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1,056,066

1,056,066 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.).

1,056,066 (one million fifty-six thousand sixty-six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 16,001. Its proper divisors sum to 1,248,222, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101D42.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
6,606,501
Square (n²)
1,115,275,396,356
Cube (n³)
1,177,804,426,728,095,496
Divisor count
16
σ(n) — sum of divisors
2,304,288
φ(n) — Euler's totient
320,000
Sum of prime factors
16,017

Primality

Prime factorization: 2 × 3 × 11 × 16001

Nearest primes: 1,056,061 (−5) · 1,056,071 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 16001 · 32002 · 48003 · 96006 · 176011 · 352022 · 528033 (half) · 1056066
Aliquot sum (sum of proper divisors): 1,248,222
Factor pairs (a × b = 1,056,066)
1 × 1056066
2 × 528033
3 × 352022
6 × 176011
11 × 96006
22 × 48003
33 × 32002
66 × 16001
First multiples
1,056,066 · 2,112,132 (double) · 3,168,198 · 4,224,264 · 5,280,330 · 6,336,396 · 7,392,462 · 8,448,528 · 9,504,594 · 10,560,660

Sums & aliquot sequence

As consecutive integers: 352,021 + 352,022 + 352,023 264,015 + 264,016 + 264,017 + 264,018 96,001 + 96,002 + … + 96,011 88,000 + 88,001 + … + 88,011
Aliquot sequence: 1,056,066 → 1,248,222 → 1,248,234 → 1,457,238 → 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 — unresolved within range

Continued fraction of √n

√1,056,066 = [1027; (1, 1, 1, 6, 3, 3, 19, 3, 1, 1, 1, 59, 1, 4, 2, 1, 4, 2, 10, 7, 62, 7, 10, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one million fifty-six thousand sixty-six
Ordinal
1056066th
Binary
100000001110101000010
Octal
4016502
Hexadecimal
0x101D42
Base64
EB1C
One's complement
4,293,911,229 (32-bit)
Scientific notation
1.056066 × 10⁶
As a duration
1,056,066 s = 12 days, 5 hours, 21 minutes, 6 seconds
In other bases
ternary (3) 1222122122120
quaternary (4) 10001311002
quinary (5) 232243231
senary (6) 34345110
septenary (7) 11655624
nonary (9) 1878576
undecimal (11) 661490
duodecimal (12) 42b196
tridecimal (13) 2ac8bb
tetradecimal (14) 1d6c14
pentadecimal (15) 15cd96

As an angle

1,056,066° = 2,933 × 360° + 186°
186° ≈ 3.246 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬六千零六十六
Chinese (financial)
壹佰零伍萬陸仟零陸拾陸
In other modern scripts
Eastern Arabic ١٠٥٦٠٦٦ Devanagari १०५६०६६ Bengali ১০৫৬০৬৬ Tamil ௧௦௫௬௦௬௬ Thai ๑๐๕๖๐๖๖ Tibetan ༡༠༥༦༠༦༦ Khmer ១០៥៦០៦៦ Lao ໑໐໕໖໐໖໖ Burmese ၁၀၅၆၀၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056066, here are decompositions:

  • 5 + 1056061 = 1056066
  • 13 + 1056053 = 1056066
  • 17 + 1056049 = 1056066
  • 19 + 1056047 = 1056066
  • 47 + 1056019 = 1056066
  • 59 + 1056007 = 1056066
  • 97 + 1055969 = 1056066
  • 107 + 1055959 = 1056066

Showing the first eight; more decompositions exist.

Hex color
#101D42
RGB(16, 29, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.66.

Address
0.16.29.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.29.66

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 6066 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6066-05-01 (DMMYYYY (Euro, single-digit day))
  • 6066-10-05 (MMDYYYY (US, single-digit day))
  • 6066-05-10 (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 1,056,066 and was likely granted around 1912.

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°.