Live analysis

1,012,008

1,012,008 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.).

1,012,008 (one million twelve thousand eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 149 × 283. Its proper divisors sum to 1,543,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7128.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,002,101
Square (n²): 1,024,160,192,064
Cube (n³): 1,036,458,307,650,304,512
Divisor count: 32
σ(n) — sum of divisors: 2,556,000
φ(n) — Euler's totient: 333,888
Sum of prime factors: 441

Primality

Prime factorization: 2 ³ × 3 × 149 × 283

Nearest primes: 1,012,007 (−1) · 1,012,009 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 149 · 283 · 298 · 447 · 566 · 596 · 849 · 894 · 1132 · 1192 · 1698 · 1788 · 2264 · 3396 · 3576 · 6792 · 42167 · 84334 · 126501 · 168668 · 253002 · 337336 · 506004 (half) · 1012008

Aliquot sum (sum of proper divisors): 1,543,992

Factor pairs (a × b = 1,012,008)

1 × 1012008

2 × 506004

3 × 337336

4 × 253002

6 × 168668

8 × 126501

12 × 84334

24 × 42167

149 × 6792

283 × 3576

298 × 3396

447 × 2264

566 × 1788

596 × 1698

849 × 1192

894 × 1132

First multiples

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

Sums & aliquot sequence

As consecutive integers: 337,335 + 337,336 + 337,337 63,243 + 63,244 + … + 63,258 21,060 + 21,061 + … + 21,107 6,718 + 6,719 + … + 6,866

Aliquot sequence: 1,012,008 → 1,543,992 → 2,316,048 → 4,695,408 → 8,898,216 → 13,347,384 → 20,125,656 → 34,381,524 → 47,357,196 → 71,183,604 → 94,911,500 → 112,376,308 → 102,160,364 → 77,068,924 → 59,509,476 → 102,489,816 → 198,539,304 — unresolved within range

Continued fraction of √n

√1,012,008 = [1005; (1, 70, 1, 5, 1, 40, 4, 1, 9, 1, 2, 1, 2, 1, 9, 1, 4, 40, 1, 5, 1, 70, 1, 2010)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand eight
Ordinal: 1012008th
Binary: 11110111000100101000
Octal: 3670450
Hexadecimal: 0xF7128
Base64: D3Eo
One's complement: 4,293,955,287 (32-bit)
Scientific notation: 1.012008 × 10⁶
As a duration: 1,012,008 s = 11 days, 17 hours, 6 minutes, 48 seconds

In other bases

ternary (3) 1220102012210

quaternary (4) 3313010220

quinary (5) 224341013

senary (6) 33405120

septenary (7) 11413314

nonary (9) 1812183

undecimal (11) 631378

duodecimal (12) 4097a0

tridecimal (13) 29582a

tetradecimal (14) 1c4b44

pentadecimal (15) 14ecc3

As an angle

1,012,008° = 2,811 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬二千零八
Chinese (financial): 壹佰零壹萬貳仟零捌

In other modern scripts

Eastern Arabic ١٠١٢٠٠٨ Devanagari १०१२००८ Bengali ১০১২০০৮ Tamil ௧௦௧௨௦௦௮ Thai ๑๐๑๒๐๐๘ Tibetan ༡༠༡༢༠༠༨ Khmer ១០១២០០៨ Lao ໑໐໑໒໐໐໘ Burmese ၁၀၁၂၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012008, here are decompositions:

29 + 1011979 = 1012008
47 + 1011961 = 1012008
61 + 1011947 = 1012008
71 + 1011937 = 1012008
181 + 1011827 = 1012008
191 + 1011817 = 1012008
211 + 1011797 = 1012008
229 + 1011779 = 1012008

Showing the first eight; more decompositions exist.

Hex color

#0F7128

RGB(15, 113, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.40.

Address: 0.15.113.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.40

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 2008 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2008-10-01 (MMDYYYY (US, single-digit day))
2008-01-10 (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 1,012,008 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 US1,012,008 on Google Patents ↗ Look up on USPTO ↗