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1,056,108

1,056,108 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.).

1,056,108 (one million fifty-six thousand one hundred eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 17 × 31 × 167. Its proper divisors sum to 1,653,396, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101D6C.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
8,016,501
Square (n²)
1,115,364,107,664
Cube (n³)
1,177,944,957,016,811,712
Divisor count
48
σ(n) — sum of divisors
2,709,504
φ(n) — Euler's totient
318,720
Sum of prime factors
222

Primality

Prime factorization: 2 2 × 3 × 17 × 31 × 167

Nearest primes: 1,056,089 (−19) · 1,056,109 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 31 · 34 · 51 · 62 · 68 · 93 · 102 · 124 · 167 · 186 · 204 · 334 · 372 · 501 · 527 · 668 · 1002 · 1054 · 1581 · 2004 · 2108 · 2839 · 3162 · 5177 · 5678 · 6324 · 8517 · 10354 · 11356 · 15531 · 17034 · 20708 · 31062 · 34068 · 62124 · 88009 · 176018 · 264027 · 352036 · 528054 (half) · 1056108
Aliquot sum (sum of proper divisors): 1,653,396
Factor pairs (a × b = 1,056,108)
1 × 1056108
2 × 528054
3 × 352036
4 × 264027
6 × 176018
12 × 88009
17 × 62124
31 × 34068
34 × 31062
51 × 20708
62 × 17034
68 × 15531
93 × 11356
102 × 10354
124 × 8517
167 × 6324
186 × 5678
204 × 5177
334 × 3162
372 × 2839
501 × 2108
527 × 2004
668 × 1581
1002 × 1054
First multiples
1,056,108 · 2,112,216 (double) · 3,168,324 · 4,224,432 · 5,280,540 · 6,336,648 · 7,392,756 · 8,448,864 · 9,504,972 · 10,561,080

Sums & aliquot sequence

As consecutive integers: 352,035 + 352,036 + 352,037 132,010 + 132,011 + … + 132,017 62,116 + 62,117 + … + 62,132 43,993 + 43,994 + … + 44,016
Aliquot sequence: 1,056,108 → 1,653,396 → 2,228,748 → 3,039,732 → 4,644,126 → 5,591,034 → 6,569,478 → 8,883,882 → 13,114,614 → 13,263,306 → 17,702,454 → 26,439,882 → 34,280,118 → 41,898,042 → 52,828,902 → 81,340,698 → 81,340,710 — unresolved within range

Continued fraction of √n

√1,056,108 = [1027; (1, 2, 24, 2, 3, 16, 1, 2, 3, 41, 1, 1, 1, 4, 1, 4, 17, 15, 1, 1, 19, 4, 19, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one million fifty-six thousand one hundred eight
Ordinal
1056108th
Binary
100000001110101101100
Octal
4016554
Hexadecimal
0x101D6C
Base64
EB1s
One's complement
4,293,911,187 (32-bit)
Scientific notation
1.056108 × 10⁶
As a duration
1,056,108 s = 12 days, 5 hours, 21 minutes, 48 seconds
In other bases
ternary (3) 1222122201010
quaternary (4) 10001311230
quinary (5) 232243413
senary (6) 34345220
septenary (7) 11656014
nonary (9) 1878633
undecimal (11) 661519
duodecimal (12) 42b210
tridecimal (13) 2ac921
tetradecimal (14) 1d6c44
pentadecimal (15) 15cdc3

As an angle

1,056,108° = 2,933 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬六千一百零八
Chinese (financial)
壹佰零伍萬陸仟壹佰零捌
In other modern scripts
Eastern Arabic ١٠٥٦١٠٨ Devanagari १०५६१०८ Bengali ১০৫৬১০৮ Tamil ௧௦௫௬௧௦௮ Thai ๑๐๕๖๑๐๘ Tibetan ༡༠༥༦༡༠༨ Khmer ១០៥៦១០៨ Lao ໑໐໕໖໑໐໘ Burmese ၁၀၅၆၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056108, here are decompositions:

  • 19 + 1056089 = 1056108
  • 37 + 1056071 = 1056108
  • 47 + 1056061 = 1056108
  • 59 + 1056049 = 1056108
  • 61 + 1056047 = 1056108
  • 89 + 1056019 = 1056108
  • 101 + 1056007 = 1056108
  • 127 + 1055981 = 1056108

Showing the first eight; more decompositions exist.

Hex color
#101D6C
RGB(16, 29, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.108.

Address
0.16.29.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.29.108

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 6108 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6108-05-01 (DMMYYYY (Euro, single-digit day))
  • 6108-10-05 (MMDYYYY (US, single-digit day))
  • 6108-05-10 (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 1,056,108 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°.