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1,053,998

1,053,998 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.).

1,053,998 (one million fifty-three thousand nine hundred ninety-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 23 × 2,083. Written other ways, in hexadecimal, 0x10152E.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
35
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
8,993,501
Square (n²)
1,110,911,784,004
Cube (n³)
1,170,898,798,516,647,992
Divisor count
16
σ(n) — sum of divisors
1,800,576
φ(n) — Euler's totient
458,040
Sum of prime factors
2,119

Primality

Prime factorization: 2 × 11 × 23 × 2083

Nearest primes: 1,053,991 (−7) · 1,054,003 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 22 · 23 · 46 · 253 · 506 · 2083 · 4166 · 22913 · 45826 · 47909 · 95818 · 526999 (half) · 1053998
Aliquot sum (sum of proper divisors): 746,578
Factor pairs (a × b = 1,053,998)
1 × 1053998
2 × 526999
11 × 95818
22 × 47909
23 × 45826
46 × 22913
253 × 4166
506 × 2083
First multiples
1,053,998 · 2,107,996 (double) · 3,161,994 · 4,215,992 · 5,269,990 · 6,323,988 · 7,377,986 · 8,431,984 · 9,485,982 · 10,539,980

Sums & aliquot sequence

As consecutive integers: 263,498 + 263,499 + 263,500 + 263,501 95,813 + 95,814 + … + 95,823 45,815 + 45,816 + … + 45,837 23,933 + 23,934 + … + 23,976
Aliquot sequence: 1,053,998 746,578 533,294 266,650 229,412 177,484 133,120 210,860 266,596 255,548 207,292 168,188 141,772 121,456 113,896 109,304 111,616 — unresolved within range

Continued fraction of √n

√1,053,998 = [1026; (1, 1, 1, 4, 4, 13, 1, 4, 1, 3, 7, 1, 1, 4, 1, 10, 1, 1, 1, 6, 1, 2, 1, 2, …)]

Representations

In words
one million fifty-three thousand nine hundred ninety-eight
Ordinal
1053998th
Binary
100000001010100101110
Octal
4012456
Hexadecimal
0x10152E
Base64
EBUu
One's complement
4,293,913,297 (32-bit)
Scientific notation
1.053998 × 10⁶
As a duration
1,053,998 s = 12 days, 4 hours, 46 minutes, 38 seconds
In other bases
ternary (3) 1222112210222
quaternary (4) 10001110232
quinary (5) 232211443
senary (6) 34331342
septenary (7) 11646611
nonary (9) 1875728
undecimal (11) 65a980
duodecimal (12) 429b52
tridecimal (13) 2ab98a
tetradecimal (14) 1d6178
pentadecimal (15) 15c468

As an angle

1,053,998° = 2,927 × 360° + 278°
278° ≈ 4.852 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬三千九百九十八
Chinese (financial)
壹佰零伍萬參仟玖佰玖拾捌
In other modern scripts
Eastern Arabic ١٠٥٣٩٩٨ Devanagari १०५३९९८ Bengali ১০৫৩৯৯৮ Tamil ௧௦௫௩௯௯௮ Thai ๑๐๕๓๙๙๘ Tibetan ༡༠༥༣༩༩༨ Khmer ១០៥៣៩៩៨ Lao ໑໐໕໓໙໙໘ Burmese ၁၀၅၃၉၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053998, here are decompositions:

  • 7 + 1053991 = 1053998
  • 31 + 1053967 = 1053998
  • 181 + 1053817 = 1053998
  • 229 + 1053769 = 1053998
  • 241 + 1053757 = 1053998
  • 271 + 1053727 = 1053998
  • 307 + 1053691 = 1053998
  • 409 + 1053589 = 1053998

Showing the first eight; more decompositions exist.

Hex color
#10152E
RGB(16, 21, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.21.46.

Address
0.16.21.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.21.46

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 3998 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3998-05-01 (DMMYYYY (Euro, single-digit day))
  • 3998-10-05 (MMDYYYY (US, single-digit day))
  • 3998-05-10 (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 1,053,998 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°.