Live analysis

1,008,006

1,008,006 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.).

1,008,006 (one million eight thousand six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 43 × 3,907. Its proper divisors sum to 1,055,418, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6186.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,008,001
Flips to (rotate 180°): 9,008,001
Recamán's sequence: a(349,439) = 1,008,006
Square (n²): 1,016,076,096,036
Cube (n³): 1,024,210,801,260,864,216
Divisor count: 16
σ(n) — sum of divisors: 2,063,424
φ(n) — Euler's totient: 328,104
Sum of prime factors: 3,955

Primality

Prime factorization: 2 × 3 × 43 × 3907

Nearest primes: 1,008,001 (−5) · 1,008,013 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 43 · 86 · 129 · 258 · 3907 · 7814 · 11721 · 23442 · 168001 · 336002 · 504003 (half) · 1008006

Aliquot sum (sum of proper divisors): 1,055,418

Factor pairs (a × b = 1,008,006)

1 × 1008006

2 × 504003

3 × 336002

6 × 168001

43 × 23442

86 × 11721

129 × 7814

258 × 3907

First multiples

1,008,006 · 2,016,012 (double) · 3,024,018 · 4,032,024 · 5,040,030 · 6,048,036 · 7,056,042 · 8,064,048 · 9,072,054 · 10,080,060

Sums & aliquot sequence

As consecutive integers: 336,001 + 336,002 + 336,003 252,000 + 252,001 + 252,002 + 252,003 83,995 + 83,996 + … + 84,006 23,421 + 23,422 + … + 23,463

Aliquot sequence: 1,008,006 → 1,055,418 → 1,543,878 → 2,279,370 → 3,191,190 → 4,467,738 → 5,370,342 → 5,440,650 → 9,558,390 → 13,873,290 → 19,422,678 → 24,703,530 → 34,585,014 → 35,011,338 → 41,082,102 → 49,610,682 → 69,336,198 — unresolved within range

Continued fraction of √n

√1,008,006 = [1003; (1, 199, 1, 3, 1, 79, 1, 1, 12, 7, 1, 19, 1, 4, 1, 2, 2, 1, 1, 1, 2, 13, 1, 3, …)]

Representations

In words: one million eight thousand six
Ordinal: 1008006th
Binary: 11110110000110000110
Octal: 3660606
Hexadecimal: 0xF6186
Base64: D2GG
One's complement: 4,293,959,289 (32-bit)
Scientific notation: 1.008006 × 10⁶
As a duration: 1,008,006 s = 11 days, 16 hours, 6 seconds

In other bases

ternary (3) 1220012201120

quaternary (4) 3312012012

quinary (5) 224224011

senary (6) 33334410

septenary (7) 11365536

nonary (9) 1805646

undecimal (11) 62936a

duodecimal (12) 407406

tridecimal (13) 293a6c

tetradecimal (14) 1c34c6

pentadecimal (15) 14da06

As an angle

1,008,006° = 2,800 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬八千零六
Chinese (financial): 壹佰萬捌仟零陸

In other modern scripts

Eastern Arabic ١٠٠٨٠٠٦ Devanagari १००८००६ Bengali ১০০৮০০৬ Tamil ௧௦௦௮௦௦௬ Thai ๑๐๐๘๐๐๖ Tibetan ༡༠༠༨༠༠༦ Khmer ១០០៨០០៦ Lao ໑໐໐໘໐໐໖ Burmese ၁၀၀၈၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008006, here are decompositions:

5 + 1008001 = 1008006
29 + 1007977 = 1008006
47 + 1007959 = 1008006
67 + 1007939 = 1008006
73 + 1007933 = 1008006
149 + 1007857 = 1008006
179 + 1007827 = 1008006
193 + 1007813 = 1008006

Showing the first eight; more decompositions exist.

Hex color

#0F6186

RGB(15, 97, 134)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.134.

Address: 0.15.97.134
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.134

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 1,008,006 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 US1,008,006 on Google Patents ↗ Look up on USPTO ↗