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1,055,338

1,055,338 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.).

1,055,338 (one million fifty-five thousand three hundred thirty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 47 × 103 × 109. Written other ways, in hexadecimal, 0x101A6A.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
8,335,501
Square (n²)
1,113,738,294,244
Cube (n³)
1,175,370,343,970,874,472
Divisor count
16
σ(n) — sum of divisors
1,647,360
φ(n) — Euler's totient
506,736
Sum of prime factors
261

Primality

Prime factorization: 2 × 47 × 103 × 109

Nearest primes: 1,055,321 (−17) · 1,055,347 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 47 · 94 · 103 · 109 · 206 · 218 · 4841 · 5123 · 9682 · 10246 · 11227 · 22454 · 527669 (half) · 1055338
Aliquot sum (sum of proper divisors): 592,022
Factor pairs (a × b = 1,055,338)
1 × 1055338
2 × 527669
47 × 22454
94 × 11227
103 × 10246
109 × 9682
206 × 5123
218 × 4841
First multiples
1,055,338 · 2,110,676 (double) · 3,166,014 · 4,221,352 · 5,276,690 · 6,332,028 · 7,387,366 · 8,442,704 · 9,498,042 · 10,553,380

Sums & aliquot sequence

As consecutive integers: 263,833 + 263,834 + 263,835 + 263,836 22,431 + 22,432 + … + 22,477 10,195 + 10,196 + … + 10,297 9,628 + 9,629 + … + 9,736
Aliquot sequence: 1,055,338 → 592,022 → 296,014 → 153,266 → 78,394 → 45,446 → 25,018 → 17,894 → 10,186 → 6,518 → 3,262 → 2,354 → 1,534 → 986 → 634 → 320 → 442 — unresolved within range

Continued fraction of √n

√1,055,338 = [1027; (3, 2, 1, 2, 8, 2, 4, 3, 1, 1, 1, 16, 1, 3, 2, 2, 1, 1, 2, 1, 1, 5, 2, 2, …)]

Representations

In words
one million fifty-five thousand three hundred thirty-eight
Ordinal
1055338th
Binary
100000001101001101010
Octal
4015152
Hexadecimal
0x101A6A
Base64
EBpq
One's complement
4,293,911,957 (32-bit)
Scientific notation
1.055338 × 10⁶
As a duration
1,055,338 s = 12 days, 5 hours, 8 minutes, 58 seconds
In other bases
ternary (3) 1222121122121
quaternary (4) 10001221222
quinary (5) 232232323
senary (6) 34341454
septenary (7) 11653534
nonary (9) 1877577
undecimal (11) 660989
duodecimal (12) 42a88a
tridecimal (13) 2ac47b
tetradecimal (14) 1d6854
pentadecimal (15) 15ca5d

As an angle

1,055,338° = 2,931 × 360° + 178°
178° ≈ 3.107 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千三百三十八
Chinese (financial)
壹佰零伍萬伍仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٠٥٥٣٣٨ Devanagari १०५५३३८ Bengali ১০৫৫৩৩৮ Tamil ௧௦௫௫௩௩௮ Thai ๑๐๕๕๓๓๘ Tibetan ༡༠༥༥༣༣༨ Khmer ១០៥៥៣៣៨ Lao ໑໐໕໕໓໓໘ Burmese ၁၀၅၅၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055338, here are decompositions:

  • 17 + 1055321 = 1055338
  • 71 + 1055267 = 1055338
  • 107 + 1055231 = 1055338
  • 149 + 1055189 = 1055338
  • 197 + 1055141 = 1055338
  • 281 + 1055057 = 1055338
  • 569 + 1054769 = 1055338
  • 617 + 1054721 = 1055338

Showing the first eight; more decompositions exist.

Hex color
#101A6A
RGB(16, 26, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.26.106.

Address
0.16.26.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.26.106

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 5338 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5338-05-01 (DMMYYYY (Euro, single-digit day))
  • 5338-10-05 (MMDYYYY (US, single-digit day))
  • 5338-05-10 (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 1,055,338 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°.