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1,006,538

1,006,538 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.).

1,006,538 (one million six thousand five hundred thirty-eight) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 13 × 38,713. Written other ways, in hexadecimal, 0xF5BCA.

Cube-Free Deficient Number Odious Number Pernicious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
8,356,001
Square (n²)
1,013,118,745,444
Cube (n³)
1,019,742,515,801,712,872
Divisor count
8
σ(n) — sum of divisors
1,625,988
φ(n) — Euler's totient
464,544
Sum of prime factors
38,728

Primality

Prime factorization: 2 × 13 × 38713

Nearest primes: 1,006,531 (−7) · 1,006,543 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 13 · 26 · 38713 · 77426 · 503269 (half) · 1006538
Aliquot sum (sum of proper divisors): 619,450
Factor pairs (a × b = 1,006,538)
1 × 1006538
2 × 503269
13 × 77426
26 × 38713
First multiples
1,006,538 · 2,013,076 (double) · 3,019,614 · 4,026,152 · 5,032,690 · 6,039,228 · 7,045,766 · 8,052,304 · 9,058,842 · 10,065,380

Sums & aliquot sequence

As a sum of two squares: 23² + 1,003² = 407² + 917²
As consecutive integers: 251,633 + 251,634 + 251,635 + 251,636 77,420 + 77,421 + … + 77,432 19,331 + 19,332 + … + 19,382
Aliquot sequence: 1,006,538 619,450 622,658 311,332 311,388 597,156 995,484 1,708,140 3,936,660 10,005,996 23,862,804 40,909,260 90,856,500 229,929,420 549,149,748 1,067,262,924 2,330,455,092 — unresolved within range

Continued fraction of √n

√1,006,538 = [1003; (3, 1, 3, 1, 4, 1, 1, 2, 1, 4, 4, 1, 2, 1, 1, 4, 1, 3, 1, 3, 2006)]

Period length 21 — the block in parentheses repeats forever.

Representations

In words
one million six thousand five hundred thirty-eight
Ordinal
1006538th
Binary
11110101101111001010
Octal
3655712
Hexadecimal
0xF5BCA
Base64
D1vK
One's complement
4,293,960,757 (32-bit)
Scientific notation
1.006538 × 10⁶
As a duration
1,006,538 s = 11 days, 15 hours, 35 minutes, 38 seconds
In other bases
ternary (3) 1220010201012
quaternary (4) 3311233022
quinary (5) 224202123
senary (6) 33323522
septenary (7) 11361341
nonary (9) 1803635
undecimal (11) 628255
duodecimal (12) 4065a2
tridecimal (13) 2931b0
tetradecimal (14) 1c2b58
pentadecimal (15) 14d378

As an angle

1,006,538° = 2,795 × 360° + 338°
338° ≈ 5.899 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千五百三十八
Chinese (financial)
壹佰萬陸仟伍佰參拾捌
In other modern scripts
Eastern Arabic ١٠٠٦٥٣٨ Devanagari १००६५३८ Bengali ১০০৬৫৩৮ Tamil ௧௦௦௬௫௩௮ Thai ๑๐๐๖๕๓๘ Tibetan ༡༠༠༦༥༣༨ Khmer ១០០៦៥៣៨ Lao ໑໐໐໖໕໓໘ Burmese ၁၀၀၆၅၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006538, here are decompositions:

  • 7 + 1006531 = 1006538
  • 31 + 1006507 = 1006538
  • 67 + 1006471 = 1006538
  • 97 + 1006441 = 1006538
  • 199 + 1006339 = 1006538
  • 229 + 1006309 = 1006538
  • 271 + 1006267 = 1006538
  • 307 + 1006231 = 1006538

Showing the first eight; more decompositions exist.

Hex color
#0F5BCA
RGB(15, 91, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.202.

Address
0.15.91.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.91.202

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 1,006,538 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°.