Live analysis

1,002,006

1,002,006 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.).

1,002,006 (one million two thousand six) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 55,667. Its proper divisors sum to 1,169,046, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A16.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,994 1,001,995 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,002,001
Square (n²): 1,004,016,024,036
Cube (n³): 1,006,030,080,180,216,216
Divisor count: 12
σ(n) — sum of divisors: 2,171,052
φ(n) — Euler's totient: 333,996
Sum of prime factors: 55,675

Primality

Prime factorization: 2 × 3 ² × 55667

Nearest primes: 1,001,989 (−17) · 1,002,017 (+11)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 55667 · 111334 · 167001 · 334002 · 501003 (half) · 1002006

Aliquot sum (sum of proper divisors): 1,169,046

Factor pairs (a × b = 1,002,006)

1 × 1002006

2 × 501003

3 × 334002

6 × 167001

9 × 111334

18 × 55667

First multiples

1,002,006 · 2,004,012 (double) · 3,006,018 · 4,008,024 · 5,010,030 · 6,012,036 · 7,014,042 · 8,016,048 · 9,018,054 · 10,020,060

Sums & aliquot sequence

As consecutive integers: 334,001 + 334,002 + 334,003 250,500 + 250,501 + 250,502 + 250,503 111,330 + 111,331 + … + 111,338 83,495 + 83,496 + … + 83,506

Aliquot sequence: 1,002,006 → 1,169,046 → 1,428,954 → 1,428,966 → 2,434,842 → 3,279,438 → 4,408,242 → 4,408,254 → 5,402,586 → 7,015,974 → 9,020,634 → 11,688,102 → 14,510,538 → 21,420,630 → 48,790,602 → 72,024,534 → 84,437,226 — unresolved within range

Continued fraction of √n

√1,002,006 = [1001; (400, 2, 2, 79, 1, 2, 7, 1, 15, 7, 2, 1, 5, 3, 36, 1, 3, 6, 2, 6, 1, 19, 1, 3, …)]

Representations

In words: one million two thousand six
Ordinal: 1002006th
Binary: 11110100101000010110
Octal: 3645026
Hexadecimal: 0xF4A16
Base64: D0oW
One's complement: 4,293,965,289 (32-bit)
Scientific notation: 1.002006 × 10⁶
As a duration: 1,002,006 s = 11 days, 14 hours, 20 minutes, 6 seconds

In other bases

ternary (3) 1212220111100

quaternary (4) 3310220112

quinary (5) 224031011

senary (6) 33250530

septenary (7) 11342205

nonary (9) 1786440

undecimal (11) 624905

duodecimal (12) 403a46

tridecimal (13) 291105

tetradecimal (14) 1c123c

pentadecimal (15) 14bd56

As an angle

1,002,006° = 2,783 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零六
Chinese (financial): 壹佰萬貳仟零陸

In other modern scripts

Eastern Arabic ١٠٠٢٠٠٦ Devanagari १००२००६ Bengali ১০০২০০৬ Tamil ௧௦௦௨௦௦௬ Thai ๑๐๐๒๐๐๖ Tibetan ༡༠༠༢༠༠༦ Khmer ១០០២០០៦ Lao ໑໐໐໒໐໐໖ Burmese ၁၀၀၂၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002006, here are decompositions:

17 + 1001989 = 1002006
23 + 1001983 = 1002006
29 + 1001977 = 1002006
53 + 1001953 = 1002006
59 + 1001947 = 1002006
73 + 1001933 = 1002006
167 + 1001839 = 1002006
197 + 1001809 = 1002006

Showing the first eight; more decompositions exist.

Hex color

#0F4A16

RGB(15, 74, 22)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.22.

Address: 0.15.74.22
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.22

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 1,002,006 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 US1,002,006 on Google Patents ↗ Look up on USPTO ↗