Live analysis

1,008,012

1,008,012 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.).

1,008,012 (one million eight thousand twelve) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 167 × 503. Its proper divisors sum to 1,362,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF618C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,108,001
Recamán's sequence: a(349,427) = 1,008,012
Square (n²): 1,016,088,192,144
Cube (n³): 1,024,229,090,739,457,728
Divisor count: 24
σ(n) — sum of divisors: 2,370,816
φ(n) — Euler's totient: 333,328
Sum of prime factors: 677

Primality

Prime factorization: 2 ² × 3 × 167 × 503

Nearest primes: 1,008,001 (−11) · 1,008,013 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 167 · 334 · 501 · 503 · 668 · 1002 · 1006 · 1509 · 2004 · 2012 · 3018 · 6036 · 84001 · 168002 · 252003 · 336004 · 504006 (half) · 1008012

Aliquot sum (sum of proper divisors): 1,362,804

Factor pairs (a × b = 1,008,012)

1 × 1008012

2 × 504006

3 × 336004

4 × 252003

6 × 168002

12 × 84001

167 × 6036

334 × 3018

501 × 2012

503 × 2004

668 × 1509

1002 × 1006

First multiples

1,008,012 · 2,016,024 (double) · 3,024,036 · 4,032,048 · 5,040,060 · 6,048,072 · 7,056,084 · 8,064,096 · 9,072,108 · 10,080,120

Sums & aliquot sequence

As consecutive integers: 336,003 + 336,004 + 336,005 125,998 + 125,999 + … + 126,005 41,989 + 41,990 + … + 42,012 5,953 + 5,954 + … + 6,119

Aliquot sequence: 1,008,012 → 1,362,804 → 1,817,100 → 4,033,220 → 4,436,584 → 3,882,026 → 1,941,016 → 2,828,264 → 3,003,736 → 2,628,284 → 1,971,220 → 2,168,384 → 2,389,900 → 2,796,400 → 3,922,912 → 5,052,320 → 9,680,608 — unresolved within range

Continued fraction of √n

√1,008,012 = [1003; (1, 500, 1, 2006)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand twelve
Ordinal: 1008012th
Binary: 11110110000110001100
Octal: 3660614
Hexadecimal: 0xF618C
Base64: D2GM
One's complement: 4,293,959,283 (32-bit)
Scientific notation: 1.008012 × 10⁶
As a duration: 1,008,012 s = 11 days, 16 hours, 12 seconds

In other bases

ternary (3) 1220012201210

quaternary (4) 3312012030

quinary (5) 224224022

senary (6) 33334420

septenary (7) 11365545

nonary (9) 1805653

undecimal (11) 629375

duodecimal (12) 407410

tridecimal (13) 293a75

tetradecimal (14) 1c34cc

pentadecimal (15) 14da0c

As an angle

1,008,012° = 2,800 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Chinese: 一百萬八千零一十二
Chinese (financial): 壹佰萬捌仟零壹拾貳

In other modern scripts

Eastern Arabic ١٠٠٨٠١٢ Devanagari १००८०१२ Bengali ১০০৮০১২ Tamil ௧௦௦௮௦௧௨ Thai ๑๐๐๘๐๑๒ Tibetan ༡༠༠༨༠༡༢ Khmer ១០០៨០១២ Lao ໑໐໐໘໐໑໒ Burmese ၁၀၀၈၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008012, here are decompositions:

11 + 1008001 = 1008012
41 + 1007971 = 1008012
53 + 1007959 = 1008012
73 + 1007939 = 1008012
79 + 1007933 = 1008012
139 + 1007873 = 1008012
151 + 1007861 = 1008012
193 + 1007819 = 1008012

Showing the first eight; more decompositions exist.

Hex color

#0F618C

RGB(15, 97, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.140.

Address: 0.15.97.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.140

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 1,008,012 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 US1,008,012 on Google Patents ↗ Look up on USPTO ↗