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1,055,054

1,055,054 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.).

1,055,054 (one million fifty-five thousand fifty-four) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2 × 7 × 11 × 13 × 17 × 31. Its proper divisors sum to 1,267,378, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10194E.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
4,505,501
Square (n²)
1,113,138,942,916
Cube (n³)
1,174,421,694,279,297,464
Divisor count
64
σ(n) — sum of divisors
2,322,432
φ(n) — Euler's totient
345,600
Sum of prime factors
81

Primality

Prime factorization: 2 × 7 × 11 × 13 × 17 × 31

Nearest primes: 1,055,039 (−15) · 1,055,057 (+3)

Divisors & multiples

All divisors (64)
1 · 2 · 7 · 11 · 13 · 14 · 17 · 22 · 26 · 31 · 34 · 62 · 77 · 91 · 119 · 143 · 154 · 182 · 187 · 217 · 221 · 238 · 286 · 341 · 374 · 403 · 434 · 442 · 527 · 682 · 806 · 1001 · 1054 · 1309 · 1547 · 2002 · 2387 · 2431 · 2618 · 2821 · 3094 · 3689 · 4433 · 4774 · 4862 · 5642 · 5797 · 6851 · 7378 · 8866 · 11594 · 13702 · 17017 · 31031 · 34034 · 40579 · 47957 · 62062 · 75361 · 81158 · 95914 · 150722 · 527527 (half) · 1055054
Aliquot sum (sum of proper divisors): 1,267,378
Factor pairs (a × b = 1,055,054)
1 × 1055054
2 × 527527
7 × 150722
11 × 95914
13 × 81158
14 × 75361
17 × 62062
22 × 47957
26 × 40579
31 × 34034
34 × 31031
62 × 17017
77 × 13702
91 × 11594
119 × 8866
143 × 7378
154 × 6851
182 × 5797
187 × 5642
217 × 4862
221 × 4774
238 × 4433
286 × 3689
341 × 3094
374 × 2821
403 × 2618
434 × 2431
442 × 2387
527 × 2002
682 × 1547
806 × 1309
1001 × 1054
First multiples
1,055,054 · 2,110,108 (double) · 3,165,162 · 4,220,216 · 5,275,270 · 6,330,324 · 7,385,378 · 8,440,432 · 9,495,486 · 10,550,540

Sums & aliquot sequence

As consecutive integers: 263,762 + 263,763 + 263,764 + 263,765 150,719 + 150,720 + … + 150,725 95,909 + 95,910 + … + 95,919 81,152 + 81,153 + … + 81,164
Aliquot sequence: 1,055,054 → 1,267,378 → 905,294 → 557,146 → 301,274 → 177,274 → 90,854 → 45,430 → 58,250 → 51,262 → 31,034 → 16,486 → 8,246 → 7,114 → 3,560 → 4,540 → 5,036 — unresolved within range

Continued fraction of √n

√1,055,054 = [1027; (6, 3, 8, 3, 6, 2054)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand fifty-four
Ordinal
1055054th
Binary
100000001100101001110
Octal
4014516
Hexadecimal
0x10194E
Base64
EBlO
One's complement
4,293,912,241 (32-bit)
Scientific notation
1.055054 × 10⁶
As a duration
1,055,054 s = 12 days, 5 hours, 4 minutes, 14 seconds
In other bases
ternary (3) 1222121021002
quaternary (4) 10001211032
quinary (5) 232230204
senary (6) 34340302
septenary (7) 11652650
nonary (9) 1877232
undecimal (11) 660750
duodecimal (12) 42a692
tridecimal (13) 2ac2c0
tetradecimal (14) 1d66d0
pentadecimal (15) 15c91e

As an angle

1,055,054° = 2,930 × 360° + 254°
254° ≈ 4.433 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千零五十四
Chinese (financial)
壹佰零伍萬伍仟零伍拾肆
In other modern scripts
Eastern Arabic ١٠٥٥٠٥٤ Devanagari १०५५०५४ Bengali ১০৫৫০৫৪ Tamil ௧௦௫௫௦௫௪ Thai ๑๐๕๕๐๕๔ Tibetan ༡༠༥༥༠༥༤ Khmer ១០៥៥០៥៤ Lao ໑໐໕໕໐໕໔ Burmese ၁၀၅၅၀၅၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055054, here are decompositions:

  • 37 + 1055017 = 1055054
  • 61 + 1054993 = 1055054
  • 97 + 1054957 = 1055054
  • 103 + 1054951 = 1055054
  • 127 + 1054927 = 1055054
  • 151 + 1054903 = 1055054
  • 211 + 1054843 = 1055054
  • 223 + 1054831 = 1055054

Showing the first eight; more decompositions exist.

Hex color
#10194E
RGB(16, 25, 78)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.25.78.

Address
0.16.25.78
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.25.78

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 5054 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5054-05-01 (DMMYYYY (Euro, single-digit day))
  • 5054-10-05 (MMDYYYY (US, single-digit day))
  • 5054-05-10 (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 1,055,054 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°.