Live analysis

1,005,004

1,005,004 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.).

1,005,004 (one million five thousand four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 7 × 11 × 13 × 251. Its proper divisors sum to 1,365,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF55CC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,005,001
Square (n²): 1,010,033,040,016
Cube (n³): 1,015,087,245,348,240,064
Divisor count: 48
σ(n) — sum of divisors: 2,370,816
φ(n) — Euler's totient: 360,000
Sum of prime factors: 286

Primality

Prime factorization: 2 ² × 7 × 11 × 13 × 251

Nearest primes: 1,004,987 (−17) · 1,005,007 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 7 · 11 · 13 · 14 · 22 · 26 · 28 · 44 · 52 · 77 · 91 · 143 · 154 · 182 · 251 · 286 · 308 · 364 · 502 · 572 · 1001 · 1004 · 1757 · 2002 · 2761 · 3263 · 3514 · 4004 · 5522 · 6526 · 7028 · 11044 · 13052 · 19327 · 22841 · 35893 · 38654 · 45682 · 71786 · 77308 · 91364 · 143572 · 251251 · 502502 (half) · 1005004

Aliquot sum (sum of proper divisors): 1,365,812

Factor pairs (a × b = 1,005,004)

1 × 1005004

2 × 502502

4 × 251251

7 × 143572

11 × 91364

13 × 77308

14 × 71786

22 × 45682

26 × 38654

28 × 35893

44 × 22841

52 × 19327

77 × 13052

91 × 11044

143 × 7028

154 × 6526

182 × 5522

251 × 4004

286 × 3514

308 × 3263

364 × 2761

502 × 2002

572 × 1757

1001 × 1004

First multiples

1,005,004 · 2,010,008 (double) · 3,015,012 · 4,020,016 · 5,025,020 · 6,030,024 · 7,035,028 · 8,040,032 · 9,045,036 · 10,050,040

Sums & aliquot sequence

As consecutive integers: 143,569 + 143,570 + … + 143,575 125,622 + 125,623 + … + 125,629 91,359 + 91,360 + … + 91,369 77,302 + 77,303 + … + 77,314

Aliquot sequence: 1,005,004 → 1,365,812 → 1,365,868 → 1,365,924 → 2,541,084 → 4,837,476 → 9,015,804 → 18,993,996 → 38,780,084 → 38,780,140 → 61,213,460 → 99,058,540 → 138,682,292 → 169,765,708 → 170,518,964 → 217,714,252 → 240,784,628 — unresolved within range

Continued fraction of √n

√1,005,004 = [1002; (2, 222, 3, 1, 1, 1, 1, 24, 7, 22, 1, 1, 1, 3, 1, 5, 2, 2, 14, 55, 1, 1, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million five thousand four
Ordinal: 1005004th
Binary: 11110101010111001100
Octal: 3652714
Hexadecimal: 0xF55CC
Base64: D1XM
One's complement: 4,293,962,291 (32-bit)
Scientific notation: 1.005004 × 10⁶
As a duration: 1,005,004 s = 11 days, 15 hours, 10 minutes, 4 seconds

In other bases

ternary (3) 1220001121101

quaternary (4) 3311113030

quinary (5) 224130004

senary (6) 33312444

septenary (7) 11354020

nonary (9) 1801541

undecimal (11) 627090

duodecimal (12) 405724

tridecimal (13) 2925a0

tetradecimal (14) 1c2380

pentadecimal (15) 14cba4

As an angle

1,005,004° = 2,791 × 360° + 244°

244° ≈ 4.259 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百萬五千零四
Chinese (financial): 壹佰萬伍仟零肆

In other modern scripts

Eastern Arabic ١٠٠٥٠٠٤ Devanagari १००५००४ Bengali ১০০৫০০৪ Tamil ௧௦௦௫௦௦௪ Thai ๑๐๐๕๐๐๔ Tibetan ༡༠༠༥༠༠༤ Khmer ១០០៥០០៤ Lao ໑໐໐໕໐໐໔ Burmese ၁၀၀၅၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005004, here are decompositions:

17 + 1004987 = 1005004
23 + 1004981 = 1005004
41 + 1004963 = 1005004
101 + 1004903 = 1005004
131 + 1004873 = 1005004
257 + 1004747 = 1005004
281 + 1004723 = 1005004
317 + 1004687 = 1005004

Showing the first eight; more decompositions exist.

Hex color

#0F55CC

RGB(15, 85, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.204.

Address: 0.15.85.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.204

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 1,005,004 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 US1,005,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1005004 first appears in π at position 709,899 of the decimal expansion (the 709,899ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1005004 on Pi Search ↗