Live analysis

1,050,006

1,050,006 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.).

1,050,006 (one million fifty thousand six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 139 × 1,259. Its proper divisors sum to 1,066,794, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100596.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,049,994 1,049,995 1,049,996 1,049,997 1,049,998 1,049,999 1,050,000 1,050,001 1,050,002 1,050,003 1,050,004 1,050,005 1,050,006 1,050,007 1,050,008 1,050,009 1,050,010 1,050,011 1,050,012 1,050,013 1,050,014 1,050,015 1,050,016 1,050,017 1,050,018

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 21 bits
Reversed: 6,000,501
Square (n²): 1,102,512,600,036
Cube (n³): 1,157,644,845,113,400,216
Divisor count: 16
σ(n) — sum of divisors: 2,116,800
φ(n) — Euler's totient: 347,208
Sum of prime factors: 1,403

Primality

Prime factorization: 2 × 3 × 139 × 1259

Nearest primes: 1,049,999 (−7) · 1,050,011 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 139 · 278 · 417 · 834 · 1259 · 2518 · 3777 · 7554 · 175001 · 350002 · 525003 (half) · 1050006

Aliquot sum (sum of proper divisors): 1,066,794

Factor pairs (a × b = 1,050,006)

1 × 1050006

2 × 525003

3 × 350002

6 × 175001

139 × 7554

278 × 3777

417 × 2518

834 × 1259

First multiples

1,050,006 · 2,100,012 (double) · 3,150,018 · 4,200,024 · 5,250,030 · 6,300,036 · 7,350,042 · 8,400,048 · 9,450,054 · 10,500,060

Sums & aliquot sequence

As consecutive integers: 350,001 + 350,002 + 350,003 262,500 + 262,501 + 262,502 + 262,503 87,495 + 87,496 + … + 87,506 7,485 + 7,486 + … + 7,623

Aliquot sequence: 1,050,006 → 1,066,794 → 1,140,726 → 1,140,738 → 1,214,718 → 1,357,842 → 1,357,854 → 1,577,826 → 1,993,374 → 2,401,146 → 3,390,822 → 4,229,154 → 5,130,846 → 7,883,298 → 9,635,262 → 14,515,410 → 28,701,870 — unresolved within range

Continued fraction of √n

√1,050,006 = [1024; (1, 2, 3, 4, 1, 2, 2, 5, 2, 1, 6, 1, 2, 5, 2, 2, 1, 4, 3, 2, 1, 2048)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one million fifty thousand six
Ordinal: 1050006th
Binary: 100000000010110010110
Octal: 4002626
Hexadecimal: 0x100596
Base64: EAWW
One's complement: 4,293,917,289 (32-bit)
Scientific notation: 1.050006 × 10⁶
As a duration: 1,050,006 s = 12 days, 3 hours, 40 minutes, 6 seconds

In other bases

ternary (3) 1222100100010

quaternary (4) 10000112112

quinary (5) 232100011

senary (6) 34301050

septenary (7) 11632146

nonary (9) 1870303

undecimal (11) 657981

duodecimal (12) 427786

tridecimal (13) 2a9c09

tetradecimal (14) 1d4926

pentadecimal (15) 15b1a6

As an angle

1,050,006° = 2,916 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零五萬零六
Chinese (financial): 壹佰零伍萬零陸

In other modern scripts

Eastern Arabic ١٠٥٠٠٠٦ Devanagari १०५०००६ Bengali ১০৫০০০৬ Tamil ௧௦௫௦௦௦௬ Thai ๑๐๕๐๐๐๖ Tibetan ༡༠༥༠༠༠༦ Khmer ១០៥០០០៦ Lao ໑໐໕໐໐໐໖ Burmese ၁၀၅၀၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050006, here are decompositions:

7 + 1049999 = 1050006
29 + 1049977 = 1050006
43 + 1049963 = 1050006
53 + 1049953 = 1050006
107 + 1049899 = 1050006
109 + 1049897 = 1050006
149 + 1049857 = 1050006
157 + 1049849 = 1050006

Showing the first eight; more decompositions exist.

Hex color

#100596

RGB(16, 5, 150)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.5.150.

Address: 0.16.5.150
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.5.150

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 0006 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0006-05-01 (DMMYYYY (Euro, single-digit day))
0006-10-05 (MMDYYYY (US, single-digit day))
0006-05-10 (DDMYYYY (Euro, single-digit month))

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 1,050,006 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,050,006 on Google Patents ↗ Look up on USPTO ↗