Live analysis

1,006,446

1,006,446 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.).

1,006,446 (one million six thousand four hundred forty-six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 31 × 773. Its proper divisors sum to 1,371,282, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B6E.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,006,434 1,006,435 1,006,436 1,006,437 1,006,438 1,006,439 1,006,440 1,006,441 1,006,442 1,006,443 1,006,444 1,006,445 1,006,446 1,006,447 1,006,448 1,006,449 1,006,450 1,006,451 1,006,452 1,006,453 1,006,454 1,006,455 1,006,456 1,006,457 1,006,458

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,446,001
Square (n²): 1,012,933,550,916
Cube (n³): 1,019,462,920,585,204,536
Divisor count: 32
σ(n) — sum of divisors: 2,377,728
φ(n) — Euler's totient: 277,920
Sum of prime factors: 816

Primality

Prime factorization: 2 × 3 × 7 × 31 × 773

Nearest primes: 1,006,441 (−5) · 1,006,463 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 31 · 42 · 62 · 93 · 186 · 217 · 434 · 651 · 773 · 1302 · 1546 · 2319 · 4638 · 5411 · 10822 · 16233 · 23963 · 32466 · 47926 · 71889 · 143778 · 167741 · 335482 · 503223 (half) · 1006446

Aliquot sum (sum of proper divisors): 1,371,282

Factor pairs (a × b = 1,006,446)

1 × 1006446

2 × 503223

3 × 335482

6 × 167741

7 × 143778

14 × 71889

21 × 47926

31 × 32466

42 × 23963

62 × 16233

93 × 10822

186 × 5411

217 × 4638

434 × 2319

651 × 1546

773 × 1302

First multiples

1,006,446 · 2,012,892 (double) · 3,019,338 · 4,025,784 · 5,032,230 · 6,038,676 · 7,045,122 · 8,051,568 · 9,058,014 · 10,064,460

Sums & aliquot sequence

As consecutive integers: 335,481 + 335,482 + 335,483 251,610 + 251,611 + 251,612 + 251,613 143,775 + 143,776 + … + 143,781 83,865 + 83,866 + … + 83,876

Aliquot sequence: 1,006,446 → 1,371,282 → 1,669,998 → 1,973,778 → 1,990,158 → 1,990,170 → 4,622,310 → 11,551,770 → 19,303,470 → 30,885,786 → 39,299,238 → 58,823,514 → 68,627,472 → 109,170,672 → 200,372,016 → 357,074,944 → 366,265,856 — unresolved within range

Continued fraction of √n

√1,006,446 = [1003; (4, 1, 1, 2, 3, 1, 94, 1, 3, 2, 1, 1, 4, 2006)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million six thousand four hundred forty-six
Ordinal: 1006446th
Binary: 11110101101101101110
Octal: 3655556
Hexadecimal: 0xF5B6E
Base64: D1tu
One's complement: 4,293,960,849 (32-bit)
Scientific notation: 1.006446 × 10⁶
As a duration: 1,006,446 s = 11 days, 15 hours, 34 minutes, 6 seconds

In other bases

ternary (3) 1220010120210

quaternary (4) 3311231232

quinary (5) 224201241

senary (6) 33323250

septenary (7) 11361150

nonary (9) 1803523

undecimal (11) 628181

duodecimal (12) 406526

tridecimal (13) 29313c

tetradecimal (14) 1c2ad0

pentadecimal (15) 14d316

As an angle

1,006,446° = 2,795 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千四百四十六
Chinese (financial): 壹佰萬陸仟肆佰肆拾陸

In other modern scripts

Eastern Arabic ١٠٠٦٤٤٦ Devanagari १००६४४६ Bengali ১০০৬৪৪৬ Tamil ௧௦௦௬௪௪௬ Thai ๑๐๐๖๔๔๖ Tibetan ༡༠༠༦༤༤༦ Khmer ១០០៦៤៤៦ Lao ໑໐໐໖໔໔໖ Burmese ၁၀၀၆၄၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006446, here are decompositions:

5 + 1006441 = 1006446
13 + 1006433 = 1006446
53 + 1006393 = 1006446
79 + 1006367 = 1006446
107 + 1006339 = 1006446
109 + 1006337 = 1006446
113 + 1006333 = 1006446
137 + 1006309 = 1006446

Showing the first eight; more decompositions exist.

Hex color

#0F5B6E

RGB(15, 91, 110)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.110.

Address: 0.15.91.110
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.110

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 1,006,446 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 US1,006,446 on Google Patents ↗ Look up on USPTO ↗