number.wiki
Live analysis

1,006,338

1,006,338 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.).

1,006,338 (one million six thousand three hundred thirty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 179 × 937. Its proper divisors sum to 1,019,742, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B02.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
8,336,001
Square (n²)
1,012,716,170,244
Cube (n³)
1,019,134,765,331,006,472
Divisor count
16
σ(n) — sum of divisors
2,026,080
φ(n) — Euler's totient
333,216
Sum of prime factors
1,121

Primality

Prime factorization: 2 × 3 × 179 × 937

Nearest primes: 1,006,337 (−1) · 1,006,339 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 179 · 358 · 537 · 937 · 1074 · 1874 · 2811 · 5622 · 167723 · 335446 · 503169 (half) · 1006338
Aliquot sum (sum of proper divisors): 1,019,742
Factor pairs (a × b = 1,006,338)
1 × 1006338
2 × 503169
3 × 335446
6 × 167723
179 × 5622
358 × 2811
537 × 1874
937 × 1074
First multiples
1,006,338 · 2,012,676 (double) · 3,019,014 · 4,025,352 · 5,031,690 · 6,038,028 · 7,044,366 · 8,050,704 · 9,057,042 · 10,063,380

Sums & aliquot sequence

As consecutive integers: 335,445 + 335,446 + 335,447 251,583 + 251,584 + 251,585 + 251,586 83,856 + 83,857 + … + 83,867 5,533 + 5,534 + … + 5,711
Aliquot sequence: 1,006,338 1,019,742 1,019,754 1,209,018 1,314,438 1,351,338 1,351,350 3,648,330 7,194,294 8,897,418 10,874,742 10,874,754 15,029,124 24,174,012 34,685,124 46,966,236 64,890,180 — unresolved within range

Continued fraction of √n

√1,006,338 = [1003; (6, 10, 4, 2, 1, 2, 2, 1, 3, 1, 19, 1, 2, 5, 1, 1, 1, 1, 2, 8, 1, 1, 1, 8, …)]

Representations

In words
one million six thousand three hundred thirty-eight
Ordinal
1006338th
Binary
11110101101100000010
Octal
3655402
Hexadecimal
0xF5B02
Base64
D1sC
One's complement
4,293,960,957 (32-bit)
Scientific notation
1.006338 × 10⁶
As a duration
1,006,338 s = 11 days, 15 hours, 32 minutes, 18 seconds
In other bases
ternary (3) 1220010102210
quaternary (4) 3311230002
quinary (5) 224200323
senary (6) 33322550
septenary (7) 11360634
nonary (9) 1803383
undecimal (11) 628093
duodecimal (12) 406456
tridecimal (13) 293088
tetradecimal (14) 1c2a54
pentadecimal (15) 14d293

As an angle

1,006,338° = 2,795 × 360° + 138°
138° ≈ 2.409 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千三百三十八
Chinese (financial)
壹佰萬陸仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٠٠٦٣٣٨ Devanagari १००६३३८ Bengali ১০০৬৩৩৮ Tamil ௧௦௦௬௩௩௮ Thai ๑๐๐๖๓๓๘ Tibetan ༡༠༠༦༣༣༨ Khmer ១០០៦៣៣៨ Lao ໑໐໐໖໓໓໘ Burmese ၁၀၀၆၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006338, here are decompositions:

  • 5 + 1006333 = 1006338
  • 7 + 1006331 = 1006338
  • 29 + 1006309 = 1006338
  • 31 + 1006307 = 1006338
  • 37 + 1006301 = 1006338
  • 59 + 1006279 = 1006338
  • 71 + 1006267 = 1006338
  • 89 + 1006249 = 1006338

Showing the first eight; more decompositions exist.

Hex color
#0F5B02
RGB(15, 91, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.2.

Address
0.15.91.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.91.2

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 1,006,338 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°.