Live analysis

1,020,006

1,020,006 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.).

1,020,006 (one million twenty thousand six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 13 × 1,453. Its proper divisors sum to 1,422,714, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9066.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,019,994 1,019,995 1,019,996 1,019,997 1,019,998 1,019,999 1,020,000 1,020,001 1,020,002 1,020,003 1,020,004 1,020,005 1,020,006 1,020,007 1,020,008 1,020,009 1,020,010 1,020,011 1,020,012 1,020,013 1,020,014 1,020,015 1,020,016 1,020,017 1,020,018

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,000,201
Square (n²): 1,040,412,240,036
Cube (n³): 1,061,226,727,310,160,216
Divisor count: 32
σ(n) — sum of divisors: 2,442,720
φ(n) — Euler's totient: 313,632
Sum of prime factors: 1,477

Primality

Prime factorization: 2 × 3 ³ × 13 × 1453

Nearest primes: 1,020,001 (−5) · 1,020,007 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 27 · 39 · 54 · 78 · 117 · 234 · 351 · 702 · 1453 · 2906 · 4359 · 8718 · 13077 · 18889 · 26154 · 37778 · 39231 · 56667 · 78462 · 113334 · 170001 · 340002 · 510003 (half) · 1020006

Aliquot sum (sum of proper divisors): 1,422,714

Factor pairs (a × b = 1,020,006)

1 × 1020006

2 × 510003

3 × 340002

6 × 170001

9 × 113334

13 × 78462

18 × 56667

26 × 39231

27 × 37778

39 × 26154

54 × 18889

78 × 13077

117 × 8718

234 × 4359

351 × 2906

702 × 1453

First multiples

1,020,006 · 2,040,012 (double) · 3,060,018 · 4,080,024 · 5,100,030 · 6,120,036 · 7,140,042 · 8,160,048 · 9,180,054 · 10,200,060

Sums & aliquot sequence

As consecutive integers: 340,001 + 340,002 + 340,003 255,000 + 255,001 + 255,002 + 255,003 113,330 + 113,331 + … + 113,338 84,995 + 84,996 + … + 85,006

Aliquot sequence: 1,020,006 → 1,422,714 → 1,514,886 → 1,514,898 → 2,581,038 → 3,154,722 → 3,487,038 → 3,487,050 → 7,887,222 → 11,643,354 → 13,932,378 → 17,560,422 → 29,717,658 → 36,551,142 → 44,872,218 → 60,055,110 → 98,662,410 — unresolved within range

Continued fraction of √n

√1,020,006 = [1009; (1, 20, 2, 21, 1, 21, 4, 6, 1, 8, 8, 1, 2, 40, 1, 7, 9, 1, 1, 1, 2, 1, 1, 2, …)]

Representations

In words: one million twenty thousand six
Ordinal: 1020006th
Binary: 11111001000001100110
Octal: 3710146
Hexadecimal: 0xF9066
Base64: D5Bm
One's complement: 4,293,947,289 (32-bit)
Scientific notation: 1.020006 × 10⁶
As a duration: 1,020,006 s = 11 days, 19 hours, 20 minutes, 6 seconds

In other bases

ternary (3) 1220211012000

quaternary (4) 3321001212

quinary (5) 230120011

senary (6) 33510130

septenary (7) 11445531

nonary (9) 1824160

undecimal (11) 637389

duodecimal (12) 412346

tridecimal (13) 299370

tetradecimal (14) 1c7a18

pentadecimal (15) 152356

As an angle

1,020,006° = 2,833 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零二萬零六
Chinese (financial): 壹佰零貳萬零陸

In other modern scripts

Eastern Arabic ١٠٢٠٠٠٦ Devanagari १०२०००६ Bengali ১০২০০০৬ Tamil ௧௦௨௦௦௦௬ Thai ๑๐๒๐๐๐๖ Tibetan ༡༠༢༠༠༠༦ Khmer ១០២០០០៦ Lao ໑໐໒໐໐໐໖ Burmese ၁၀၂၀၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020006, here are decompositions:

5 + 1020001 = 1020006
79 + 1019927 = 1020006
103 + 1019903 = 1020006
107 + 1019899 = 1020006
149 + 1019857 = 1020006
157 + 1019849 = 1020006
167 + 1019839 = 1020006
179 + 1019827 = 1020006

Showing the first eight; more decompositions exist.

Hex color

#0F9066

RGB(15, 144, 102)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.102.

Address: 0.15.144.102
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.102

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 0006 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0006-02-01 (DMMYYYY (Euro, single-digit day))
0006-10-02 (MMDYYYY (US, single-digit day))
0006-02-10 (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 1,020,006 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 US1,020,006 on Google Patents ↗ Look up on USPTO ↗