Live analysis

1,005,550

1,005,550 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.).

1,005,550 (one million five thousand five hundred fifty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2 × 5² × 7 × 13² × 17. Its proper divisors sum to 1,445,186, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF57EE.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,005,538 1,005,539 1,005,540 1,005,541 1,005,542 1,005,543 1,005,544 1,005,545 1,005,546 1,005,547 1,005,548 1,005,549 1,005,550 1,005,551 1,005,552 1,005,553 1,005,554 1,005,555 1,005,556 1,005,557 1,005,558 1,005,559 1,005,560 1,005,561 1,005,562

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 555,001
Square (n²): 1,011,130,802,500
Cube (n³): 1,016,742,578,453,875,000
Divisor count: 72
σ(n) — sum of divisors: 2,450,736
φ(n) — Euler's totient: 299,520
Sum of prime factors: 62

Primality

Prime factorization: 2 × 5 ² × 7 × 13 ² × 17

Nearest primes: 1,005,541 (−9) · 1,005,551 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 5 · 7 · 10 · 13 · 14 · 17 · 25 · 26 · 34 · 35 · 50 · 65 · 70 · 85 · 91 · 119 · 130 · 169 · 170 · 175 · 182 · 221 · 238 · 325 · 338 · 350 · 425 · 442 · 455 · 595 · 650 · 845 · 850 · 910 · 1105 · 1183 · 1190 · 1547 · 1690 · 2210 · 2275 · 2366 · 2873 · 2975 · 3094 · 4225 · 4550 · 5525 · 5746 · 5915 · 5950 · 7735 · 8450 · 11050 · 11830 · 14365 · 15470 · 20111 · 28730 · 29575 · 38675 · 40222 · 59150 · 71825 · 77350 · 100555 · 143650 · 201110 · 502775 (half) · 1005550

Aliquot sum (sum of proper divisors): 1,445,186

Factor pairs (a × b = 1,005,550)

1 × 1005550

2 × 502775

5 × 201110

7 × 143650

10 × 100555

13 × 77350

14 × 71825

17 × 59150

25 × 40222

26 × 38675

34 × 29575

35 × 28730

50 × 20111

65 × 15470

70 × 14365

85 × 11830

91 × 11050

119 × 8450

130 × 7735

169 × 5950

170 × 5915

175 × 5746

182 × 5525

221 × 4550

238 × 4225

325 × 3094

338 × 2975

350 × 2873

425 × 2366

442 × 2275

455 × 2210

595 × 1690

650 × 1547

845 × 1190

850 × 1183

910 × 1105

First multiples

1,005,550 · 2,011,100 (double) · 3,016,650 · 4,022,200 · 5,027,750 · 6,033,300 · 7,038,850 · 8,044,400 · 9,049,950 · 10,055,500

Sums & aliquot sequence

As consecutive integers: 251,386 + 251,387 + 251,388 + 251,389 201,108 + 201,109 + 201,110 + 201,111 + 201,112 143,647 + 143,648 + … + 143,653 77,344 + 77,345 + … + 77,356

Aliquot sequence: 1,005,550 → 1,445,186 → 797,434 → 529,382 → 378,154 → 270,134 → 148,234 → 76,154 → 52,366 → 26,186 → 13,096 → 11,474 → 5,740 → 8,372 → 10,444 → 10,500 → 24,444 — unresolved within range

Continued fraction of √n

√1,005,550 = [1002; (1, 3, 2, 1, 2, 2, 1, 2, 20, 1, 28, 8, 1, 7, 3, 1, 3, 1, 19, 14, 1, 10, 1, 14, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million five thousand five hundred fifty
Ordinal: 1005550th
Binary: 11110101011111101110
Octal: 3653756
Hexadecimal: 0xF57EE
Base64: D1fu
One's complement: 4,293,961,745 (32-bit)
Scientific notation: 1.00555 × 10⁶
As a duration: 1,005,550 s = 11 days, 15 hours, 19 minutes, 10 seconds

In other bases

ternary (3) 1220002100121

quaternary (4) 3311133232

quinary (5) 224134200

senary (6) 33315154

septenary (7) 11355430

nonary (9) 1802317

undecimal (11) 627537

duodecimal (12) 405aba

tridecimal (13) 292900

tetradecimal (14) 1c2650

pentadecimal (15) 14ce1a

As an angle

1,005,550° = 2,793 × 360° + 70°

70° ≈ 1.222 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬五千五百五十
Chinese (financial): 壹佰萬伍仟伍佰伍拾

In other modern scripts

Eastern Arabic ١٠٠٥٥٥٠ Devanagari १००५५५० Bengali ১০০৫৫৫০ Tamil ௧௦௦௫௫௫௦ Thai ๑๐๐๕๕๕๐ Tibetan ༡༠༠༥༥༥༠ Khmer ១០០៥៥៥០ Lao ໑໐໐໕໕໕໐ Burmese ၁၀၀၅၅၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005550, here are decompositions:

23 + 1005527 = 1005550
47 + 1005503 = 1005550
83 + 1005467 = 1005550
113 + 1005437 = 1005550
137 + 1005413 = 1005550
179 + 1005371 = 1005550
191 + 1005359 = 1005550
233 + 1005317 = 1005550

Showing the first eight; more decompositions exist.

Hex color

#0F57EE

RGB(15, 87, 238)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.87.238.

Address: 0.15.87.238
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.87.238

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 1,005,550 and was likely granted around 1911.

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

Look up US1,005,550 on Google Patents ↗ Look up on USPTO ↗