Live analysis

1,001,006

1,001,006 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.).

1,001,006 (one million one thousand six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 23 × 47 × 463. Written other ways, in hexadecimal, 0xF462E.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Pernicious Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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 1,001,017 1,001,018

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 6,001,001
Flips to (rotate 180°): 9,001,001
Square (n²): 1,002,013,012,036
Cube (n³): 1,003,021,037,126,108,216
Divisor count: 16
σ(n) — sum of divisors: 1,603,584
φ(n) — Euler's totient: 467,544
Sum of prime factors: 535

Primality

Prime factorization: 2 × 23 × 47 × 463

Nearest primes: 1,001,003 (−3) · 1,001,017 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 23 · 46 · 47 · 94 · 463 · 926 · 1081 · 2162 · 10649 · 21298 · 21761 · 43522 · 500503 (half) · 1001006

Aliquot sum (sum of proper divisors): 602,578

Factor pairs (a × b = 1,001,006)

1 × 1001006

2 × 500503

23 × 43522

46 × 21761

47 × 21298

94 × 10649

463 × 2162

926 × 1081

First multiples

1,001,006 · 2,002,012 (double) · 3,003,018 · 4,004,024 · 5,005,030 · 6,006,036 · 7,007,042 · 8,008,048 · 9,009,054 · 10,010,060

Sums & aliquot sequence

As consecutive integers: 250,250 + 250,251 + 250,252 + 250,253 43,511 + 43,512 + … + 43,533 21,275 + 21,276 + … + 21,321 10,835 + 10,836 + … + 10,926

Aliquot sequence: 1,001,006 → 602,578 → 330,542 → 198,658 → 103,742 → 51,874 → 28,154 → 20,134 → 10,070 → 9,370 → 7,514 → 5,380 → 5,960 → 7,540 → 10,100 → 12,034 → 7,694 — unresolved within range

Continued fraction of √n

√1,001,006 = [1000; (1, 1, 86, 1, 1, 2000)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one million one thousand six
Ordinal: 1001006th
Binary: 11110100011000101110
Octal: 3643056
Hexadecimal: 0xF462E
Base64: D0Yu
One's complement: 4,293,966,289 (32-bit)
Scientific notation: 1.001006 × 10⁶
As a duration: 1,001,006 s = 11 days, 14 hours, 3 minutes, 26 seconds

In other bases

ternary (3) 1212212010022

quaternary (4) 3310120232

quinary (5) 224013011

senary (6) 33242142

septenary (7) 11336246

nonary (9) 1785108

undecimal (11) 624086

duodecimal (12) 403352

tridecimal (13) 290816

tetradecimal (14) 1c0b26

pentadecimal (15) 14b8db

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零六
Chinese (financial): 壹佰萬壹仟零陸

In other modern scripts

Eastern Arabic ١٠٠١٠٠٦ Devanagari १००१००६ Bengali ১০০১০০৬ Tamil ௧௦௦௧௦௦௬ Thai ๑๐๐๑๐๐๖ Tibetan ༡༠༠༡༠༠༦ Khmer ១០០១០០៦ Lao ໑໐໐໑໐໐໖ Burmese ၁၀၀၁၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001006, here are decompositions:

3 + 1001003 = 1001006
7 + 1000999 = 1001006
37 + 1000969 = 1001006
157 + 1000849 = 1001006
229 + 1000777 = 1001006
283 + 1000723 = 1001006
337 + 1000669 = 1001006
367 + 1000639 = 1001006

Showing the first eight; more decompositions exist.

Hex color

#0F462E

RGB(15, 70, 46)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.46.

Address: 0.15.70.46
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.46

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 1,001,006 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 US1,001,006 on Google Patents ↗ Look up on USPTO ↗