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1,053,442

1,053,442 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.).

1,053,442 (one million fifty-three thousand four hundred forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 31 × 1,307. Written other ways, in hexadecimal, 0x101302.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
2,443,501
Square (n²)
1,109,740,047,364
Cube (n³)
1,169,046,774,975,226,888
Divisor count
16
σ(n) — sum of divisors
1,757,952
φ(n) — Euler's totient
470,160
Sum of prime factors
1,353

Primality

Prime factorization: 2 × 13 × 31 × 1307

Nearest primes: 1,053,421 (−21) · 1,053,449 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 26 · 31 · 62 · 403 · 806 · 1307 · 2614 · 16991 · 33982 · 40517 · 81034 · 526721 (half) · 1053442
Aliquot sum (sum of proper divisors): 704,510
Factor pairs (a × b = 1,053,442)
1 × 1053442
2 × 526721
13 × 81034
26 × 40517
31 × 33982
62 × 16991
403 × 2614
806 × 1307
First multiples
1,053,442 · 2,106,884 (double) · 3,160,326 · 4,213,768 · 5,267,210 · 6,320,652 · 7,374,094 · 8,427,536 · 9,480,978 · 10,534,420

Sums & aliquot sequence

As consecutive integers: 263,359 + 263,360 + 263,361 + 263,362 81,028 + 81,029 + … + 81,040 33,967 + 33,968 + … + 33,997 20,233 + 20,234 + … + 20,284
Aliquot sequence: 1,053,442 704,510 563,626 413,270 515,098 301,382 165,370 145,670 154,138 77,072 72,286 38,594 21,886 12,098 6,910 5,546 3,094 — unresolved within range

Continued fraction of √n

√1,053,442 = [1026; (2, 1, 2, 8, 2, 3, 2, 1, 5, 1, 2, 3, 9, 1, 1, 10, 4, 1, 1, 32, 1, 1, 4, 10, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one million fifty-three thousand four hundred forty-two
Ordinal
1053442nd
Binary
100000001001100000010
Octal
4011402
Hexadecimal
0x101302
Base64
EBMC
One's complement
4,293,913,853 (32-bit)
Scientific notation
1.053442 × 10⁶
As a duration
1,053,442 s = 12 days, 4 hours, 37 minutes, 22 seconds
In other bases
ternary (3) 1222112001101
quaternary (4) 10001030002
quinary (5) 232202232
senary (6) 34325014
septenary (7) 11645155
nonary (9) 1875041
undecimal (11) 65a515
duodecimal (12) 42976a
tridecimal (13) 2ab650
tetradecimal (14) 1d5c9c
pentadecimal (15) 15c1e7
Palindromic in base 5

As an angle

1,053,442° = 2,926 × 360° + 82°
82° ≈ 1.431 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬三千四百四十二
Chinese (financial)
壹佰零伍萬參仟肆佰肆拾貳
In other modern scripts
Eastern Arabic ١٠٥٣٤٤٢ Devanagari १०५३४४२ Bengali ১০৫৩৪৪২ Tamil ௧௦௫௩௪௪௨ Thai ๑๐๕๓๔๔๒ Tibetan ༡༠༥༣༤༤༢ Khmer ១០៥៣៤៤២ Lao ໑໐໕໓໔໔໒ Burmese ၁၀၅၃၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053442, here are decompositions:

  • 41 + 1053401 = 1053442
  • 59 + 1053383 = 1053442
  • 149 + 1053293 = 1053442
  • 179 + 1053263 = 1053442
  • 251 + 1053191 = 1053442
  • 263 + 1053179 = 1053442
  • 353 + 1053089 = 1053442
  • 359 + 1053083 = 1053442

Showing the first eight; more decompositions exist.

Hex color
#101302
RGB(16, 19, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.19.2.

Address
0.16.19.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.19.2

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 3442 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3442-05-01 (DMMYYYY (Euro, single-digit day))
  • 3442-10-05 (MMDYYYY (US, single-digit day))
  • 3442-05-10 (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 1,053,442 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°.