Live analysis

1,006,006

1,006,006 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.).

1,006,006 (one million six thousand six) is an even 7-digit number. It is a composite number with 4 divisors, and factors as 2 × 503,003. Written other ways, in hexadecimal, 0xF59B6.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Pernicious Number Semiprime Smith Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 6,006,001
Flips to (rotate 180°): 9,009,001
Square (n²): 1,012,048,072,036
Cube (n³): 1,018,126,432,756,648,216
Divisor count: 4
σ(n) — sum of divisors: 1,509,012
φ(n) — Euler's totient: 503,002
Sum of prime factors: 503,005

Primality

Prime factorization: 2 × 503003

Nearest primes: 1,006,003 (−3) · 1,006,007 (+1)

Divisors & multiples

All divisors (4)

1 · 2 · 503003 (half) · 1006006

Aliquot sum (sum of proper divisors): 503,006

Factor pairs (a × b = 1,006,006)

1 × 1006006

2 × 503003

First multiples

1,006,006 · 2,012,012 (double) · 3,018,018 · 4,024,024 · 5,030,030 · 6,036,036 · 7,042,042 · 8,048,048 · 9,054,054 · 10,060,060

Sums & aliquot sequence

As consecutive integers: 251,500 + 251,501 + 251,502 + 251,503

Aliquot sequence: 1,006,006 → 503,006 → 449,314 → 246,494 → 133,354 → 92,438 → 46,222 → 30,386 → 15,196 → 12,524 → 10,324 → 8,576 → 8,764 → 8,820 → 22,302 → 35,298 → 44,730 — unresolved within range

Continued fraction of √n

√1,006,006 = [1002; (1, 667, 1, 1, 1, 222, 4, 1, 1, 73, 1, 2, 1, 5, 1, 23, 1, 10, 1, 1, 3, 7, 1, 33, …)]

Representations

In words: one million six thousand six
Ordinal: 1006006th
Binary: 11110101100110110110
Octal: 3654666
Hexadecimal: 0xF59B6
Base64: D1m2
One's complement: 4,293,961,289 (32-bit)
Scientific notation: 1.006006 × 10⁶
As a duration: 1,006,006 s = 11 days, 15 hours, 26 minutes, 46 seconds

In other bases

ternary (3) 1220002222111

quaternary (4) 3311212312

quinary (5) 224143011

senary (6) 33321234

septenary (7) 11356651

nonary (9) 1802874

undecimal (11) 627911

duodecimal (12) 40621a

tridecimal (13) 292b91

tetradecimal (14) 1c2898

pentadecimal (15) 14d121

As an angle

1,006,006° = 2,794 × 360° + 166°

166° ≈ 2.897 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千零六
Chinese (financial): 壹佰萬陸仟零陸

In other modern scripts

Eastern Arabic ١٠٠٦٠٠٦ Devanagari १००६००६ Bengali ১০০৬০০৬ Tamil ௧௦௦௬௦௦௬ Thai ๑๐๐๖๐๐๖ Tibetan ༡༠༠༦༠༠༦ Khmer ១០០៦០០៦ Lao ໑໐໐໖໐໐໖ Burmese ၁၀၀၆၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006006, here are decompositions:

3 + 1006003 = 1006006
17 + 1005989 = 1006006
47 + 1005959 = 1006006
173 + 1005833 = 1006006
179 + 1005827 = 1006006
359 + 1005647 = 1006006
389 + 1005617 = 1006006
479 + 1005527 = 1006006

Showing the first eight; more decompositions exist.

Hex color

#0F59B6

RGB(15, 89, 182)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.182.

Address: 0.15.89.182
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.89.182

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