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1,055,384

1,055,384 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.).

1,055,384 (one million fifty-five thousand three hundred eighty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 67 × 179. Its proper divisors sum to 1,147,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101A98.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
4,835,501
Square (n²)
1,113,835,387,456
Cube (n³)
1,175,524,046,554,863,104
Divisor count
32
σ(n) — sum of divisors
2,203,200
φ(n) — Euler's totient
469,920
Sum of prime factors
263

Primality

Prime factorization: 2 3 × 11 × 67 × 179

Nearest primes: 1,055,371 (−13) · 1,055,387 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 67 · 88 · 134 · 179 · 268 · 358 · 536 · 716 · 737 · 1432 · 1474 · 1969 · 2948 · 3938 · 5896 · 7876 · 11993 · 15752 · 23986 · 47972 · 95944 · 131923 · 263846 · 527692 (half) · 1055384
Aliquot sum (sum of proper divisors): 1,147,816
Factor pairs (a × b = 1,055,384)
1 × 1055384
2 × 527692
4 × 263846
8 × 131923
11 × 95944
22 × 47972
44 × 23986
67 × 15752
88 × 11993
134 × 7876
179 × 5896
268 × 3938
358 × 2948
536 × 1969
716 × 1474
737 × 1432
First multiples
1,055,384 · 2,110,768 (double) · 3,166,152 · 4,221,536 · 5,276,920 · 6,332,304 · 7,387,688 · 8,443,072 · 9,498,456 · 10,553,840

Sums & aliquot sequence

As consecutive integers: 95,939 + 95,940 + … + 95,949 65,954 + 65,955 + … + 65,969 15,719 + 15,720 + … + 15,785 5,909 + 5,910 + … + 6,084
Aliquot sequence: 1,055,384 → 1,147,816 → 1,004,354 → 618,106 → 341,114 → 170,560 → 277,496 → 242,824 → 217,976 → 228,064 → 221,000 → 368,680 → 525,920 → 789,520 → 1,085,360 → 1,438,288 → 1,367,460 — unresolved within range

Continued fraction of √n

√1,055,384 = [1027; (3, 7, 3, 2054)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand three hundred eighty-four
Ordinal
1055384th
Binary
100000001101010011000
Octal
4015230
Hexadecimal
0x101A98
Base64
EBqY
One's complement
4,293,911,911 (32-bit)
Scientific notation
1.055384 × 10⁶
As a duration
1,055,384 s = 12 days, 5 hours, 9 minutes, 44 seconds
In other bases
ternary (3) 1222121201022
quaternary (4) 10001222120
quinary (5) 232233014
senary (6) 34342012
septenary (7) 11653631
nonary (9) 1877638
undecimal (11) 660a20
duodecimal (12) 42a908
tridecimal (13) 2ac4b5
tetradecimal (14) 1d6888
pentadecimal (15) 15ca8e

As an angle

1,055,384° = 2,931 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千三百八十四
Chinese (financial)
壹佰零伍萬伍仟參佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٥٥٣٨٤ Devanagari १०५५३८४ Bengali ১০৫৫৩৮৪ Tamil ௧௦௫௫௩௮௪ Thai ๑๐๕๕๓๘๔ Tibetan ༡༠༥༥༣༨༤ Khmer ១០៥៥៣៨៤ Lao ໑໐໕໕໓໘໔ Burmese ၁၀၅၅၃၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055384, here are decompositions:

  • 13 + 1055371 = 1055384
  • 37 + 1055347 = 1055384
  • 151 + 1055233 = 1055384
  • 193 + 1055191 = 1055384
  • 241 + 1055143 = 1055384
  • 271 + 1055113 = 1055384
  • 307 + 1055077 = 1055384
  • 367 + 1055017 = 1055384

Showing the first eight; more decompositions exist.

Hex color
#101A98
RGB(16, 26, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.26.152.

Address
0.16.26.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.26.152

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 5384 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5384-05-01 (DMMYYYY (Euro, single-digit day))
  • 5384-10-05 (MMDYYYY (US, single-digit day))
  • 5384-05-10 (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 1,055,384 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°.