number.wiki
Live analysis

1,006,688

1,006,688 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.).

1,006,688 (one million six thousand six hundred eighty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 163 × 193. Written other ways, in hexadecimal, 0xF5C60.

Arithmetic Number Deficient Number Evil Number Flippable Self Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
8,866,001
Flips to (rotate 180°)
8,899,001
Square (n²)
1,013,420,729,344
Cube (n³)
1,020,198,487,181,852,672
Divisor count
24
σ(n) — sum of divisors
2,004,408
φ(n) — Euler's totient
497,664
Sum of prime factors
366

Primality

Prime factorization: 2 5 × 163 × 193

Nearest primes: 1,006,651 (−37) · 1,006,711 (+23)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 163 · 193 · 326 · 386 · 652 · 772 · 1304 · 1544 · 2608 · 3088 · 5216 · 6176 · 31459 · 62918 · 125836 · 251672 · 503344 (half) · 1006688
Aliquot sum (sum of proper divisors): 997,720
Factor pairs (a × b = 1,006,688)
1 × 1006688
2 × 503344
4 × 251672
8 × 125836
16 × 62918
32 × 31459
163 × 6176
193 × 5216
326 × 3088
386 × 2608
652 × 1544
772 × 1304
First multiples
1,006,688 · 2,013,376 (double) · 3,020,064 · 4,026,752 · 5,033,440 · 6,040,128 · 7,046,816 · 8,053,504 · 9,060,192 · 10,066,880

Sums & aliquot sequence

As consecutive integers: 15,698 + 15,699 + … + 15,761 6,095 + 6,096 + … + 6,257 5,120 + 5,121 + … + 5,312
Aliquot sequence: 1,006,688 997,720 1,247,240 1,559,140 2,210,780 3,250,564 2,437,930 2,486,870 2,007,658 1,010,870 1,106,794 681,146 340,576 354,944 379,456 583,331 88,669 — unresolved within range

Continued fraction of √n

√1,006,688 = [1003; (2, 1, 21, 6, 1, 8, 1, 2, 1, 8, 1, 1, 64, 4, 1, 8, 6, 2, 1, 20, 286, 1, 1, 1, …)]

Representations

In words
one million six thousand six hundred eighty-eight
Ordinal
1006688th
Binary
11110101110001100000
Octal
3656140
Hexadecimal
0xF5C60
Base64
D1xg
One's complement
4,293,960,607 (32-bit)
Scientific notation
1.006688 × 10⁶
As a duration
1,006,688 s = 11 days, 15 hours, 38 minutes, 8 seconds
In other bases
ternary (3) 1220010220202
quaternary (4) 3311301200
quinary (5) 224203223
senary (6) 33324332
septenary (7) 11361644
nonary (9) 1803822
undecimal (11) 628381
duodecimal (12) 4066a8
tridecimal (13) 293297
tetradecimal (14) 1c2c24
pentadecimal (15) 14d428

As an angle

1,006,688° = 2,796 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千六百八十八
Chinese (financial)
壹佰萬陸仟陸佰捌拾捌
In other modern scripts
Eastern Arabic ١٠٠٦٦٨٨ Devanagari १००६६८८ Bengali ১০০৬৬৮৮ Tamil ௧௦௦௬௬௮௮ Thai ๑๐๐๖๖๘๘ Tibetan ༡༠༠༦༦༨༨ Khmer ១០០៦៦៨៨ Lao ໑໐໐໖໖໘໘ Burmese ၁၀၀၆၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006688, here are decompositions:

  • 37 + 1006651 = 1006688
  • 79 + 1006609 = 1006688
  • 157 + 1006531 = 1006688
  • 181 + 1006507 = 1006688
  • 337 + 1006351 = 1006688
  • 349 + 1006339 = 1006688
  • 379 + 1006309 = 1006688
  • 409 + 1006279 = 1006688

Showing the first eight; more decompositions exist.

Hex color
#0F5C60
RGB(15, 92, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.96.

Address
0.15.92.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.92.96

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 1,006,688 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.