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553,520

553,520 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.).

553,520 (five hundred fifty-three thousand five hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 11 × 17 × 37. Its proper divisors sum to 973,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x87230.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
25,355
Square (n²)
306,384,390,400
Cube (n³)
169,589,887,774,208,000
Divisor count
80
σ(n) — sum of divisors
1,526,688
φ(n) — Euler's totient
184,320
Sum of prime factors
78

Primality

Prime factorization: 2 4 × 5 × 11 × 17 × 37

Nearest primes: 553,517 (−3) · 553,529 (+9)

Divisors & multiples

All divisors (80)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 17 · 20 · 22 · 34 · 37 · 40 · 44 · 55 · 68 · 74 · 80 · 85 · 88 · 110 · 136 · 148 · 170 · 176 · 185 · 187 · 220 · 272 · 296 · 340 · 370 · 374 · 407 · 440 · 592 · 629 · 680 · 740 · 748 · 814 · 880 · 935 · 1258 · 1360 · 1480 · 1496 · 1628 · 1870 · 2035 · 2516 · 2960 · 2992 · 3145 · 3256 · 3740 · 4070 · 5032 · 6290 · 6512 · 6919 · 7480 · 8140 · 10064 · 12580 · 13838 · 14960 · 16280 · 25160 · 27676 · 32560 · 34595 · 50320 · 55352 · 69190 · 110704 · 138380 · 276760 (half) · 553520
Aliquot sum (sum of proper divisors): 973,168
Factor pairs (a × b = 553,520)
1 × 553520
2 × 276760
4 × 138380
5 × 110704
8 × 69190
10 × 55352
11 × 50320
16 × 34595
17 × 32560
20 × 27676
22 × 25160
34 × 16280
37 × 14960
40 × 13838
44 × 12580
55 × 10064
68 × 8140
74 × 7480
80 × 6919
85 × 6512
88 × 6290
110 × 5032
136 × 4070
148 × 3740
170 × 3256
176 × 3145
185 × 2992
187 × 2960
220 × 2516
272 × 2035
296 × 1870
340 × 1628
370 × 1496
374 × 1480
407 × 1360
440 × 1258
592 × 935
629 × 880
680 × 814
740 × 748
First multiples
553,520 · 1,107,040 (double) · 1,660,560 · 2,214,080 · 2,767,600 · 3,321,120 · 3,874,640 · 4,428,160 · 4,981,680 · 5,535,200

Sums & aliquot sequence

As consecutive integers: 110,702 + 110,703 + 110,704 + 110,705 + 110,706 50,315 + 50,316 + … + 50,325 32,552 + 32,553 + … + 32,568 17,282 + 17,283 + … + 17,313
Aliquot sequence: 553,520 973,168 1,181,952 2,538,128 2,379,526 1,189,766 599,578 440,102 270,874 138,374 74,146 38,318 35,554 19,706 10,534 6,026 3,478 — unresolved within range

Continued fraction of √n

√553,520 = [743; (1, 91, 1, 1486)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-three thousand five hundred twenty
Ordinal
553520th
Binary
10000111001000110000
Octal
2071060
Hexadecimal
0x87230
Base64
CHIw
One's complement
4,294,413,775 (32-bit)
Scientific notation
5.5352 × 10⁵
As a duration
553,520 s = 6 days, 9 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 1001010021202
quaternary (4) 2013020300
quinary (5) 120203040
senary (6) 15510332
septenary (7) 4463522
nonary (9) 1033252
undecimal (11) 348960
duodecimal (12) 2283a8
tridecimal (13) 164c36
tetradecimal (14) 105a12
pentadecimal (15) ae015

As an angle

553,520° = 1,537 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵φνγφκʹ
Chinese
五十五萬三千五百二十
Chinese (financial)
伍拾伍萬參仟伍佰貳拾
In other modern scripts
Eastern Arabic ٥٥٣٥٢٠ Devanagari ५५३५२० Bengali ৫৫৩৫২০ Tamil ௫௫௩௫௨௦ Thai ๕๕๓๕๒๐ Tibetan ༥༥༣༥༢༠ Khmer ៥៥៣៥២០ Lao ໕໕໓໕໒໐ Burmese ၅၅၃၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 553520, here are decompositions:

  • 3 + 553517 = 553520
  • 7 + 553513 = 553520
  • 13 + 553507 = 553520
  • 73 + 553447 = 553520
  • 103 + 553417 = 553520
  • 109 + 553411 = 553520
  • 151 + 553369 = 553520
  • 157 + 553363 = 553520

Showing the first eight; more decompositions exist.

Hex color
#087230
RGB(8, 114, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.114.48.

Address
0.8.114.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.114.48

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 553,520 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°.