Live analysis

1,005,006

1,005,006 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.).

1,005,006 (one million five thousand six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 17 × 59 × 167. Its proper divisors sum to 1,172,274, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF55CE.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Pronic / Oblong Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,994 1,004,995 1,004,996 1,004,997 1,004,998 1,004,999 1,005,000 1,005,001 1,005,002 1,005,003 1,005,004 1,005,005 1,005,006 1,005,007 1,005,008 1,005,009 1,005,010 1,005,011 1,005,012 1,005,013 1,005,014 1,005,015 1,005,016 1,005,017 1,005,018

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,005,001
Square (n²): 1,010,037,060,036
Cube (n³): 1,015,093,305,558,540,216
Divisor count: 32
σ(n) — sum of divisors: 2,177,280
φ(n) — Euler's totient: 308,096
Sum of prime factors: 248

Primality

Prime factorization: 2 × 3 × 17 × 59 × 167

Nearest primes: 1,004,987 (−19) · 1,005,007 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 17 · 34 · 51 · 59 · 102 · 118 · 167 · 177 · 334 · 354 · 501 · 1002 · 1003 · 2006 · 2839 · 3009 · 5678 · 6018 · 8517 · 9853 · 17034 · 19706 · 29559 · 59118 · 167501 · 335002 · 502503 (half) · 1005006

Aliquot sum (sum of proper divisors): 1,172,274

Factor pairs (a × b = 1,005,006)

1 × 1005006

2 × 502503

3 × 335002

6 × 167501

17 × 59118

34 × 29559

51 × 19706

59 × 17034

102 × 9853

118 × 8517

167 × 6018

177 × 5678

334 × 3009

354 × 2839

501 × 2006

1002 × 1003

First multiples

1,005,006 · 2,010,012 (double) · 3,015,018 · 4,020,024 · 5,025,030 · 6,030,036 · 7,035,042 · 8,040,048 · 9,045,054 · 10,050,060

Sums & aliquot sequence

As consecutive integers: 335,001 + 335,002 + 335,003 251,250 + 251,251 + 251,252 + 251,253 83,745 + 83,746 + … + 83,756 59,110 + 59,111 + … + 59,126

Aliquot sequence: 1,005,006 → 1,172,274 → 1,222,734 → 1,222,746 → 1,622,694 → 1,639,626 → 1,639,638 → 3,242,070 → 6,428,682 → 8,798,166 → 12,652,074 → 14,760,792 → 26,751,348 → 46,488,546 → 67,213,854 → 87,891,426 → 136,898,334 — unresolved within range

Continued fraction of √n

√1,005,006 = [1002; (2, 2004)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million five thousand six
Ordinal: 1005006th
Binary: 11110101010111001110
Octal: 3652716
Hexadecimal: 0xF55CE
Base64: D1XO
One's complement: 4,293,962,289 (32-bit)
Scientific notation: 1.005006 × 10⁶
As a duration: 1,005,006 s = 11 days, 15 hours, 10 minutes, 6 seconds

In other bases

ternary (3) 1220001121110

quaternary (4) 3311113032

quinary (5) 224130011

senary (6) 33312450

septenary (7) 11354022

nonary (9) 1801543

undecimal (11) 627092

duodecimal (12) 405726

tridecimal (13) 2925a2

tetradecimal (14) 1c2382

pentadecimal (15) 14cba6

As an angle

1,005,006° = 2,791 × 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 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬五千零六
Chinese (financial): 壹佰萬伍仟零陸

In other modern scripts

Eastern Arabic ١٠٠٥٠٠٦ Devanagari १००५००६ Bengali ১০০৫০০৬ Tamil ௧௦௦௫௦௦௬ Thai ๑๐๐๕๐๐๖ Tibetan ༡༠༠༥༠༠༦ Khmer ១០០៥០០៦ Lao ໑໐໐໕໐໐໖ Burmese ၁၀၀၅၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005006, here are decompositions:

19 + 1004987 = 1005006
29 + 1004977 = 1005006
43 + 1004963 = 1005006
89 + 1004917 = 1005006
103 + 1004903 = 1005006
227 + 1004779 = 1005006
257 + 1004749 = 1005006
263 + 1004743 = 1005006

Showing the first eight; more decompositions exist.

Hex color

#0F55CE

RGB(15, 85, 206)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.206.

Address: 0.15.85.206
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.206

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 1,005,006 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 US1,005,006 on Google Patents ↗ Look up on USPTO ↗