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1,065,006

1,065,006 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.).

1,065,006 (one million sixty-five thousand six) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 59,167. Its proper divisors sum to 1,242,546, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10402E.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Moran Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
6,005,601
Square (n²)
1,134,237,780,036
Cube (n³)
1,207,970,041,165,020,216
Divisor count
12
σ(n) — sum of divisors
2,307,552
φ(n) — Euler's totient
354,996
Sum of prime factors
59,175

Primality

Prime factorization: 2 × 3 2 × 59167

Nearest primes: 1,064,989 (−17) · 1,065,011 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 18 · 59167 · 118334 · 177501 · 355002 · 532503 (half) · 1065006
Aliquot sum (sum of proper divisors): 1,242,546
Factor pairs (a × b = 1,065,006)
1 × 1065006
2 × 532503
3 × 355002
6 × 177501
9 × 118334
18 × 59167
First multiples
1,065,006 · 2,130,012 (double) · 3,195,018 · 4,260,024 · 5,325,030 · 6,390,036 · 7,455,042 · 8,520,048 · 9,585,054 · 10,650,060

Sums & aliquot sequence

As consecutive integers: 355,001 + 355,002 + 355,003 266,250 + 266,251 + 266,252 + 266,253 118,330 + 118,331 + … + 118,338 88,745 + 88,746 + … + 88,756
Aliquot sequence: 1,065,006 → 1,242,546 → 1,303,662 → 1,457,250 → 2,361,630 → 3,306,354 → 3,306,366 → 5,091,714 → 6,223,326 → 7,495,890 → 10,494,318 → 11,281,074 → 14,965,374 → 16,461,186 → 23,351,934 → 23,419,266 → 27,022,398 — unresolved within range

Continued fraction of √n

√1,065,006 = [1031; (1, 113, 1, 1, 1, 228, 1, 1, 1, 113, 1, 2062)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million sixty-five thousand six
Ordinal
1065006th
Binary
100000100000000101110
Octal
4040056
Hexadecimal
0x10402E
Base64
EEAu
One's complement
4,293,902,289 (32-bit)
Scientific notation
1.065006 × 10⁶
As a duration
1,065,006 s = 12 days, 7 hours, 50 minutes, 6 seconds
In other bases
ternary (3) 2000002220200
quaternary (4) 10010000232
quinary (5) 233040011
senary (6) 34454330
septenary (7) 12023655
nonary (9) 2002820
undecimal (11) 668178
duodecimal (12) 4343a6
tridecimal (13) 2b39a7
tetradecimal (14) 1da19c
pentadecimal (15) 160856

As an angle

1,065,006° = 2,958 × 360° + 126°
126° ≈ 2.199 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零六萬五千零六
Chinese (financial)
壹佰零陸萬伍仟零陸
In other modern scripts
Eastern Arabic ١٠٦٥٠٠٦ Devanagari १०६५००६ Bengali ১০৬৫০০৬ Tamil ௧௦௬௫௦௦௬ Thai ๑๐๖๕๐๐๖ Tibetan ༡༠༦༥༠༠༦ Khmer ១០៦៥០០៦ Lao ໑໐໖໕໐໐໖ Burmese ၁၀၆၅၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1065006, here are decompositions:

  • 17 + 1064989 = 1065006
  • 29 + 1064977 = 1065006
  • 53 + 1064953 = 1065006
  • 67 + 1064939 = 1065006
  • 73 + 1064933 = 1065006
  • 79 + 1064927 = 1065006
  • 139 + 1064867 = 1065006
  • 193 + 1064813 = 1065006

Showing the first eight; more decompositions exist.

Hex color
#10402E
RGB(16, 64, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.64.46.

Address
0.16.64.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.64.46

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 6, 5006 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5006-06-01 (DMMYYYY (Euro, single-digit day))
  • 5006-10-06 (MMDYYYY (US, single-digit day))
  • 5006-06-10 (DDMYYYY (Euro, single-digit month))
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 1,065,006 and was likely granted around 1913.

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°.