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1,050,050

1,050,050 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.).

1,050,050 (one million fifty thousand fifty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2 × 5² × 21,001. Written other ways, in hexadecimal, 0x1005C2.

Cube-Free Deficient Number Evil Number Gapful Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
500,501
Square (n²)
1,102,605,002,500
Cube (n³)
1,157,790,382,875,125,000
Divisor count
12
σ(n) — sum of divisors
1,953,186
φ(n) — Euler's totient
420,000
Sum of prime factors
21,013

Primality

Prime factorization: 2 × 5 2 × 21001

Nearest primes: 1,050,041 (−9) · 1,050,053 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 5 · 10 · 25 · 50 · 21001 · 42002 · 105005 · 210010 · 525025 (half) · 1050050
Aliquot sum (sum of proper divisors): 903,136
Factor pairs (a × b = 1,050,050)
1 × 1050050
2 × 525025
5 × 210010
10 × 105005
25 × 42002
50 × 21001
First multiples
1,050,050 · 2,100,100 (double) · 3,150,150 · 4,200,200 · 5,250,250 · 6,300,300 · 7,350,350 · 8,400,400 · 9,450,450 · 10,500,500

Sums & aliquot sequence

As a sum of two squares: 245² + 995² = 401² + 943² = 649² + 793²
As consecutive integers: 262,511 + 262,512 + 262,513 + 262,514 210,008 + 210,009 + 210,010 + 210,011 + 210,012 52,493 + 52,494 + … + 52,512 41,990 + 41,991 + … + 42,014
Aliquot sequence: 1,050,050 903,136 1,033,736 1,208,344 1,076,576 1,168,744 1,022,666 511,336 634,904 618,496 626,536 548,234 274,120 503,480 660,760 826,040 1,059,640 — unresolved within range

Continued fraction of √n

√1,050,050 = [1024; (1, 2, 1, 1, 3, 2, 1, 3, 5, 1, 1, 2, 2, 3, 1, 49, 4, 1, 2, 2, 1, 4, 49, 1, …)]

Period length 39 — the block in parentheses repeats forever.

Representations

In words
one million fifty thousand fifty
Ordinal
1050050th
Binary
100000000010111000010
Octal
4002702
Hexadecimal
0x1005C2
Base64
EAXC
One's complement
4,293,917,245 (32-bit)
Scientific notation
1.05005 × 10⁶
As a duration
1,050,050 s = 12 days, 3 hours, 40 minutes, 50 seconds
In other bases
ternary (3) 1222100101202
quaternary (4) 10000113002
quinary (5) 232100200
senary (6) 34301202
septenary (7) 11632241
nonary (9) 1870352
undecimal (11) 657a11
duodecimal (12) 427802
tridecimal (13) 2a9c41
tetradecimal (14) 1d4958
pentadecimal (15) 15b1d5

As an angle

1,050,050° = 2,916 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬零五十
Chinese (financial)
壹佰零伍萬零伍拾
In other modern scripts
Eastern Arabic ١٠٥٠٠٥٠ Devanagari १०५००५० Bengali ১০৫০০৫০ Tamil ௧௦௫௦௦௫௦ Thai ๑๐๕๐๐๕๐ Tibetan ༡༠༥༠༠༥༠ Khmer ១០៥០០៥០ Lao ໑໐໕໐໐໕໐ Burmese ၁၀၅၀၀၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050050, here are decompositions:

  • 19 + 1050031 = 1050050
  • 37 + 1050013 = 1050050
  • 73 + 1049977 = 1050050
  • 97 + 1049953 = 1050050
  • 109 + 1049941 = 1050050
  • 151 + 1049899 = 1050050
  • 193 + 1049857 = 1050050
  • 223 + 1049827 = 1050050

Showing the first eight; more decompositions exist.

Hex color
#1005C2
RGB(16, 5, 194)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.5.194.

Address
0.16.5.194
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.5.194

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 0050 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0050-05-01 (DMMYYYY (Euro, single-digit day))
  • 0050-10-05 (MMDYYYY (US, single-digit day))
  • 0050-05-10 (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 1,050,050 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°.