Live analysis

1,006,984

1,006,984 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.).

1,006,984 (one million six thousand nine hundred eighty-four) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 11,443. Its proper divisors sum to 1,052,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D88.

Abundant Number Arithmetic Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,006,972 1,006,973 1,006,974 1,006,975 1,006,976 1,006,977 1,006,978 1,006,979 1,006,980 1,006,981 1,006,982 1,006,983 1,006,984 1,006,985 1,006,986 1,006,987 1,006,988 1,006,989 1,006,990 1,006,991 1,006,992 1,006,993 1,006,994 1,006,995 1,006,996

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 28
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,896,001
Square (n²): 1,014,016,776,256
Cube (n³): 1,021,098,669,421,371,904
Divisor count: 16
σ(n) — sum of divisors: 2,059,920
φ(n) — Euler's totient: 457,680
Sum of prime factors: 11,460

Primality

Prime factorization: 2 ³ × 11 × 11443

Nearest primes: 1,006,979 (−5) · 1,006,987 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 11443 · 22886 · 45772 · 91544 · 125873 · 251746 · 503492 (half) · 1006984

Aliquot sum (sum of proper divisors): 1,052,936

Factor pairs (a × b = 1,006,984)

1 × 1006984

2 × 503492

4 × 251746

8 × 125873

11 × 91544

22 × 45772

44 × 22886

88 × 11443

First multiples

1,006,984 · 2,013,968 (double) · 3,020,952 · 4,027,936 · 5,034,920 · 6,041,904 · 7,048,888 · 8,055,872 · 9,062,856 · 10,069,840

Sums & aliquot sequence

As consecutive integers: 91,539 + 91,540 + … + 91,549 62,929 + 62,930 + … + 62,944 5,634 + 5,635 + … + 5,809

Aliquot sequence: 1,006,984 → 1,052,936 → 921,334 → 520,826 → 260,416 → 297,876 → 406,828 → 364,292 → 284,104 → 280,196 → 280,252 → 280,308 → 493,836 → 823,284 → 1,887,788 → 1,887,844 → 1,918,364 — unresolved within range

Continued fraction of √n

√1,006,984 = [1003; (2, 17, 3, 1, 4, 1, 27, 20, 1, 1, 1, 8, 2, 5, 1, 23, 1, 13, 1, 2, 4, 2, 51, 80, …)]

Representations

In words: one million six thousand nine hundred eighty-four
Ordinal: 1006984th
Binary: 11110101110110001000
Octal: 3656610
Hexadecimal: 0xF5D88
Base64: D12I
One's complement: 4,293,960,311 (32-bit)
Scientific notation: 1.006984 × 10⁶
As a duration: 1,006,984 s = 11 days, 15 hours, 43 minutes, 4 seconds

In other bases

ternary (3) 1220011022201

quaternary (4) 3311312020

quinary (5) 224210414

senary (6) 33325544

septenary (7) 11362546

nonary (9) 1804281

undecimal (11) 628620

duodecimal (12) 4068b4

tridecimal (13) 293464

tetradecimal (14) 1c2d96

pentadecimal (15) 14d574

As an angle

1,006,984° = 2,797 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千九百八十四
Chinese (financial): 壹佰萬陸仟玖佰捌拾肆

In other modern scripts

Eastern Arabic ١٠٠٦٩٨٤ Devanagari १००६९८४ Bengali ১০০৬৯৮৪ Tamil ௧௦௦௬௯௮௪ Thai ๑๐๐๖๙๘๔ Tibetan ༡༠༠༦༩༨༤ Khmer ១០០៦៩៨៤ Lao ໑໐໐໖໙໘໔ Burmese ၁၀၀၆၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006984, here are decompositions:

5 + 1006979 = 1006984
47 + 1006937 = 1006984
101 + 1006883 = 1006984
107 + 1006877 = 1006984
131 + 1006853 = 1006984
137 + 1006847 = 1006984
233 + 1006751 = 1006984
263 + 1006721 = 1006984

Showing the first eight; more decompositions exist.

Hex color

#0F5D88

RGB(15, 93, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.136.

Address: 0.15.93.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.136

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 1,006,984 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 US1,006,984 on Google Patents ↗ Look up on USPTO ↗