Live analysis

1,004,004

1,004,004 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.).

1,004,004 (one million four thousand four) is an even 7-digit number. It is a composite number with 27 divisors, and factors as 2² × 3² × 167². Its proper divisors sum to 1,549,183, more than the number itself, making it an abundant number. It is a perfect square (1,002²). Written other ways, in hexadecimal, 0xF51E4.

Abundant Number Cube-Free Harshad / Niven Odious Number Perfect Square Pernicious Number Powerful Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,992 1,003,993 1,003,994 1,003,995 1,003,996 1,003,997 1,003,998 1,003,999 1,004,000 1,004,001 1,004,002 1,004,003 1,004,004 1,004,005 1,004,006 1,004,007 1,004,008 1,004,009 1,004,010 1,004,011 1,004,012 1,004,013 1,004,014 1,004,015 1,004,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,004,001
Square (n²): 1,008,024,032,016
Cube (n³): 1,012,060,160,240,192,064
Square root (√n): 1,002
Divisor count: 27
σ(n) — sum of divisors: 2,553,187
φ(n) — Euler's totient: 332,664
Sum of prime factors: 344

Primality

Prime factorization: 2 ² × 3 ² × 167 ²

Nearest primes: 1,003,963 (−41) · 1,004,027 (+23)

Divisors & multiples

All divisors (27)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 167 · 334 · 501 · 668 · 1002 · 1503 · 2004 · 3006 · 6012 · 27889 · 55778 · 83667 · 111556 · 167334 · 251001 · 334668 · 502002 (half) · 1004004

Aliquot sum (sum of proper divisors): 1,549,183

Factor pairs (a × b = 1,004,004)

1 × 1004004

2 × 502002

3 × 334668

4 × 251001

6 × 167334

9 × 111556

12 × 83667

18 × 55778

36 × 27889

167 × 6012

334 × 3006

501 × 2004

668 × 1503

1002 × 1002

First multiples

1,004,004 · 2,008,008 (double) · 3,012,012 · 4,016,016 · 5,020,020 · 6,024,024 · 7,028,028 · 8,032,032 · 9,036,036 · 10,040,040

Sums & aliquot sequence

As a sum of two squares: 0² + 1,002²

As consecutive integers: 334,667 + 334,668 + 334,669 125,497 + 125,498 + … + 125,504 111,552 + 111,553 + … + 111,560 41,822 + 41,823 + … + 41,845

Aliquot sequence: 1,004,004 → 1,549,183 → 1 → 0 — terminates at zero

Representations

In words: one million four thousand four
Ordinal: 1004004th
Binary: 11110101000111100100
Octal: 3650744
Hexadecimal: 0xF51E4
Base64: D1Hk
One's complement: 4,293,963,291 (32-bit)
Scientific notation: 1.004004 × 10⁶
As a duration: 1,004,004 s = 11 days, 14 hours, 53 minutes, 24 seconds

In other bases

ternary (3) 1220000020100

quaternary (4) 3311013210

quinary (5) 224112004

senary (6) 33304100

septenary (7) 11351061

nonary (9) 1800210

undecimal (11) 626361

duodecimal (12) 405030

tridecimal (13) 291cb1

tetradecimal (14) 1c1c68

pentadecimal (15) 14c739

As an angle

1,004,004° = 2,788 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百萬四千零四
Chinese (financial): 壹佰萬肆仟零肆

In other modern scripts

Eastern Arabic ١٠٠٤٠٠٤ Devanagari १००४००४ Bengali ১০০৪০০৪ Tamil ௧௦௦௪௦௦௪ Thai ๑๐๐๔๐๐๔ Tibetan ༡༠༠༤༠༠༤ Khmer ១០០៤០០៤ Lao ໑໐໐໔໐໐໔ Burmese ၁၀၀၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004004, here are decompositions:

41 + 1003963 = 1004004
47 + 1003957 = 1004004
61 + 1003943 = 1004004
73 + 1003931 = 1004004
97 + 1003907 = 1004004
107 + 1003897 = 1004004
163 + 1003841 = 1004004
233 + 1003771 = 1004004

Showing the first eight; more decompositions exist.

Hex color

#0F51E4

RGB(15, 81, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.228.

Address: 0.15.81.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.228

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