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552,420

552,420 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.).

552,420 (five hundred fifty-two thousand four hundred twenty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2² × 3⁴ × 5 × 11 × 31. Its proper divisors sum to 1,399,068, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86DE4.

Abundant Number Decagonal Evil Number Harshad / Niven Practical Number Recamán's Sequence 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
24,255
Recamán's sequence
a(188,836) = 552,420
Square (n²)
305,167,856,400
Cube (n³)
168,580,827,232,488,000
Divisor count
120
σ(n) — sum of divisors
1,951,488
φ(n) — Euler's totient
129,600
Sum of prime factors
63

Primality

Prime factorization: 2 2 × 3 4 × 5 × 11 × 31

Nearest primes: 552,403 (−17) · 552,469 (+49)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 27 · 30 · 31 · 33 · 36 · 44 · 45 · 54 · 55 · 60 · 62 · 66 · 81 · 90 · 93 · 99 · 108 · 110 · 124 · 132 · 135 · 155 · 162 · 165 · 180 · 186 · 198 · 220 · 270 · 279 · 297 · 310 · 324 · 330 · 341 · 372 · 396 · 405 · 465 · 495 · 540 · 558 · 594 · 620 · 660 · 682 · 810 · 837 · 891 · 930 · 990 · 1023 · 1116 · 1188 · 1364 · 1395 · 1485 · 1620 · 1674 · 1705 · 1782 · 1860 · 1980 · 2046 · 2511 · 2790 · 2970 · 3069 · 3348 · 3410 · 3564 · 4092 · 4185 · 4455 · 5022 · 5115 · 5580 · 5940 · 6138 · 6820 · 8370 · 8910 · 9207 · 10044 · 10230 · 12276 · 12555 · 15345 · 16740 · 17820 · 18414 · 20460 · 25110 · 27621 · 30690 · 36828 · 46035 · 50220 · 55242 · 61380 · 92070 · 110484 · 138105 · 184140 · 276210 (half) · 552420
Aliquot sum (sum of proper divisors): 1,399,068
Factor pairs (a × b = 552,420)
1 × 552420
2 × 276210
3 × 184140
4 × 138105
5 × 110484
6 × 92070
9 × 61380
10 × 55242
11 × 50220
12 × 46035
15 × 36828
18 × 30690
20 × 27621
22 × 25110
27 × 20460
30 × 18414
31 × 17820
33 × 16740
36 × 15345
44 × 12555
45 × 12276
54 × 10230
55 × 10044
60 × 9207
62 × 8910
66 × 8370
81 × 6820
90 × 6138
93 × 5940
99 × 5580
108 × 5115
110 × 5022
124 × 4455
132 × 4185
135 × 4092
155 × 3564
162 × 3410
165 × 3348
180 × 3069
186 × 2970
198 × 2790
220 × 2511
270 × 2046
279 × 1980
297 × 1860
310 × 1782
324 × 1705
330 × 1674
341 × 1620
372 × 1485
396 × 1395
405 × 1364
465 × 1188
495 × 1116
540 × 1023
558 × 990
594 × 930
620 × 891
660 × 837
682 × 810
First multiples
552,420 · 1,104,840 (double) · 1,657,260 · 2,209,680 · 2,762,100 · 3,314,520 · 3,866,940 · 4,419,360 · 4,971,780 · 5,524,200

Sums & aliquot sequence

As consecutive integers: 184,139 + 184,140 + 184,141 110,482 + 110,483 + 110,484 + 110,485 + 110,486 69,049 + 69,050 + … + 69,056 61,376 + 61,377 + … + 61,384
Aliquot sequence: 552,420 1,399,068 2,460,060 5,140,260 11,935,260 24,895,716 33,194,316 44,259,116 40,406,164 33,329,036 29,483,476 29,303,084 22,016,380 24,306,260 36,149,548 30,833,564 23,173,060 — unresolved within range

Continued fraction of √n

√552,420 = [743; (4, 164, 1, 10, 1, 164, 4, 1486)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-two thousand four hundred twenty
Ordinal
552420th
Binary
10000110110111100100
Octal
2066744
Hexadecimal
0x86DE4
Base64
CG3k
One's complement
4,294,414,875 (32-bit)
Scientific notation
5.5242 × 10⁵
As a duration
552,420 s = 6 days, 9 hours, 27 minutes
In other bases
ternary (3) 1001001210000
quaternary (4) 2012313210
quinary (5) 120134140
senary (6) 15501300
septenary (7) 4460361
nonary (9) 1031700
undecimal (11) 348050
duodecimal (12) 227830
tridecimal (13) 16459b
tetradecimal (14) 105468
pentadecimal (15) ada30

As an angle

552,420° = 1,534 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵φνβυκʹ
Chinese
五十五萬二千四百二十
Chinese (financial)
伍拾伍萬貳仟肆佰貳拾
In other modern scripts
Eastern Arabic ٥٥٢٤٢٠ Devanagari ५५२४२० Bengali ৫৫২৪২০ Tamil ௫௫௨௪௨௦ Thai ๕๕๒๔๒๐ Tibetan ༥༥༢༤༢༠ Khmer ៥៥២៤២០ Lao ໕໕໒໔໒໐ Burmese ၅၅၂၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 552420, here are decompositions:

  • 17 + 552403 = 552420
  • 19 + 552401 = 552420
  • 23 + 552397 = 552420
  • 41 + 552379 = 552420
  • 67 + 552353 = 552420
  • 79 + 552341 = 552420
  • 103 + 552317 = 552420
  • 137 + 552283 = 552420

Showing the first eight; more decompositions exist.

Hex color
#086DE4
RGB(8, 109, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.109.228.

Address
0.8.109.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.109.228

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 552,420 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 552420 first appears in π at position 255,141 of the decimal expansion (the 255,141ordinal-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°.