Live analysis

1,002,008

1,002,008 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.).

1,002,008 (one million two thousand eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 29 × 617. Its proper divisors sum to 1,222,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A18.

Abundant Number Arithmetic Number Odious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,996 1,001,997 1,001,998 1,001,999 1,002,000 1,002,001 1,002,002 1,002,003 1,002,004 1,002,005 1,002,006 1,002,007 1,002,008 1,002,009 1,002,010 1,002,011 1,002,012 1,002,013 1,002,014 1,002,015 1,002,016 1,002,017 1,002,018 1,002,019 1,002,020

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,002,001
Square (n²): 1,004,020,032,064
Cube (n³): 1,006,036,104,288,384,512
Divisor count: 32
σ(n) — sum of divisors: 2,224,800
φ(n) — Euler's totient: 413,952
Sum of prime factors: 659

Primality

Prime factorization: 2 ³ × 7 × 29 × 617

Nearest primes: 1,001,989 (−19) · 1,002,017 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 29 · 56 · 58 · 116 · 203 · 232 · 406 · 617 · 812 · 1234 · 1624 · 2468 · 4319 · 4936 · 8638 · 17276 · 17893 · 34552 · 35786 · 71572 · 125251 · 143144 · 250502 · 501004 (half) · 1002008

Aliquot sum (sum of proper divisors): 1,222,792

Factor pairs (a × b = 1,002,008)

1 × 1002008

2 × 501004

4 × 250502

7 × 143144

8 × 125251

14 × 71572

28 × 35786

29 × 34552

56 × 17893

58 × 17276

116 × 8638

203 × 4936

232 × 4319

406 × 2468

617 × 1624

812 × 1234

First multiples

1,002,008 · 2,004,016 (double) · 3,006,024 · 4,008,032 · 5,010,040 · 6,012,048 · 7,014,056 · 8,016,064 · 9,018,072 · 10,020,080

Sums & aliquot sequence

As consecutive integers: 143,141 + 143,142 + … + 143,147 62,618 + 62,619 + … + 62,633 34,538 + 34,539 + … + 34,566 8,891 + 8,892 + … + 9,002

Aliquot sequence: 1,002,008 → 1,222,792 → 1,081,748 → 811,318 → 405,662 → 235,858 → 192,686 → 118,618 → 61,094 → 38,914 → 19,460 → 27,580 → 38,948 → 45,724 → 51,044 → 51,100 → 77,364 — unresolved within range

Continued fraction of √n

√1,002,008 = [1001; (286, 2002)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million two thousand eight
Ordinal: 1002008th
Binary: 11110100101000011000
Octal: 3645030
Hexadecimal: 0xF4A18
Base64: D0oY
One's complement: 4,293,965,287 (32-bit)
Scientific notation: 1.002008 × 10⁶
As a duration: 1,002,008 s = 11 days, 14 hours, 20 minutes, 8 seconds

In other bases

ternary (3) 1212220111102

quaternary (4) 3310220120

quinary (5) 224031013

senary (6) 33250532

septenary (7) 11342210

nonary (9) 1786442

undecimal (11) 624907

duodecimal (12) 403a48

tridecimal (13) 291107

tetradecimal (14) 1c1240

pentadecimal (15) 14bd58

As an angle

1,002,008° = 2,783 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零八
Chinese (financial): 壹佰萬貳仟零捌

In other modern scripts

Eastern Arabic ١٠٠٢٠٠٨ Devanagari १००२००८ Bengali ১০০২০০৮ Tamil ௧௦௦௨௦௦௮ Thai ๑๐๐๒๐๐๘ Tibetan ༡༠༠༢༠༠༨ Khmer ១០០២០០៨ Lao ໑໐໐໒໐໐໘ Burmese ၁၀၀၂၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002008, here are decompositions:

19 + 1001989 = 1002008
31 + 1001977 = 1002008
61 + 1001947 = 1002008
67 + 1001941 = 1002008
97 + 1001911 = 1002008
199 + 1001809 = 1002008
211 + 1001797 = 1002008
349 + 1001659 = 1002008

Showing the first eight; more decompositions exist.

Hex color

#0F4A18

RGB(15, 74, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.24.

Address: 0.15.74.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.24

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 1,002,008 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 US1,002,008 on Google Patents ↗ Look up on USPTO ↗