Live analysis

1,006,344

1,006,344 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.).

1,006,344 (one million six thousand three hundred forty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2³ × 3⁴ × 1,553. Its proper divisors sum to 1,814,166, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B08.

Abundant Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,332 1,006,333 1,006,334 1,006,335 1,006,336 1,006,337 1,006,338 1,006,339 1,006,340 1,006,341 1,006,342 1,006,343 1,006,344 1,006,345 1,006,346 1,006,347 1,006,348 1,006,349 1,006,350 1,006,351 1,006,352 1,006,353 1,006,354 1,006,355 1,006,356

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,436,001
Square (n²): 1,012,728,246,336
Cube (n³): 1,019,152,994,330,755,584
Divisor count: 40
σ(n) — sum of divisors: 2,820,510
φ(n) — Euler's totient: 335,232
Sum of prime factors: 1,571

Primality

Prime factorization: 2 ³ × 3 ⁴ × 1553

Nearest primes: 1,006,339 (−5) · 1,006,351 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 81 · 108 · 162 · 216 · 324 · 648 · 1553 · 3106 · 4659 · 6212 · 9318 · 12424 · 13977 · 18636 · 27954 · 37272 · 41931 · 55908 · 83862 · 111816 · 125793 · 167724 · 251586 · 335448 · 503172 (half) · 1006344

Aliquot sum (sum of proper divisors): 1,814,166

Factor pairs (a × b = 1,006,344)

1 × 1006344

2 × 503172

3 × 335448

4 × 251586

6 × 167724

8 × 125793

9 × 111816

12 × 83862

18 × 55908

24 × 41931

27 × 37272

36 × 27954

54 × 18636

72 × 13977

81 × 12424

108 × 9318

162 × 6212

216 × 4659

324 × 3106

648 × 1553

First multiples

1,006,344 · 2,012,688 (double) · 3,019,032 · 4,025,376 · 5,031,720 · 6,038,064 · 7,044,408 · 8,050,752 · 9,057,096 · 10,063,440

Sums & aliquot sequence

As a sum of two squares: 162² + 990²

As consecutive integers: 335,447 + 335,448 + 335,449 111,812 + 111,813 + … + 111,820 62,889 + 62,890 + … + 62,904 37,259 + 37,260 + … + 37,285

Aliquot sequence: 1,006,344 → 1,814,166 → 2,116,566 → 2,549,394 → 3,163,500 → 7,625,460 → 14,852,940 → 29,660,340 → 57,003,468 → 76,317,300 → 175,541,580 → 375,143,940 → 794,848,380 → 1,430,727,252 → 2,019,331,500 → 3,986,284,116 → 5,344,770,988 — unresolved within range

Continued fraction of √n

√1,006,344 = [1003; (5, 1, 86, 2, 1, 1, 27, 3, 1, 3, 9, 2, 2, 1, 7, 222, 1, 3, 1, 10, 9, 1, 1, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one million six thousand three hundred forty-four
Ordinal: 1006344th
Binary: 11110101101100001000
Octal: 3655410
Hexadecimal: 0xF5B08
Base64: D1sI
One's complement: 4,293,960,951 (32-bit)
Scientific notation: 1.006344 × 10⁶
As a duration: 1,006,344 s = 11 days, 15 hours, 32 minutes, 24 seconds

In other bases

ternary (3) 1220010110000

quaternary (4) 3311230020

quinary (5) 224200334

senary (6) 33323000

septenary (7) 11360643

nonary (9) 1803400

undecimal (11) 628099

duodecimal (12) 406460

tridecimal (13) 293091

tetradecimal (14) 1c2a5a

pentadecimal (15) 14d299

As an angle

1,006,344° = 2,795 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千三百四十四
Chinese (financial): 壹佰萬陸仟參佰肆拾肆

In other modern scripts

Eastern Arabic ١٠٠٦٣٤٤ Devanagari १००६३४४ Bengali ১০০৬৩৪৪ Tamil ௧௦௦௬௩௪௪ Thai ๑๐๐๖๓๔๔ Tibetan ༡༠༠༦༣༤༤ Khmer ១០០៦៣៤៤ Lao ໑໐໐໖໓໔໔ Burmese ၁၀၀၆၃၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006344, here are decompositions:

5 + 1006339 = 1006344
7 + 1006337 = 1006344
11 + 1006333 = 1006344
13 + 1006331 = 1006344
37 + 1006307 = 1006344
41 + 1006303 = 1006344
43 + 1006301 = 1006344
103 + 1006241 = 1006344

Showing the first eight; more decompositions exist.

Hex color

#0F5B08

RGB(15, 91, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.8.

Address: 0.15.91.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.8

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 1,006,344 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 US1,006,344 on Google Patents ↗ Look up on USPTO ↗