Live analysis

1,001,004

1,001,004 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.).

1,001,004 (one million one thousand four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,417. Its proper divisors sum to 1,334,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF462C.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,001,001
Square (n²): 1,002,009,008,016
Cube (n³): 1,003,015,025,060,048,064
Divisor count: 12
σ(n) — sum of divisors: 2,335,704
φ(n) — Euler's totient: 333,664
Sum of prime factors: 83,424

Primality

Prime factorization: 2 ² × 3 × 83417

Nearest primes: 1,001,003 (−1) · 1,001,017 (+13)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83417 · 166834 · 250251 · 333668 · 500502 (half) · 1001004

Aliquot sum (sum of proper divisors): 1,334,700

Factor pairs (a × b = 1,001,004)

1 × 1001004

2 × 500502

3 × 333668

4 × 250251

6 × 166834

12 × 83417

First multiples

1,001,004 · 2,002,008 (double) · 3,003,012 · 4,004,016 · 5,005,020 · 6,006,024 · 7,007,028 · 8,008,032 · 9,009,036 · 10,010,040

Sums & aliquot sequence

As consecutive integers: 333,667 + 333,668 + 333,669 125,122 + 125,123 + … + 125,129 41,697 + 41,698 + … + 41,720

Aliquot sequence: 1,001,004 → 1,334,700 → 2,851,664 → 2,823,940 → 4,256,252 → 5,753,860 → 8,269,436 → 9,120,580 → 12,769,148 → 14,239,876 → 14,239,932 → 23,733,444 → 41,332,284 → 80,209,500 → 186,762,660 → 419,392,092 → 783,111,588 — unresolved within range

Continued fraction of √n

√1,001,004 = [1000; (1, 1, 132, 1, 9, 79, 1, 15, 1, 2, 4, 1, 249, 3, 5, 16, 2, 19, 1, 1, 9, 2, 32, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million one thousand four
Ordinal: 1001004th
Binary: 11110100011000101100
Octal: 3643054
Hexadecimal: 0xF462C
Base64: D0Ys
One's complement: 4,293,966,291 (32-bit)
Scientific notation: 1.001004 × 10⁶
As a duration: 1,001,004 s = 11 days, 14 hours, 3 minutes, 24 seconds

In other bases

ternary (3) 1212212010020

quaternary (4) 3310120230

quinary (5) 224013004

senary (6) 33242140

septenary (7) 11336244

nonary (9) 1785106

undecimal (11) 624084

duodecimal (12) 403350

tridecimal (13) 290814

tetradecimal (14) 1c0b24

pentadecimal (15) 14b8d9

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零四
Chinese (financial): 壹佰萬壹仟零肆

In other modern scripts

Eastern Arabic ١٠٠١٠٠٤ Devanagari १००१००४ Bengali ১০০১০০৪ Tamil ௧௦௦௧௦௦௪ Thai ๑๐๐๑๐๐๔ Tibetan ༡༠༠༡༠༠༤ Khmer ១០០១០០៤ Lao ໑໐໐໑໐໐໔ Burmese ၁၀၀၁၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001004, here are decompositions:

5 + 1000999 = 1001004
23 + 1000981 = 1001004
31 + 1000973 = 1001004
73 + 1000931 = 1001004
83 + 1000921 = 1001004
97 + 1000907 = 1001004
157 + 1000847 = 1001004
211 + 1000793 = 1001004

Showing the first eight; more decompositions exist.

Hex color

#0F462C

RGB(15, 70, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.44.

Address: 0.15.70.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.44

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 1,001,004 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 US1,001,004 on Google Patents ↗ Look up on USPTO ↗