Live analysis

1,047,004

1,047,004 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.).

1,047,004 (one million forty-seven thousand four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 61 × 613. Its proper divisors sum to 1,084,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF9DC.

Abundant Number Cube-Free Gapful Number Happy Number Odious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,046,992 1,046,993 1,046,994 1,046,995 1,046,996 1,046,997 1,046,998 1,046,999 1,047,000 1,047,001 1,047,002 1,047,003 1,047,004 1,047,005 1,047,006 1,047,007 1,047,008 1,047,009 1,047,010 1,047,011 1,047,012 1,047,013 1,047,014 1,047,015 1,047,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,007,401
Square (n²): 1,096,217,376,016
Cube (n³): 1,147,743,977,558,256,064
Divisor count: 24
σ(n) — sum of divisors: 2,131,808
φ(n) — Euler's totient: 440,640
Sum of prime factors: 685

Primality

Prime factorization: 2 ² × 7 × 61 × 613

Nearest primes: 1,046,999 (−5) · 1,047,031 (+27)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 61 · 122 · 244 · 427 · 613 · 854 · 1226 · 1708 · 2452 · 4291 · 8582 · 17164 · 37393 · 74786 · 149572 · 261751 · 523502 (half) · 1047004

Aliquot sum (sum of proper divisors): 1,084,804

Factor pairs (a × b = 1,047,004)

1 × 1047004

2 × 523502

4 × 261751

7 × 149572

14 × 74786

28 × 37393

61 × 17164

122 × 8582

244 × 4291

427 × 2452

613 × 1708

854 × 1226

First multiples

1,047,004 · 2,094,008 (double) · 3,141,012 · 4,188,016 · 5,235,020 · 6,282,024 · 7,329,028 · 8,376,032 · 9,423,036 · 10,470,040

Sums & aliquot sequence

As consecutive integers: 149,569 + 149,570 + … + 149,575 130,872 + 130,873 + … + 130,879 18,669 + 18,670 + … + 18,724 17,134 + 17,135 + … + 17,194

Aliquot sequence: 1,047,004 → 1,084,804 → 1,310,204 → 1,350,244 → 1,431,983 → 257,617 → 3,603 → 1,205 → 247 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,047,004 = [1023; (4, 3, 4, 35, 1, 2, 26, 1, 18, 1, 9, 1, 1, 5, 12, 13, 1, 1, 1, 7, 4, 1, 2, 2, …)]

Representations

In words: one million forty-seven thousand four
Ordinal: 1047004th
Binary: 11111111100111011100
Octal: 3774734
Hexadecimal: 0xFF9DC
Base64: D/nc
One's complement: 4,293,920,291 (32-bit)
Scientific notation: 1.047004 × 10⁶
As a duration: 1,047,004 s = 12 days, 2 hours, 50 minutes, 4 seconds

In other bases

ternary (3) 1222012012221

quaternary (4) 3333213130

quinary (5) 232001004

senary (6) 34235124

septenary (7) 11620330

nonary (9) 1865187

undecimal (11) 6556a2

duodecimal (12) 425aa4

tridecimal (13) 2a873a

tetradecimal (14) 1d37c0

pentadecimal (15) 15a354

As an angle

1,047,004° = 2,908 × 360° + 124°

124° ≈ 2.164 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百零四萬七千零四
Chinese (financial): 壹佰零肆萬柒仟零肆

In other modern scripts

Eastern Arabic ١٠٤٧٠٠٤ Devanagari १०४७००४ Bengali ১০৪৭০০৪ Tamil ௧௦௪௭௦௦௪ Thai ๑๐๔๗๐๐๔ Tibetan ༡༠༤༧༠༠༤ Khmer ១០៤៧០០៤ Lao ໑໐໔໗໐໐໔ Burmese ၁၀၄၇၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1047004, here are decompositions:

5 + 1046999 = 1047004
11 + 1046993 = 1047004
53 + 1046951 = 1047004
71 + 1046933 = 1047004
107 + 1046897 = 1047004
137 + 1046867 = 1047004
197 + 1046807 = 1047004
293 + 1046711 = 1047004

Showing the first eight; more decompositions exist.

Hex color

#0FF9DC

RGB(15, 249, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.249.220.

Address: 0.15.249.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.249.220

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 7004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7004-04-01 (DMMYYYY (Euro, single-digit day))
7004-10-04 (MMDYYYY (US, single-digit day))
7004-04-10 (DDMYYYY (Euro, single-digit month))

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 1,047,004 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,047,004 on Google Patents ↗ Look up on USPTO ↗