number.wiki
Live analysis

1,006,638

1,006,638 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.).

1,006,638 (one million six thousand six hundred thirty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 17 × 71 × 139. Its proper divisors sum to 1,170,642, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5C2E.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
8,366,001
Square (n²)
1,013,320,063,044
Cube (n³)
1,020,046,481,622,486,072
Divisor count
32
σ(n) — sum of divisors
2,177,280
φ(n) — Euler's totient
309,120
Sum of prime factors
232

Primality

Prime factorization: 2 × 3 × 17 × 71 × 139

Nearest primes: 1,006,637 (−1) · 1,006,651 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 17 · 34 · 51 · 71 · 102 · 139 · 142 · 213 · 278 · 417 · 426 · 834 · 1207 · 2363 · 2414 · 3621 · 4726 · 7089 · 7242 · 9869 · 14178 · 19738 · 29607 · 59214 · 167773 · 335546 · 503319 (half) · 1006638
Aliquot sum (sum of proper divisors): 1,170,642
Factor pairs (a × b = 1,006,638)
1 × 1006638
2 × 503319
3 × 335546
6 × 167773
17 × 59214
34 × 29607
51 × 19738
71 × 14178
102 × 9869
139 × 7242
142 × 7089
213 × 4726
278 × 3621
417 × 2414
426 × 2363
834 × 1207
First multiples
1,006,638 · 2,013,276 (double) · 3,019,914 · 4,026,552 · 5,033,190 · 6,039,828 · 7,046,466 · 8,053,104 · 9,059,742 · 10,066,380

Sums & aliquot sequence

As consecutive integers: 335,545 + 335,546 + 335,547 251,658 + 251,659 + 251,660 + 251,661 83,881 + 83,882 + … + 83,892 59,206 + 59,207 + … + 59,222
Aliquot sequence: 1,006,638 1,170,642 1,383,630 2,133,714 2,558,526 2,558,538 3,015,030 4,221,114 4,427,526 4,427,538 4,703,166 6,435,234 9,289,566 15,226,002 21,686,958 26,572,890 39,261,606 — unresolved within range

Continued fraction of √n

√1,006,638 = [1003; (3, 5, 3, 1, 2, 8, 1, 4, 76, 1, 36, 1, 6, 1, 12, 1, 1, 2, 5, 11, 1, 2, 4, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one million six thousand six hundred thirty-eight
Ordinal
1006638th
Binary
11110101110000101110
Octal
3656056
Hexadecimal
0xF5C2E
Base64
D1wu
One's complement
4,293,960,657 (32-bit)
Scientific notation
1.006638 × 10⁶
As a duration
1,006,638 s = 11 days, 15 hours, 37 minutes, 18 seconds
In other bases
ternary (3) 1220010211220
quaternary (4) 3311300232
quinary (5) 224203023
senary (6) 33324210
septenary (7) 11361543
nonary (9) 1803756
undecimal (11) 628336
duodecimal (12) 406666
tridecimal (13) 293259
tetradecimal (14) 1c2bca
pentadecimal (15) 14d3e3

As an angle

1,006,638° = 2,796 × 360° + 78°
78° ≈ 1.361 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千六百三十八
Chinese (financial)
壹佰萬陸仟陸佰參拾捌
In other modern scripts
Eastern Arabic ١٠٠٦٦٣٨ Devanagari १००६६३८ Bengali ১০০৬৬৩৮ Tamil ௧௦௦௬௬௩௮ Thai ๑๐๐๖๖๓๘ Tibetan ༡༠༠༦༦༣༨ Khmer ១០០៦៦៣៨ Lao ໑໐໐໖໖໓໘ Burmese ၁၀၀၆၆၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006638, here are decompositions:

  • 5 + 1006633 = 1006638
  • 29 + 1006609 = 1006638
  • 79 + 1006559 = 1006638
  • 107 + 1006531 = 1006638
  • 131 + 1006507 = 1006638
  • 167 + 1006471 = 1006638
  • 197 + 1006441 = 1006638
  • 271 + 1006367 = 1006638

Showing the first eight; more decompositions exist.

Hex color
#0F5C2E
RGB(15, 92, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.46.

Address
0.15.92.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.92.46

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 1,006,638 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°.