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1,061,106

1,061,106 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.).

1,061,106 (one million sixty-one thousand one hundred six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 17 × 101 × 103. Its proper divisors sum to 1,230,222, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1030F2.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
6,011,601
Flips to (rotate 180°)
9,011,901
Square (n²)
1,125,945,943,236
Cube (n³)
1,194,747,996,043,379,016
Divisor count
32
σ(n) — sum of divisors
2,291,328
φ(n) — Euler's totient
326,400
Sum of prime factors
226

Primality

Prime factorization: 2 × 3 × 17 × 101 × 103

Nearest primes: 1,061,101 (−5) · 1,061,107 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 17 · 34 · 51 · 101 · 102 · 103 · 202 · 206 · 303 · 309 · 606 · 618 · 1717 · 1751 · 3434 · 3502 · 5151 · 5253 · 10302 · 10403 · 10506 · 20806 · 31209 · 62418 · 176851 · 353702 · 530553 (half) · 1061106
Aliquot sum (sum of proper divisors): 1,230,222
Factor pairs (a × b = 1,061,106)
1 × 1061106
2 × 530553
3 × 353702
6 × 176851
17 × 62418
34 × 31209
51 × 20806
101 × 10506
102 × 10403
103 × 10302
202 × 5253
206 × 5151
303 × 3502
309 × 3434
606 × 1751
618 × 1717
First multiples
1,061,106 · 2,122,212 (double) · 3,183,318 · 4,244,424 · 5,305,530 · 6,366,636 · 7,427,742 · 8,488,848 · 9,549,954 · 10,611,060

Sums & aliquot sequence

As consecutive integers: 353,701 + 353,702 + 353,703 265,275 + 265,276 + 265,277 + 265,278 88,420 + 88,421 + … + 88,431 62,410 + 62,411 + … + 62,426
Aliquot sequence: 1,061,106 → 1,230,222 → 1,748,850 → 2,670,510 → 3,738,786 → 3,980,382 → 5,117,730 → 7,700,574 → 10,499,874 → 15,682,782 → 15,726,498 → 15,765,438 → 18,191,058 → 18,191,070 → 29,573,010 → 47,317,050 → 94,281,030 — unresolved within range

Continued fraction of √n

√1,061,106 = [1030; (10, 2060)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one million sixty-one thousand one hundred six
Ordinal
1061106th
Binary
100000011000011110010
Octal
4030362
Hexadecimal
0x1030F2
Base64
EDDy
One's complement
4,293,906,189 (32-bit)
Scientific notation
1.061106 × 10⁶
As a duration
1,061,106 s = 12 days, 6 hours, 45 minutes, 6 seconds
In other bases
ternary (3) 1222220120020
quaternary (4) 10003003302
quinary (5) 232423411
senary (6) 34424310
septenary (7) 12006414
nonary (9) 1886506
undecimal (11) 665252
duodecimal (12) 432096
tridecimal (13) 2b1c97
tetradecimal (14) 1d89b4
pentadecimal (15) 15e606

As an angle

1,061,106° = 2,947 × 360° + 186°
186° ≈ 3.246 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零六萬一千一百零六
Chinese (financial)
壹佰零陸萬壹仟壹佰零陸
In other modern scripts
Eastern Arabic ١٠٦١١٠٦ Devanagari १०६११०६ Bengali ১০৬১১০৬ Tamil ௧௦௬௧௧௦௬ Thai ๑๐๖๑๑๐๖ Tibetan ༡༠༦༡༡༠༦ Khmer ១០៦១១០៦ Lao ໑໐໖໑໑໐໖ Burmese ၁၀၆၁၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1061106, here are decompositions:

  • 5 + 1061101 = 1061106
  • 19 + 1061087 = 1061106
  • 37 + 1061069 = 1061106
  • 73 + 1061033 = 1061106
  • 113 + 1060993 = 1061106
  • 157 + 1060949 = 1061106
  • 223 + 1060883 = 1061106
  • 239 + 1060867 = 1061106

Showing the first eight; more decompositions exist.

Hex color
#1030F2
RGB(16, 48, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.48.242.

Address
0.16.48.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.48.242

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 6, 1106 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1106-06-01 (DMMYYYY (Euro, single-digit day))
  • 1106-10-06 (MMDYYYY (US, single-digit day))
  • 1106-06-10 (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 1,061,106 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°.