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1,055,112

1,055,112 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.).

1,055,112 (one million fifty-five thousand one hundred twelve) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 43,963. Its proper divisors sum to 1,582,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101988.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
2,115,501
Square (n²)
1,113,261,332,544
Cube (n³)
1,174,615,391,103,164,928
Divisor count
16
σ(n) — sum of divisors
2,637,840
φ(n) — Euler's totient
351,696
Sum of prime factors
43,972

Primality

Prime factorization: 2 3 × 3 × 43963

Nearest primes: 1,055,083 (−29) · 1,055,113 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 43963 · 87926 · 131889 · 175852 · 263778 · 351704 · 527556 (half) · 1055112
Aliquot sum (sum of proper divisors): 1,582,728
Factor pairs (a × b = 1,055,112)
1 × 1055112
2 × 527556
3 × 351704
4 × 263778
6 × 175852
8 × 131889
12 × 87926
24 × 43963
First multiples
1,055,112 · 2,110,224 (double) · 3,165,336 · 4,220,448 · 5,275,560 · 6,330,672 · 7,385,784 · 8,440,896 · 9,496,008 · 10,551,120

Sums & aliquot sequence

As consecutive integers: 351,703 + 351,704 + 351,705 65,937 + 65,938 + … + 65,952 21,958 + 21,959 + … + 22,005
Aliquot sequence: 1,055,112 → 1,582,728 → 2,939,832 → 6,669,768 → 13,591,032 → 29,416,968 → 61,637,112 → 113,503,128 → 170,254,752 → 276,664,224 → 453,970,464 → 769,918,944 → 1,251,118,536 → 2,254,302,264 → 3,381,453,456 → 5,353,968,096 → 9,886,016,664 — unresolved within range

Continued fraction of √n

√1,055,112 = [1027; (5, 2, 1, 3, 36, 2, 2, 2, 2, 4, 3, 41, 1, 1, 1, 1, 1, 1, 8, 3, 1, 1, 2, 35, …)]

Representations

In words
one million fifty-five thousand one hundred twelve
Ordinal
1055112th
Binary
100000001100110001000
Octal
4014610
Hexadecimal
0x101988
Base64
EBmI
One's complement
4,293,912,183 (32-bit)
Scientific notation
1.055112 × 10⁶
As a duration
1,055,112 s = 12 days, 5 hours, 5 minutes, 12 seconds
In other bases
ternary (3) 1222121100020
quaternary (4) 10001212020
quinary (5) 232230422
senary (6) 34340440
septenary (7) 11653062
nonary (9) 1877306
undecimal (11) 6607a3
duodecimal (12) 42a720
tridecimal (13) 2ac336
tetradecimal (14) 1d6732
pentadecimal (15) 15c95c

As an angle

1,055,112° = 2,930 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Chinese
一百零五萬五千一百一十二
Chinese (financial)
壹佰零伍萬伍仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٥٥١١٢ Devanagari १०५५११२ Bengali ১০৫৫১১২ Tamil ௧௦௫௫௧௧௨ Thai ๑๐๕๕๑๑๒ Tibetan ༡༠༥༥༡༡༢ Khmer ១០៥៥១១២ Lao ໑໐໕໕໑໑໒ Burmese ၁၀၅၅၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055112, here are decompositions:

  • 29 + 1055083 = 1055112
  • 73 + 1055039 = 1055112
  • 181 + 1054931 = 1055112
  • 269 + 1054843 = 1055112
  • 281 + 1054831 = 1055112
  • 293 + 1054819 = 1055112
  • 379 + 1054733 = 1055112
  • 389 + 1054723 = 1055112

Showing the first eight; more decompositions exist.

Hex color
#101988
RGB(16, 25, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.25.136.

Address
0.16.25.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.25.136

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 5112 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5112-05-01 (DMMYYYY (Euro, single-digit day))
  • 5112-10-05 (MMDYYYY (US, single-digit day))
  • 5112-05-10 (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 1,055,112 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1055112 first appears in π at position 128,010 of the decimal expansion (the 128,010ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.