Live analysis

1,004,000

1,004,000 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.).

1,004,000 (one million four thousand) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5³ × 251. Its proper divisors sum to 1,472,656, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51E0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,988 1,003,989 1,003,990 1,003,991 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,001
Square (n²): 1,008,016,000,000
Cube (n³): 1,012,048,064,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 2,476,656
φ(n) — Euler's totient: 400,000
Sum of prime factors: 276

Primality

Prime factorization: 2 ⁵ × 5 ³ × 251

Nearest primes: 1,003,963 (−37) · 1,004,027 (+27)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 125 · 160 · 200 · 250 · 251 · 400 · 500 · 502 · 800 · 1000 · 1004 · 1255 · 2000 · 2008 · 2510 · 4000 · 4016 · 5020 · 6275 · 8032 · 10040 · 12550 · 20080 · 25100 · 31375 · 40160 · 50200 · 62750 · 100400 · 125500 · 200800 · 251000 · 502000 (half) · 1004000

Aliquot sum (sum of proper divisors): 1,472,656

Factor pairs (a × b = 1,004,000)

1 × 1004000

2 × 502000

4 × 251000

5 × 200800

8 × 125500

10 × 100400

16 × 62750

20 × 50200

25 × 40160

32 × 31375

40 × 25100

50 × 20080

80 × 12550

100 × 10040

125 × 8032

160 × 6275

200 × 5020

250 × 4016

251 × 4000

400 × 2510

500 × 2008

502 × 2000

800 × 1255

1000 × 1004

First multiples

1,004,000 · 2,008,000 (double) · 3,012,000 · 4,016,000 · 5,020,000 · 6,024,000 · 7,028,000 · 8,032,000 · 9,036,000 · 10,040,000

Sums & aliquot sequence

As consecutive integers: 200,798 + 200,799 + 200,800 + 200,801 + 200,802 40,148 + 40,149 + … + 40,172 15,656 + 15,657 + … + 15,719 7,970 + 7,971 + … + 8,094

Aliquot sequence: 1,004,000 → 1,472,656 → 1,380,646 → 690,326 → 584,458 → 429,302 → 214,654 → 139,658 → 69,832 → 88,568 → 77,512 → 67,838 → 35,194 → 17,600 → 29,644 → 22,240 → 30,680 — unresolved within range

Continued fraction of √n

√1,004,000 = [1001; (1, 499, 1, 2002)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million four thousand
Ordinal: 1004000th
Binary: 11110101000111100000
Octal: 3650740
Hexadecimal: 0xF51E0
Base64: D1Hg
One's complement: 4,293,963,295 (32-bit)
Scientific notation: 1.004 × 10⁶
As a duration: 1,004,000 s = 11 days, 14 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 1220000020012

quaternary (4) 3311013200

quinary (5) 224112000

senary (6) 33304052

septenary (7) 11351054

nonary (9) 1800205

undecimal (11) 626358

duodecimal (12) 405028

tridecimal (13) 291caa

tetradecimal (14) 1c1c64

pentadecimal (15) 14c735

As an angle

1,004,000° = 2,788 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼
Chinese: 一百萬四千
Chinese (financial): 壹佰萬肆仟

In other modern scripts

Eastern Arabic ١٠٠٤٠٠٠ Devanagari १००४००० Bengali ১০০৪০০০ Tamil ௧௦௦௪௦௦௦ Thai ๑๐๐๔๐๐๐ Tibetan ༡༠༠༤༠༠༠ Khmer ១០០៤០០០ Lao ໑໐໐໔໐໐໐ Burmese ၁၀၀၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004000, here are decompositions:

37 + 1003963 = 1004000
43 + 1003957 = 1004000
103 + 1003897 = 1004000
181 + 1003819 = 1004000
229 + 1003771 = 1004000
271 + 1003729 = 1004000
307 + 1003693 = 1004000
373 + 1003627 = 1004000

Showing the first eight; more decompositions exist.

Hex color

#0F51E0

RGB(15, 81, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.224.

Address: 0.15.81.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.224

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 1,004,000 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 US1,004,000 on Google Patents ↗ Look up on USPTO ↗