Live analysis

1,006,012

1,006,012 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.).

1,006,012 (one million six thousand twelve) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 7 × 19 × 31 × 61. Its proper divisors sum to 1,216,068, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF59BC.

Abundant Number Cube-Free Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,000 1,006,001 1,006,002 1,006,003 1,006,004 1,006,005 1,006,006 1,006,007 1,006,008 1,006,009 1,006,010 1,006,011 1,006,012 1,006,013 1,006,014 1,006,015 1,006,016 1,006,017 1,006,018 1,006,019 1,006,020 1,006,021 1,006,022 1,006,023 1,006,024

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 2,106,001
Square (n²): 1,012,060,144,144
Cube (n³): 1,018,144,649,730,593,728
Divisor count: 48
σ(n) — sum of divisors: 2,222,080
φ(n) — Euler's totient: 388,800
Sum of prime factors: 122

Primality

Prime factorization: 2 ² × 7 × 19 × 31 × 61

Nearest primes: 1,006,007 (−5) · 1,006,021 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 7 · 14 · 19 · 28 · 31 · 38 · 61 · 62 · 76 · 122 · 124 · 133 · 217 · 244 · 266 · 427 · 434 · 532 · 589 · 854 · 868 · 1159 · 1178 · 1708 · 1891 · 2318 · 2356 · 3782 · 4123 · 4636 · 7564 · 8113 · 8246 · 13237 · 16226 · 16492 · 26474 · 32452 · 35929 · 52948 · 71858 · 143716 · 251503 · 503006 (half) · 1006012

Aliquot sum (sum of proper divisors): 1,216,068

Factor pairs (a × b = 1,006,012)

1 × 1006012

2 × 503006

4 × 251503

7 × 143716

14 × 71858

19 × 52948

28 × 35929

31 × 32452

38 × 26474

61 × 16492

62 × 16226

76 × 13237

122 × 8246

124 × 8113

133 × 7564

217 × 4636

244 × 4123

266 × 3782

427 × 2356

434 × 2318

532 × 1891

589 × 1708

854 × 1178

868 × 1159

First multiples

1,006,012 · 2,012,024 (double) · 3,018,036 · 4,024,048 · 5,030,060 · 6,036,072 · 7,042,084 · 8,048,096 · 9,054,108 · 10,060,120

Sums & aliquot sequence

As consecutive integers: 143,713 + 143,714 + … + 143,719 125,748 + 125,749 + … + 125,755 52,939 + 52,940 + … + 52,957 32,437 + 32,438 + … + 32,467

Aliquot sequence: 1,006,012 → 1,216,068 → 2,138,556 → 3,667,692 → 6,331,668 → 10,553,004 → 24,702,804 → 47,875,884 → 80,223,444 → 151,533,900 → 400,930,740 → 1,028,689,452 → 1,943,080,804 → 1,943,080,860 → 4,274,779,236 → 8,326,446,492 → 16,563,057,252 — keeps growing

Continued fraction of √n

√1,006,012 = [1003; (668, 1, 2, 222, 1, 1, 3, 1, 73, 1, 1, 12, 1, 23, 1, 5, 4, 3, 7, 1, 17, 1, 2, 3, …)]

Representations

In words: one million six thousand twelve
Ordinal: 1006012th
Binary: 11110101100110111100
Octal: 3654674
Hexadecimal: 0xF59BC
Base64: D1m8
One's complement: 4,293,961,283 (32-bit)
Scientific notation: 1.006012 × 10⁶
As a duration: 1,006,012 s = 11 days, 15 hours, 26 minutes, 52 seconds

In other bases

ternary (3) 1220002222201

quaternary (4) 3311212330

quinary (5) 224143022

senary (6) 33321244

septenary (7) 11356660

nonary (9) 1802881

undecimal (11) 627917

duodecimal (12) 406224

tridecimal (13) 292b97

tetradecimal (14) 1c28a0

pentadecimal (15) 14d127

As an angle

1,006,012° = 2,794 × 360° + 172°

172° ≈ 3.002 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Chinese: 一百萬六千零一十二
Chinese (financial): 壹佰萬陸仟零壹拾貳

In other modern scripts

Eastern Arabic ١٠٠٦٠١٢ Devanagari १००६०१२ Bengali ১০০৬০১২ Tamil ௧௦௦௬௦௧௨ Thai ๑๐๐๖๐๑๒ Tibetan ༡༠༠༦༠༡༢ Khmer ១០០៦០១២ Lao ໑໐໐໖໐໑໒ Burmese ၁၀၀၆၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006012, here are decompositions:

5 + 1006007 = 1006012
23 + 1005989 = 1006012
41 + 1005971 = 1006012
53 + 1005959 = 1006012
101 + 1005911 = 1006012
179 + 1005833 = 1006012
191 + 1005821 = 1006012
251 + 1005761 = 1006012

Showing the first eight; more decompositions exist.

Hex color

#0F59BC

RGB(15, 89, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.188.

Address: 0.15.89.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.89.188

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 1,006,012 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 US1,006,012 on Google Patents ↗ Look up on USPTO ↗