Live analysis

1,008,144

1,008,144 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.).

1,008,144 (one million eight thousand one hundred forty-four) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 7,001. Its proper divisors sum to 1,813,662, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6210.

Abundant Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,008,132 1,008,133 1,008,134 1,008,135 1,008,136 1,008,137 1,008,138 1,008,139 1,008,140 1,008,141 1,008,142 1,008,143 1,008,144 1,008,145 1,008,146 1,008,147 1,008,148 1,008,149 1,008,150 1,008,151 1,008,152 1,008,153 1,008,154 1,008,155 1,008,156

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,418,001
Recamán's sequence: a(349,163) = 1,008,144
Square (n²): 1,016,354,324,736
Cube (n³): 1,024,631,514,356,649,984
Divisor count: 30
σ(n) — sum of divisors: 2,821,806
φ(n) — Euler's totient: 336,000
Sum of prime factors: 7,015

Primality

Prime factorization: 2 ⁴ × 3 ² × 7001

Nearest primes: 1,008,131 (−13) · 1,008,157 (+13)

Divisors & multiples

All divisors (30)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 7001 · 14002 · 21003 · 28004 · 42006 · 56008 · 63009 · 84012 · 112016 · 126018 · 168024 · 252036 · 336048 · 504072 (half) · 1008144

Aliquot sum (sum of proper divisors): 1,813,662

Factor pairs (a × b = 1,008,144)

1 × 1008144

2 × 504072

3 × 336048

4 × 252036

6 × 168024

8 × 126018

9 × 112016

12 × 84012

16 × 63009

18 × 56008

24 × 42006

36 × 28004

48 × 21003

72 × 14002

144 × 7001

First multiples

1,008,144 · 2,016,288 (double) · 3,024,432 · 4,032,576 · 5,040,720 · 6,048,864 · 7,057,008 · 8,065,152 · 9,073,296 · 10,081,440

Sums & aliquot sequence

As a sum of two squares: 420² + 912²

As consecutive integers: 336,047 + 336,048 + 336,049 112,012 + 112,013 + … + 112,020 31,489 + 31,490 + … + 31,520 10,454 + 10,455 + … + 10,549

Aliquot sequence: 1,008,144 → 1,813,662 → 2,347,794 → 3,110,958 → 3,661,938 → 5,406,030 → 10,659,474 → 16,596,846 → 27,997,074 → 41,329,326 → 41,329,338 → 42,163,974 → 49,191,342 → 60,778,578 → 78,374,958 → 78,475,218 → 90,955,182 — unresolved within range

Continued fraction of √n

√1,008,144 = [1004; (15, 1, 2, 4, 1, 7, 31, 1, 2, 1, 20, 2, 1, 1, 3, 2, 5, 1, 1, 4, 87, 11, 6, 1, …)]

Representations

In words: one million eight thousand one hundred forty-four
Ordinal: 1008144th
Binary: 11110110001000010000
Octal: 3661020
Hexadecimal: 0xF6210
Base64: D2IQ
One's complement: 4,293,959,151 (32-bit)
Scientific notation: 1.008144 × 10⁶
As a duration: 1,008,144 s = 11 days, 16 hours, 2 minutes, 24 seconds

In other bases

ternary (3) 1220012220200

quaternary (4) 3312020100

quinary (5) 224230034

senary (6) 33335200

septenary (7) 11366124

nonary (9) 1805820

undecimal (11) 629485

duodecimal (12) 407500

tridecimal (13) 293b47

tetradecimal (14) 1c3584

pentadecimal (15) 14da99

As an angle

1,008,144° = 2,800 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬八千一百四十四
Chinese (financial): 壹佰萬捌仟壹佰肆拾肆

In other modern scripts

Eastern Arabic ١٠٠٨١٤٤ Devanagari १००८१४४ Bengali ১০০৮১৪৪ Tamil ௧௦௦௮௧௪௪ Thai ๑๐๐๘๑๔๔ Tibetan ༡༠༠༨༡༤༤ Khmer ១០០៨១៤៤ Lao ໑໐໐໘໑໔໔ Burmese ၁၀၀၈၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008144, here are decompositions:

13 + 1008131 = 1008144
43 + 1008101 = 1008144
101 + 1008043 = 1008144
103 + 1008041 = 1008144
107 + 1008037 = 1008144
113 + 1008031 = 1008144
127 + 1008017 = 1008144
131 + 1008013 = 1008144

Showing the first eight; more decompositions exist.

Hex color

#0F6210

RGB(15, 98, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.98.16.

Address: 0.15.98.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.98.16

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 1,008,144 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 US1,008,144 on Google Patents ↗ Look up on USPTO ↗