Live analysis

1,006,842

1,006,842 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.).

1,006,842 (one million six thousand eight hundred forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 17 × 9,871. Its proper divisors sum to 1,125,510, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5CFA.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,830 1,006,831 1,006,832 1,006,833 1,006,834 1,006,835 1,006,836 1,006,837 1,006,838 1,006,839 1,006,840 1,006,841 1,006,842 1,006,843 1,006,844 1,006,845 1,006,846 1,006,847 1,006,848 1,006,849 1,006,850 1,006,851 1,006,852 1,006,853 1,006,854

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,486,001
Square (n²): 1,013,730,812,964
Cube (n³): 1,020,666,759,186,299,688
Divisor count: 16
σ(n) — sum of divisors: 2,132,352
φ(n) — Euler's totient: 315,840
Sum of prime factors: 9,893

Primality

Prime factorization: 2 × 3 × 17 × 9871

Nearest primes: 1,006,799 (−43) · 1,006,847 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 17 · 34 · 51 · 102 · 9871 · 19742 · 29613 · 59226 · 167807 · 335614 · 503421 (half) · 1006842

Aliquot sum (sum of proper divisors): 1,125,510

Factor pairs (a × b = 1,006,842)

1 × 1006842

2 × 503421

3 × 335614

6 × 167807

17 × 59226

34 × 29613

51 × 19742

102 × 9871

First multiples

1,006,842 · 2,013,684 (double) · 3,020,526 · 4,027,368 · 5,034,210 · 6,041,052 · 7,047,894 · 8,054,736 · 9,061,578 · 10,068,420

Sums & aliquot sequence

As consecutive integers: 335,613 + 335,614 + 335,615 251,709 + 251,710 + 251,711 + 251,712 83,898 + 83,899 + … + 83,909 59,218 + 59,219 + … + 59,234

Aliquot sequence: 1,006,842 → 1,125,510 → 1,575,786 → 1,595,382 → 1,783,290 → 2,496,678 → 2,674,866 → 2,951,502 → 3,006,978 → 3,813,822 → 4,449,498 → 4,483,398 → 4,511,418 → 4,532,262 → 6,345,690 → 10,419,366 → 10,485,258 — unresolved within range

Continued fraction of √n

√1,006,842 = [1003; (2, 2, 2, 4, 4, 1, 1, 2, 2, 2, 14, 1, 1, 3, 2, 12, 1, 1, 2, 5, 1, 5, 1, 8, …)]

Representations

In words: one million six thousand eight hundred forty-two
Ordinal: 1006842nd
Binary: 11110101110011111010
Octal: 3656372
Hexadecimal: 0xF5CFA
Base64: D1z6
One's complement: 4,293,960,453 (32-bit)
Scientific notation: 1.006842 × 10⁶
As a duration: 1,006,842 s = 11 days, 15 hours, 40 minutes, 42 seconds

In other bases

ternary (3) 1220011010110

quaternary (4) 3311303322

quinary (5) 224204332

senary (6) 33325150

septenary (7) 11362254

nonary (9) 1804113

undecimal (11) 628501

duodecimal (12) 4067b6

tridecimal (13) 293385

tetradecimal (14) 1c2cd4

pentadecimal (15) 14d4cc

As an angle

1,006,842° = 2,796 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬六千八百四十二
Chinese (financial): 壹佰萬陸仟捌佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٠٦٨٤٢ Devanagari १००६८४२ Bengali ১০০৬৮৪২ Tamil ௧௦௦௬௮௪௨ Thai ๑๐๐๖๘๔๒ Tibetan ༡༠༠༦༨༤༢ Khmer ១០០៦៨៤២ Lao ໑໐໐໖໘໔໒ Burmese ၁၀၀၆၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006842, here are decompositions:

43 + 1006799 = 1006842
59 + 1006783 = 1006842
61 + 1006781 = 1006842
73 + 1006769 = 1006842
103 + 1006739 = 1006842
131 + 1006711 = 1006842
191 + 1006651 = 1006842
229 + 1006613 = 1006842

Showing the first eight; more decompositions exist.

Hex color

#0F5CFA

RGB(15, 92, 250)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.250.

Address: 0.15.92.250
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.92.250

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 1,006,842 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 US1,006,842 on Google Patents ↗ Look up on USPTO ↗