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107,116

107,116 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.).

107,116 (one hundred seven thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 61 × 439. Written other ways, in hexadecimal, 0x1A26C.

Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
611,701
Recamán's sequence
a(82,287) = 107,116
Square (n²)
11,473,837,456
Cube (n³)
1,229,031,572,936,896
Divisor count
12
σ(n) — sum of divisors
190,960
φ(n) — Euler's totient
52,560
Sum of prime factors
504

Primality

Prime factorization: 2 2 × 61 × 439

Nearest primes: 107,101 (−15) · 107,119 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 61 · 122 · 244 · 439 · 878 · 1756 · 26779 · 53558 (half) · 107116
Aliquot sum (sum of proper divisors): 83,844
Factor pairs (a × b = 107,116)
1 × 107116
2 × 53558
4 × 26779
61 × 1756
122 × 878
244 × 439
First multiples
107,116 · 214,232 (double) · 321,348 · 428,464 · 535,580 · 642,696 · 749,812 · 856,928 · 964,044 · 1,071,160

Sums & aliquot sequence

As consecutive integers: 13,386 + 13,387 + … + 13,393 1,726 + 1,727 + … + 1,786 25 + 26 + … + 463
Aliquot sequence: 107,116 → 83,844 → 142,200 → 341,400 → 718,800 → 1,587,600 → 5,040,417 → 2,011,551 → 670,521 → 223,511 → 961 → 32 → 31 → 1 → 0 — terminates at zero

Continued fraction of √n

√107,116 = [327; (3, 2, 217, 1, 3, 4, 1, 71, 1, 11, 1, 1, 1, 1, 23, 1, 1, 1, 3, 1, 1, 6, 1, 7, …)]

Representations

In words
one hundred seven thousand one hundred sixteen
Ordinal
107116th
Binary
11010001001101100
Octal
321154
Hexadecimal
0x1A26C
Base64
AaJs
One's complement
4,294,860,179 (32-bit)
Scientific notation
1.07116 × 10⁵
As a duration
107,116 s = 1 day, 5 hours, 45 minutes, 16 seconds
In other bases
ternary (3) 12102221021
quaternary (4) 122021230
quinary (5) 11411431
senary (6) 2143524
septenary (7) 624202
nonary (9) 172837
undecimal (11) 73529
duodecimal (12) 51ba4
tridecimal (13) 399a9
tetradecimal (14) 2b072
pentadecimal (15) 21b11

As an angle

107,116° = 297 × 360° + 196°
196° ≈ 3.421 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζριϛʹ
Mayan (base 20)
𝋭·𝋧·𝋯·𝋰
Chinese
十萬七千一百一十六
Chinese (financial)
壹拾萬柒仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٧١١٦ Devanagari १०७११६ Bengali ১০৭১১৬ Tamil ௧௦௭௧௧௬ Thai ๑๐๗๑๑๖ Tibetan ༡༠༧༡༡༦ Khmer ១០៧១១៦ Lao ໑໐໗໑໑໖ Burmese ၁၀၇၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107116, here are decompositions:

  • 17 + 107099 = 107116
  • 47 + 107069 = 107116
  • 59 + 107057 = 107116
  • 83 + 107033 = 107116
  • 137 + 106979 = 107116
  • 167 + 106949 = 107116
  • 179 + 106937 = 107116
  • 239 + 106877 = 107116

Showing the first eight; more decompositions exist.

Hex color
#01A26C
RGB(1, 162, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.108.

Address
0.1.162.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.108

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

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 107,116 and was likely granted around 1870.

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

Position in π

The digit sequence 107116 first appears in π at position 290,434 of the decimal expansion (the 290,434ordinal-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