Live analysis

1,005,012

1,005,012 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.).

1,005,012 (one million five thousand twelve) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 27,917. Its proper divisors sum to 1,535,526, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF55D4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,105,001
Square (n²): 1,010,049,120,144
Cube (n³): 1,015,111,486,334,161,728
Divisor count: 18
σ(n) — sum of divisors: 2,540,538
φ(n) — Euler's totient: 334,992
Sum of prime factors: 27,927

Primality

Prime factorization: 2 ² × 3 ² × 27917

Nearest primes: 1,005,007 (−5) · 1,005,013 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 27917 · 55834 · 83751 · 111668 · 167502 · 251253 · 335004 · 502506 (half) · 1005012

Aliquot sum (sum of proper divisors): 1,535,526

Factor pairs (a × b = 1,005,012)

1 × 1005012

2 × 502506

3 × 335004

4 × 251253

6 × 167502

9 × 111668

12 × 83751

18 × 55834

36 × 27917

First multiples

1,005,012 · 2,010,024 (double) · 3,015,036 · 4,020,048 · 5,025,060 · 6,030,072 · 7,035,084 · 8,040,096 · 9,045,108 · 10,050,120

Sums & aliquot sequence

As a sum of two squares: 114² + 996²

As consecutive integers: 335,003 + 335,004 + 335,005 125,623 + 125,624 + … + 125,630 111,664 + 111,665 + … + 111,672 41,864 + 41,865 + … + 41,887

Aliquot sequence: 1,005,012 → 1,535,526 → 1,937,034 → 2,802,294 → 3,821,778 → 4,502,538 → 5,492,538 → 6,926,310 → 12,832,506 → 16,217,658 → 20,122,272 → 37,715,508 → 57,621,006 → 67,224,546 → 90,028,254 → 90,028,266 → 90,028,278 — unresolved within range

Continued fraction of √n

√1,005,012 = [1002; (1, 1, 86, 1, 2, 14, 1, 2, 1, 5, 1, 10, 1, 4, 7, 2, 2, 1, 1, 1, 2, 2, 13, 1, …)]

Representations

In words: one million five thousand twelve
Ordinal: 1005012th
Binary: 11110101010111010100
Octal: 3652724
Hexadecimal: 0xF55D4
Base64: D1XU
One's complement: 4,293,962,283 (32-bit)
Scientific notation: 1.005012 × 10⁶
As a duration: 1,005,012 s = 11 days, 15 hours, 10 minutes, 12 seconds

In other bases

ternary (3) 1220001121200

quaternary (4) 3311113110

quinary (5) 224130022

senary (6) 33312500

septenary (7) 11354031

nonary (9) 1801550

undecimal (11) 627098

duodecimal (12) 405730

tridecimal (13) 2925a8

tetradecimal (14) 1c2388

pentadecimal (15) 14cbac

As an angle

1,005,012° = 2,791 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Chinese: 一百萬五千零一十二
Chinese (financial): 壹佰萬伍仟零壹拾貳

In other modern scripts

Eastern Arabic ١٠٠٥٠١٢ Devanagari १००५०१२ Bengali ১০০৫০১২ Tamil ௧௦௦௫௦௧௨ Thai ๑๐๐๕๐๑๒ Tibetan ༡༠༠༥༠༡༢ Khmer ១០០៥០១២ Lao ໑໐໐໕໐໑໒ Burmese ၁၀၀၅၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005012, here are decompositions:

5 + 1005007 = 1005012
31 + 1004981 = 1005012
101 + 1004911 = 1005012
109 + 1004903 = 1005012
139 + 1004873 = 1005012
233 + 1004779 = 1005012
251 + 1004761 = 1005012
263 + 1004749 = 1005012

Showing the first eight; more decompositions exist.

Hex color

#0F55D4

RGB(15, 85, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.212.

Address: 0.15.85.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.212

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 1,005,012 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 US1,005,012 on Google Patents ↗ Look up on USPTO ↗