Live analysis

1,007,004

1,007,004 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.).

1,007,004 (one million seven thousand four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 31 × 2,707. Its proper divisors sum to 1,419,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D9C.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,992 1,006,993 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,007,001
Square (n²): 1,014,057,056,016
Cube (n³): 1,021,159,511,636,336,064
Divisor count: 24
σ(n) — sum of divisors: 2,426,368
φ(n) — Euler's totient: 324,720
Sum of prime factors: 2,745

Primality

Prime factorization: 2 ² × 3 × 31 × 2707

Nearest primes: 1,006,991 (−13) · 1,007,021 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 31 · 62 · 93 · 124 · 186 · 372 · 2707 · 5414 · 8121 · 10828 · 16242 · 32484 · 83917 · 167834 · 251751 · 335668 · 503502 (half) · 1007004

Aliquot sum (sum of proper divisors): 1,419,364

Factor pairs (a × b = 1,007,004)

1 × 1007004

2 × 503502

3 × 335668

4 × 251751

6 × 167834

12 × 83917

31 × 32484

62 × 16242

93 × 10828

124 × 8121

186 × 5414

372 × 2707

First multiples

1,007,004 · 2,014,008 (double) · 3,021,012 · 4,028,016 · 5,035,020 · 6,042,024 · 7,049,028 · 8,056,032 · 9,063,036 · 10,070,040

Sums & aliquot sequence

As consecutive integers: 335,667 + 335,668 + 335,669 125,872 + 125,873 + … + 125,879 41,947 + 41,948 + … + 41,970 32,469 + 32,470 + … + 32,499

Aliquot sequence: 1,007,004 → 1,419,364 → 1,210,760 → 1,513,540 → 2,316,860 → 4,080,580 → 5,713,148 → 6,315,652 → 6,387,388 → 6,477,604 → 6,709,346 → 4,792,414 → 3,303,842 → 1,651,924 → 1,421,146 → 710,576 → 684,424 — unresolved within range

Continued fraction of √n

√1,007,004 = [1003; (2, 60, 3, 6, 1, 15, 1, 2, 1, 1, 1, 1, 2, 1, 7, 3, 1, 1, 1, 49, 1, 1, 6, 5, …)]

Representations

In words: one million seven thousand four
Ordinal: 1007004th
Binary: 11110101110110011100
Octal: 3656634
Hexadecimal: 0xF5D9C
Base64: D12c
One's complement: 4,293,960,291 (32-bit)
Scientific notation: 1.007004 × 10⁶
As a duration: 1,007,004 s = 11 days, 15 hours, 43 minutes, 24 seconds

In other bases

ternary (3) 1220011100110

quaternary (4) 3311312130

quinary (5) 224211004

senary (6) 33330020

septenary (7) 11362605

nonary (9) 1804313

undecimal (11) 628639

duodecimal (12) 406910

tridecimal (13) 29347b

tetradecimal (14) 1c2dac

pentadecimal (15) 14d589

As an angle

1,007,004° = 2,797 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百萬七千零四
Chinese (financial): 壹佰萬柒仟零肆

In other modern scripts

Eastern Arabic ١٠٠٧٠٠٤ Devanagari १००७००४ Bengali ১০০৭০০৪ Tamil ௧௦௦௭௦௦௪ Thai ๑๐๐๗๐๐๔ Tibetan ༡༠༠༧༠༠༤ Khmer ១០០៧០០៤ Lao ໑໐໐໗໐໐໔ Burmese ၁၀၀၇၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007004, here are decompositions:

13 + 1006991 = 1007004
17 + 1006987 = 1007004
67 + 1006937 = 1007004
71 + 1006933 = 1007004
107 + 1006897 = 1007004
113 + 1006891 = 1007004
127 + 1006877 = 1007004
151 + 1006853 = 1007004

Showing the first eight; more decompositions exist.

Hex color

#0F5D9C

RGB(15, 93, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.156.

Address: 0.15.93.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.156

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 1,007,004 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 US1,007,004 on Google Patents ↗ Look up on USPTO ↗