Live analysis

1,007,006

1,007,006 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.).

1,007,006 (one million seven thousand six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 11 × 13 × 503. Its proper divisors sum to 1,025,122, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D9E.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 6,007,001
Square (n²): 1,014,061,084,036
Cube (n³): 1,021,165,595,990,756,216
Divisor count: 32
σ(n) — sum of divisors: 2,032,128
φ(n) — Euler's totient: 361,440
Sum of prime factors: 536

Primality

Prime factorization: 2 × 7 × 11 × 13 × 503

Nearest primes: 1,006,991 (−15) · 1,007,021 (+15)

Divisors & multiples

All divisors (32)

1 · 2 · 7 · 11 · 13 · 14 · 22 · 26 · 77 · 91 · 143 · 154 · 182 · 286 · 503 · 1001 · 1006 · 2002 · 3521 · 5533 · 6539 · 7042 · 11066 · 13078 · 38731 · 45773 · 71929 · 77462 · 91546 · 143858 · 503503 (half) · 1007006

Aliquot sum (sum of proper divisors): 1,025,122

Factor pairs (a × b = 1,007,006)

1 × 1007006

2 × 503503

7 × 143858

11 × 91546

13 × 77462

14 × 71929

22 × 45773

26 × 38731

77 × 13078

91 × 11066

143 × 7042

154 × 6539

182 × 5533

286 × 3521

503 × 2002

1001 × 1006

First multiples

1,007,006 · 2,014,012 (double) · 3,021,018 · 4,028,024 · 5,035,030 · 6,042,036 · 7,049,042 · 8,056,048 · 9,063,054 · 10,070,060

Sums & aliquot sequence

As consecutive integers: 251,750 + 251,751 + 251,752 + 251,753 143,855 + 143,856 + … + 143,861 91,541 + 91,542 + … + 91,551 77,456 + 77,457 + … + 77,468

Aliquot sequence: 1,007,006 → 1,025,122 → 780,638 → 395,482 → 197,744 → 208,480 → 284,432 → 286,588 → 214,948 → 200,852 → 154,048 → 165,992 → 145,258 → 76,502 → 42,298 → 21,152 → 20,554 — unresolved within range

Continued fraction of √n

√1,007,006 = [1003; (2, 79, 1, 3, 1, 1, 5, 3, 32, 17, 1, 2, 1, 2, 2, 1, 1, 1, 1, 90, 1, 1, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand six
Ordinal: 1007006th
Binary: 11110101110110011110
Octal: 3656636
Hexadecimal: 0xF5D9E
Base64: D12e
One's complement: 4,293,960,289 (32-bit)
Scientific notation: 1.007006 × 10⁶
As a duration: 1,007,006 s = 11 days, 15 hours, 43 minutes, 26 seconds

In other bases

ternary (3) 1220011100112

quaternary (4) 3311312132

quinary (5) 224211011

senary (6) 33330022

septenary (7) 11362610

nonary (9) 1804315

undecimal (11) 628640

duodecimal (12) 406912

tridecimal (13) 293480

tetradecimal (14) 1c2db0

pentadecimal (15) 14d58b

As an angle

1,007,006° = 2,797 × 360° + 86°

86° ≈ 1.501 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千零六
Chinese (financial): 壹佰萬柒仟零陸

In other modern scripts

Eastern Arabic ١٠٠٧٠٠٦ Devanagari १००७००६ Bengali ১০০৭০০৬ Tamil ௧௦௦௭௦௦௬ Thai ๑๐๐๗๐๐๖ Tibetan ༡༠༠༧༠༠༦ Khmer ១០០៧០០៦ Lao ໑໐໐໗໐໐໖ Burmese ၁၀၀၇၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007006, here are decompositions:

19 + 1006987 = 1007006
37 + 1006969 = 1007006
73 + 1006933 = 1007006
109 + 1006897 = 1007006
127 + 1006879 = 1007006
223 + 1006783 = 1007006
373 + 1006633 = 1007006
397 + 1006609 = 1007006

Showing the first eight; more decompositions exist.

Hex color

#0F5D9E

RGB(15, 93, 158)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.158.

Address: 0.15.93.158
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.158

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 1,007,006 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 US1,007,006 on Google Patents ↗ Look up on USPTO ↗