550560
  • 29 + 550531 = 550560
  • 41 + 550519 = 550560
  • 47 + 550513 = 550560
  • 71 + 550489 = 550560
  • 89 + 550471 = 550560
  • 103 + 550457 = 550560

Showing the first eight; more decompositions exist.

Hex color
#0866A0
RGB(8, 102, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.102.160.

Address
0.8.102.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.102.160

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 550,560 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 550560 first appears in π at position 846,731 of the decimal expansion (the 846,731ordinal-suffix:st 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°.