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107,066

107,066 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.).

107,066 (one hundred seven thousand sixty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 17 × 47 × 67. Written other ways, in hexadecimal, 0x1A23A.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
660,701
Recamán's sequence
a(45,611) = 107,066
Square (n²)
11,463,128,356
Cube (n³)
1,227,311,300,563,496
Divisor count
16
σ(n) — sum of divisors
176,256
φ(n) — Euler's totient
48,576
Sum of prime factors
133

Primality

Prime factorization: 2 × 17 × 47 × 67

Nearest primes: 107,057 (−9) · 107,069 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 17 · 34 · 47 · 67 · 94 · 134 · 799 · 1139 · 1598 · 2278 · 3149 · 6298 · 53533 (half) · 107066
Aliquot sum (sum of proper divisors): 69,190
Factor pairs (a × b = 107,066)
1 × 107066
2 × 53533
17 × 6298
34 × 3149
47 × 2278
67 × 1598
94 × 1139
134 × 799
First multiples
107,066 · 214,132 (double) · 321,198 · 428,264 · 535,330 · 642,396 · 749,462 · 856,528 · 963,594 · 1,070,660

Sums & aliquot sequence

As consecutive integers: 26,765 + 26,766 + 26,767 + 26,768 6,290 + 6,291 + … + 6,306 2,255 + 2,256 + … + 2,301 1,565 + 1,566 + … + 1,631
Aliquot sequence: 107,066 → 69,190 → 78,554 → 61,222 → 43,754 → 22,774 → 12,146 → 6,076 → 6,692 → 6,748 → 6,804 → 13,580 → 19,348 → 19,404 → 42,840 → 125,640 → 283,860 — unresolved within range

Continued fraction of √n

√107,066 = [327; (4, 1, 3, 2, 4, 2, 3, 1, 4, 654)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand sixty-six
Ordinal
107066th
Binary
11010001000111010
Octal
321072
Hexadecimal
0x1A23A
Base64
AaI6
One's complement
4,294,860,229 (32-bit)
Scientific notation
1.07066 × 10⁵
As a duration
107,066 s = 1 day, 5 hours, 44 minutes, 26 seconds
In other bases
ternary (3) 12102212102
quaternary (4) 122020322
quinary (5) 11411231
senary (6) 2143402
septenary (7) 624101
nonary (9) 172772
undecimal (11) 73493
duodecimal (12) 51b62
tridecimal (13) 3996b
tetradecimal (14) 2b038
pentadecimal (15) 21acb

As an angle

107,066° = 297 × 360° + 146°
146° ≈ 2.548 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζξϛʹ
Mayan (base 20)
𝋭·𝋧·𝋭·𝋦
Chinese
十萬七千零六十六
Chinese (financial)
壹拾萬柒仟零陸拾陸
In other modern scripts
Eastern Arabic ١٠٧٠٦٦ Devanagari १०७०६६ Bengali ১০৭০৬৬ Tamil ௧௦௭௦௬௬ Thai ๑๐๗๐๖๖ Tibetan ༡༠༧༠༦༦ Khmer ១០៧០៦៦ Lao ໑໐໗໐໖໖ Burmese ၁၀၇၀၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107066, here are decompositions:

  • 13 + 107053 = 107066
  • 73 + 106993 = 107066
  • 103 + 106963 = 107066
  • 109 + 106957 = 107066
  • 163 + 106903 = 107066
  • 199 + 106867 = 107066
  • 283 + 106783 = 107066
  • 307 + 106759 = 107066

Showing the first eight; more decompositions exist.

Hex color
#01A23A
RGB(1, 162, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.58.

Address
0.1.162.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.58

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 107,066 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 107066 first appears in π at position 714,662 of the decimal expansion (the 714,662ordinal-suffix:nd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.