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1,053,966

1,053,966 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.).

1,053,966 (one million fifty-three thousand nine hundred sixty-six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 17 × 10,333. Its proper divisors sum to 1,178,178, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10150E.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
6,693,501
Square (n²)
1,110,844,329,156
Cube (n³)
1,170,792,154,223,232,696
Divisor count
16
σ(n) — sum of divisors
2,232,144
φ(n) — Euler's totient
330,624
Sum of prime factors
10,355

Primality

Prime factorization: 2 × 3 × 17 × 10333

Nearest primes: 1,053,959 (−7) · 1,053,967 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 17 · 34 · 51 · 102 · 10333 · 20666 · 30999 · 61998 · 175661 · 351322 · 526983 (half) · 1053966
Aliquot sum (sum of proper divisors): 1,178,178
Factor pairs (a × b = 1,053,966)
1 × 1053966
2 × 526983
3 × 351322
6 × 175661
17 × 61998
34 × 30999
51 × 20666
102 × 10333
First multiples
1,053,966 · 2,107,932 (double) · 3,161,898 · 4,215,864 · 5,269,830 · 6,323,796 · 7,377,762 · 8,431,728 · 9,485,694 · 10,539,660

Sums & aliquot sequence

As consecutive integers: 351,321 + 351,322 + 351,323 263,490 + 263,491 + 263,492 + 263,493 87,825 + 87,826 + … + 87,836 61,990 + 61,991 + … + 62,006
Aliquot sequence: 1,053,966 1,178,178 1,193,502 1,334,130 2,325,774 2,806,386 3,391,950 5,020,458 5,049,462 5,967,690 8,573,430 12,002,874 14,554,566 20,572,218 25,525,152 51,405,408 98,529,552 — unresolved within range

Continued fraction of √n

√1,053,966 = [1026; (1, 1, 1, 2, 4, 7, 3, 1, 3, 2, 1, 1, 19, 1, 2, 1, 4, 1, 7, 4, 2, 2, 1, 4, …)]

Representations

In words
one million fifty-three thousand nine hundred sixty-six
Ordinal
1053966th
Binary
100000001010100001110
Octal
4012416
Hexadecimal
0x10150E
Base64
EBUO
One's complement
4,293,913,329 (32-bit)
Scientific notation
1.053966 × 10⁶
As a duration
1,053,966 s = 12 days, 4 hours, 46 minutes, 6 seconds
In other bases
ternary (3) 1222112202210
quaternary (4) 10001110032
quinary (5) 232211331
senary (6) 34331250
septenary (7) 11646534
nonary (9) 1875683
undecimal (11) 65a951
duodecimal (12) 429b26
tridecimal (13) 2ab964
tetradecimal (14) 1d6154
pentadecimal (15) 15c446

As an angle

1,053,966° = 2,927 × 360° + 246°
246° ≈ 4.294 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬三千九百六十六
Chinese (financial)
壹佰零伍萬參仟玖佰陸拾陸
In other modern scripts
Eastern Arabic ١٠٥٣٩٦٦ Devanagari १०५३९६६ Bengali ১০৫৩৯৬৬ Tamil ௧௦௫௩௯௬௬ Thai ๑๐๕๓๙๖๖ Tibetan ༡༠༥༣༩༦༦ Khmer ១០៥៣៩៦៦ Lao ໑໐໕໓໙໖໖ Burmese ၁၀၅၃၉၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053966, here are decompositions:

  • 7 + 1053959 = 1053966
  • 13 + 1053953 = 1053966
  • 103 + 1053863 = 1053966
  • 139 + 1053827 = 1053966
  • 149 + 1053817 = 1053966
  • 157 + 1053809 = 1053966
  • 197 + 1053769 = 1053966
  • 227 + 1053739 = 1053966

Showing the first eight; more decompositions exist.

Hex color
#10150E
RGB(16, 21, 14)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.21.14.

Address
0.16.21.14
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.21.14

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 3966 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3966-05-01 (DMMYYYY (Euro, single-digit day))
  • 3966-10-05 (MMDYYYY (US, single-digit day))
  • 3966-05-10 (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 1,053,966 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°.