number.wiki
Live analysis

1,055,056

1,055,056 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.).

1,055,056 (one million fifty-five thousand fifty-six) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 23 × 47 × 61. Its proper divisors sum to 1,159,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101950.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
6,505,501
Square (n²)
1,113,143,163,136
Cube (n³)
1,174,428,373,125,615,616
Divisor count
40
σ(n) — sum of divisors
2,214,144
φ(n) — Euler's totient
485,760
Sum of prime factors
139

Primality

Prime factorization: 2 4 × 23 × 47 × 61

Nearest primes: 1,055,039 (−17) · 1,055,057 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 16 · 23 · 46 · 47 · 61 · 92 · 94 · 122 · 184 · 188 · 244 · 368 · 376 · 488 · 752 · 976 · 1081 · 1403 · 2162 · 2806 · 2867 · 4324 · 5612 · 5734 · 8648 · 11224 · 11468 · 17296 · 22448 · 22936 · 45872 · 65941 · 131882 · 263764 · 527528 (half) · 1055056
Aliquot sum (sum of proper divisors): 1,159,088
Factor pairs (a × b = 1,055,056)
1 × 1055056
2 × 527528
4 × 263764
8 × 131882
16 × 65941
23 × 45872
46 × 22936
47 × 22448
61 × 17296
92 × 11468
94 × 11224
122 × 8648
184 × 5734
188 × 5612
244 × 4324
368 × 2867
376 × 2806
488 × 2162
752 × 1403
976 × 1081
First multiples
1,055,056 · 2,110,112 (double) · 3,165,168 · 4,220,224 · 5,275,280 · 6,330,336 · 7,385,392 · 8,440,448 · 9,495,504 · 10,550,560

Sums & aliquot sequence

As consecutive integers: 45,861 + 45,862 + … + 45,883 32,955 + 32,956 + … + 32,986 22,425 + 22,426 + … + 22,471 17,266 + 17,267 + … + 17,326
Aliquot sequence: 1,055,056 → 1,159,088 → 1,459,792 → 1,368,586 → 684,296 → 654,904 → 591,416 → 704,584 → 662,516 → 510,544 → 537,380 → 606,868 → 455,158 → 334,106 → 172,954 → 86,480 → 127,792 — unresolved within range

Continued fraction of √n

√1,055,056 = [1027; (6, 3, 1, 1, 4, 1, 2, 5, 2, 6, 1, 1, 1, 6, 2, 5, 2, 1, 4, 1, 1, 3, 6, 2054)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand fifty-six
Ordinal
1055056th
Binary
100000001100101010000
Octal
4014520
Hexadecimal
0x101950
Base64
EBlQ
One's complement
4,293,912,239 (32-bit)
Scientific notation
1.055056 × 10⁶
As a duration
1,055,056 s = 12 days, 5 hours, 4 minutes, 16 seconds
In other bases
ternary (3) 1222121021011
quaternary (4) 10001211100
quinary (5) 232230211
senary (6) 34340304
septenary (7) 11652652
nonary (9) 1877234
undecimal (11) 660752
duodecimal (12) 42a694
tridecimal (13) 2ac2c2
tetradecimal (14) 1d66d2
pentadecimal (15) 15c921

As an angle

1,055,056° = 2,930 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千零五十六
Chinese (financial)
壹佰零伍萬伍仟零伍拾陸
In other modern scripts
Eastern Arabic ١٠٥٥٠٥٦ Devanagari १०५५०५६ Bengali ১০৫৫০৫৬ Tamil ௧௦௫௫௦௫௬ Thai ๑๐๕๕๐๕๖ Tibetan ༡༠༥༥༠༥༦ Khmer ១០៥៥០៥៦ Lao ໑໐໕໕໐໕໖ Burmese ၁၀၅၅၀၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055056, here are decompositions:

  • 17 + 1055039 = 1055056
  • 383 + 1054673 = 1055056
  • 389 + 1054667 = 1055056
  • 449 + 1054607 = 1055056
  • 479 + 1054577 = 1055056
  • 599 + 1054457 = 1055056
  • 617 + 1054439 = 1055056
  • 683 + 1054373 = 1055056

Showing the first eight; more decompositions exist.

Hex color
#101950
RGB(16, 25, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.25.80.

Address
0.16.25.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.25.80

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 5056 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5056-05-01 (DMMYYYY (Euro, single-digit day))
  • 5056-10-05 (MMDYYYY (US, single-digit day))
  • 5056-05-10 (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 1,055,056 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°.