Live analysis

1,006,684

1,006,684 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.).

1,006,684 (one million six thousand six hundred eighty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 157 × 229. Its proper divisors sum to 1,028,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5C5C.

Abundant Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,672 1,006,673 1,006,674 1,006,675 1,006,676 1,006,677 1,006,678 1,006,679 1,006,680 1,006,681 1,006,682 1,006,683 1,006,684 1,006,685 1,006,686 1,006,687 1,006,688 1,006,689 1,006,690 1,006,691 1,006,692 1,006,693 1,006,694 1,006,695 1,006,696

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,866,001
Square (n²): 1,013,412,675,856
Cube (n³): 1,020,186,326,181,421,504
Divisor count: 24
σ(n) — sum of divisors: 2,035,040
φ(n) — Euler's totient: 426,816
Sum of prime factors: 397

Primality

Prime factorization: 2 ² × 7 × 157 × 229

Nearest primes: 1,006,651 (−33) · 1,006,711 (+27)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 157 · 229 · 314 · 458 · 628 · 916 · 1099 · 1603 · 2198 · 3206 · 4396 · 6412 · 35953 · 71906 · 143812 · 251671 · 503342 (half) · 1006684

Aliquot sum (sum of proper divisors): 1,028,356

Factor pairs (a × b = 1,006,684)

1 × 1006684

2 × 503342

4 × 251671

7 × 143812

14 × 71906

28 × 35953

157 × 6412

229 × 4396

314 × 3206

458 × 2198

628 × 1603

916 × 1099

First multiples

1,006,684 · 2,013,368 (double) · 3,020,052 · 4,026,736 · 5,033,420 · 6,040,104 · 7,046,788 · 8,053,472 · 9,060,156 · 10,066,840

Sums & aliquot sequence

As consecutive integers: 143,809 + 143,810 + … + 143,815 125,832 + 125,833 + … + 125,839 17,949 + 17,950 + … + 18,004 6,334 + 6,335 + … + 6,490

Aliquot sequence: 1,006,684 → 1,028,356 → 1,137,724 → 1,160,516 → 1,290,940 → 1,807,652 → 2,136,988 → 2,213,708 → 2,249,044 → 2,347,436 → 2,709,364 → 2,709,420 → 5,962,068 → 11,597,292 → 21,906,724 → 22,836,450 → 48,408,990 — unresolved within range

Continued fraction of √n

√1,006,684 = [1003; (2, 1, 35, 5, 1, 500, 1, 5, 35, 1, 2, 2006)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million six thousand six hundred eighty-four
Ordinal: 1006684th
Binary: 11110101110001011100
Octal: 3656134
Hexadecimal: 0xF5C5C
Base64: D1xc
One's complement: 4,293,960,611 (32-bit)
Scientific notation: 1.006684 × 10⁶
As a duration: 1,006,684 s = 11 days, 15 hours, 38 minutes, 4 seconds

In other bases

ternary (3) 1220010220121

quaternary (4) 3311301130

quinary (5) 224203214

senary (6) 33324324

septenary (7) 11361640

nonary (9) 1803817

undecimal (11) 628378

duodecimal (12) 4066a4

tridecimal (13) 293293

tetradecimal (14) 1c2c20

pentadecimal (15) 14d424

As an angle

1,006,684° = 2,796 × 360° + 124°

124° ≈ 2.164 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千六百八十四
Chinese (financial): 壹佰萬陸仟陸佰捌拾肆

In other modern scripts

Eastern Arabic ١٠٠٦٦٨٤ Devanagari १००६६८४ Bengali ১০০৬৬৮৪ Tamil ௧௦௦௬௬௮௪ Thai ๑๐๐๖๖๘๔ Tibetan ༡༠༠༦༦༨༤ Khmer ១០០៦៦៨៤ Lao ໑໐໐໖໖໘໔ Burmese ၁၀၀၆၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006684, here are decompositions:

47 + 1006637 = 1006684
71 + 1006613 = 1006684
101 + 1006583 = 1006684
137 + 1006547 = 1006684
191 + 1006493 = 1006684
251 + 1006433 = 1006684
293 + 1006391 = 1006684
317 + 1006367 = 1006684

Showing the first eight; more decompositions exist.

Hex color

#0F5C5C

RGB(15, 92, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.92.

Address: 0.15.92.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.92.92

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 1,006,684 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 US1,006,684 on Google Patents ↗ Look up on USPTO ↗