Live analysis

552,000

552,000 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.).

552,000 (five hundred fifty-two thousand) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 5³ × 23. Its proper divisors sum to 1,349,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86C40.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

551,988 551,989 551,990 551,991 551,992 551,993 551,994 551,995 551,996 551,997 551,998 551,999 552,000 552,001 552,002 552,003 552,004 552,005 552,006 552,007 552,008 552,009 552,010 552,011 552,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 255
Square (n²): 304,704,000,000
Cube (n³): 168,196,608,000,000,000
Divisor count: 112
σ(n) — sum of divisors: 1,901,952
φ(n) — Euler's totient: 140,800
Sum of prime factors: 53

Primality

Prime factorization: 2 ⁶ × 3 × 5 ³ × 23

Nearest primes: 551,981 (−19) · 552,001 (+1)

Divisors & multiples

All divisors (112)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 23 · 24 · 25 · 30 · 32 · 40 · 46 · 48 · 50 · 60 · 64 · 69 · 75 · 80 · 92 · 96 · 100 · 115 · 120 · 125 · 138 · 150 · 160 · 184 · 192 · 200 · 230 · 240 · 250 · 276 · 300 · 320 · 345 · 368 · 375 · 400 · 460 · 480 · 500 · 552 · 575 · 600 · 690 · 736 · 750 · 800 · 920 · 960 · 1000 · 1104 · 1150 · 1200 · 1380 · 1472 · 1500 · 1600 · 1725 · 1840 · 2000 · 2208 · 2300 · 2400 · 2760 · 2875 · 3000 · 3450 · 3680 · 4000 · 4416 · 4600 · 4800 · 5520 · 5750 · 6000 · 6900 · 7360 · 8000 · 8625 · 9200 · 11040 · 11500 · 12000 · 13800 · 17250 · 18400 · 22080 · 23000 · 24000 · 27600 · 34500 · 36800 · 46000 · 55200 · 69000 · 92000 · 110400 · 138000 · 184000 · 276000 (half) · 552000

Aliquot sum (sum of proper divisors): 1,349,952

Factor pairs (a × b = 552,000)

1 × 552000

2 × 276000

3 × 184000

4 × 138000

5 × 110400

6 × 92000

8 × 69000

10 × 55200

12 × 46000

15 × 36800

16 × 34500

20 × 27600

23 × 24000

24 × 23000

25 × 22080

30 × 18400

32 × 17250

40 × 13800

46 × 12000

48 × 11500

50 × 11040

60 × 9200

64 × 8625

69 × 8000

75 × 7360

80 × 6900

92 × 6000

96 × 5750

100 × 5520

115 × 4800

120 × 4600

125 × 4416

138 × 4000

150 × 3680

160 × 3450

184 × 3000

192 × 2875

200 × 2760

230 × 2400

240 × 2300

250 × 2208

276 × 2000

300 × 1840

320 × 1725

345 × 1600

368 × 1500

375 × 1472

400 × 1380

460 × 1200

480 × 1150

500 × 1104

552 × 1000

575 × 960

600 × 920

690 × 800

736 × 750

First multiples

552,000 · 1,104,000 (double) · 1,656,000 · 2,208,000 · 2,760,000 · 3,312,000 · 3,864,000 · 4,416,000 · 4,968,000 · 5,520,000

Sums & aliquot sequence

As consecutive integers: 183,999 + 184,000 + 184,001 110,398 + 110,399 + 110,400 + 110,401 + 110,402 36,793 + 36,794 + … + 36,807 23,989 + 23,990 + … + 24,011

Aliquot sequence: 552,000 → 1,349,952 → 2,307,648 → 5,153,856 → 9,293,664 → 15,321,696 → 27,995,088 → 53,089,008 → 103,650,960 → 267,753,840 → 562,283,808 → 919,226,208 → 1,546,180,512 → 2,512,543,584 → 4,430,016,096 → 8,429,943,072 → 14,685,609,696 — keeps growing

Continued fraction of √n

√552,000 = [742; (1, 29, 3, 14, 1, 1, 7, 1, 12, 1, 1, 58, 1, 11, 3, 2, 1, 2, 1, 14, 7, 1, 2, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: five hundred fifty-two thousand
Ordinal: 552000th
Binary: 10000110110001000000
Octal: 2066100
Hexadecimal: 0x86C40
Base64: CGxA
One's complement: 4,294,415,295 (32-bit)
Scientific notation: 5.52 × 10⁵
As a duration: 552,000 s = 6 days, 9 hours, 20 minutes

In other bases

ternary (3) 1001001012110

quaternary (4) 2012301000

quinary (5) 120131000

senary (6) 15455320

septenary (7) 4456221

nonary (9) 1031173

undecimal (11) 3477a9

duodecimal (12) 227540

tridecimal (13) 164337

tetradecimal (14) 105248

pentadecimal (15) ad850

As an angle

552,000° = 1,533 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼
Greek (Milesian): ͵φνβ
Chinese: 五十五萬二千
Chinese (financial): 伍拾伍萬貳仟

In other modern scripts

Eastern Arabic ٥٥٢٠٠٠ Devanagari ५५२००० Bengali ৫৫২০০০ Tamil ௫௫௨௦௦௦ Thai ๕๕๒๐๐๐ Tibetan ༥༥༢༠༠༠ Khmer ៥៥២០០០ Lao ໕໕໒໐໐໐ Burmese ၅၅၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 552000, here are decompositions:

19 + 551981 = 552000
37 + 551963 = 552000
41 + 551959 = 552000
67 + 551933 = 552000
73 + 551927 = 552000
83 + 551917 = 552000
89 + 551911 = 552000
139 + 551861 = 552000

Showing the first eight; more decompositions exist.

Hex color

#086C40

RGB(8, 108, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.108.64.

Address: 0.8.108.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.8.108.64

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 552,000 and was likely granted around 1895.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US552,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 552000 first appears in π at position 651,687 of the decimal expansion (the 651,687ordinal-suffix:th 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.

Look up 552000 on Pi Search ↗