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1,055,348

1,055,348 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.).

1,055,348 (one million fifty-five thousand three hundred forty-eight) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 37,691. Its proper divisors sum to 1,055,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101A74.

Abundant Number Arithmetic Number Cube-Free Evil 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
8,435,501
Square (n²)
1,113,759,401,104
Cube (n³)
1,175,403,756,436,304,192
Divisor count
12
σ(n) — sum of divisors
2,110,752
φ(n) — Euler's totient
452,280
Sum of prime factors
37,702

Primality

Prime factorization: 2 2 × 7 × 37691

Nearest primes: 1,055,347 (−1) · 1,055,359 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 37691 · 75382 · 150764 · 263837 · 527674 (half) · 1055348
Aliquot sum (sum of proper divisors): 1,055,404
Factor pairs (a × b = 1,055,348)
1 × 1055348
2 × 527674
4 × 263837
7 × 150764
14 × 75382
28 × 37691
First multiples
1,055,348 · 2,110,696 (double) · 3,166,044 · 4,221,392 · 5,276,740 · 6,332,088 · 7,387,436 · 8,442,784 · 9,498,132 · 10,553,480

Sums & aliquot sequence

As consecutive integers: 150,761 + 150,762 + … + 150,767 131,915 + 131,916 + … + 131,922 18,818 + 18,819 + … + 18,873
Aliquot sequence: 1,055,348 → 1,055,404 → 1,055,460 → 2,391,900 → 6,107,556 → 13,197,660 → 30,440,172 → 52,184,748 → 99,628,116 → 166,047,084 → 338,951,256 → 629,481,384 → 1,352,030,616 → 2,548,178,424 → 5,223,467,016 → 9,522,202,104 → 17,657,509,896 — keeps growing

Continued fraction of √n

√1,055,348 = [1027; (3, 3, 7, 3, 1, 1, 4, 2, 1, 72, 1, 2, 4, 1, 1, 3, 7, 3, 3, 2054)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand three hundred forty-eight
Ordinal
1055348th
Binary
100000001101001110100
Octal
4015164
Hexadecimal
0x101A74
Base64
EBp0
One's complement
4,293,911,947 (32-bit)
Scientific notation
1.055348 × 10⁶
As a duration
1,055,348 s = 12 days, 5 hours, 9 minutes, 8 seconds
In other bases
ternary (3) 1222121122222
quaternary (4) 10001221310
quinary (5) 232232343
senary (6) 34341512
septenary (7) 11653550
nonary (9) 1877588
undecimal (11) 660998
duodecimal (12) 42a898
tridecimal (13) 2ac488
tetradecimal (14) 1d6860
pentadecimal (15) 15ca68

As an angle

1,055,348° = 2,931 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千三百四十八
Chinese (financial)
壹佰零伍萬伍仟參佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٥٥٣٤٨ Devanagari १०५५३४८ Bengali ১০৫৫৩৪৮ Tamil ௧௦௫௫௩௪௮ Thai ๑๐๕๕๓๔๘ Tibetan ༡༠༥༥༣༤༨ Khmer ១០៥៥៣៤៨ Lao ໑໐໕໕໓໔໘ Burmese ၁၀၅၅၃၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055348, here are decompositions:

  • 79 + 1055269 = 1055348
  • 97 + 1055251 = 1055348
  • 157 + 1055191 = 1055348
  • 181 + 1055167 = 1055348
  • 211 + 1055137 = 1055348
  • 271 + 1055077 = 1055348
  • 331 + 1055017 = 1055348
  • 397 + 1054951 = 1055348

Showing the first eight; more decompositions exist.

Hex color
#101A74
RGB(16, 26, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.26.116.

Address
0.16.26.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.26.116

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 5348 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5348-05-01 (DMMYYYY (Euro, single-digit day))
  • 5348-10-05 (MMDYYYY (US, single-digit day))
  • 5348-05-10 (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 1,055,348 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°.