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110,006

110,006 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.).

110,006 (one hundred ten thousand six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 13 × 4,231. Written other ways, in hexadecimal, 0x1ADB6.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
600,011
Flips to (rotate 180°)
900,011
Recamán's sequence
a(249,284) = 110,006
Square (n²)
12,101,320,036
Cube (n³)
1,331,217,811,880,216
Divisor count
8
σ(n) — sum of divisors
177,744
φ(n) — Euler's totient
50,760
Sum of prime factors
4,246

Primality

Prime factorization: 2 × 13 × 4231

Nearest primes: 109,987 (−19) · 110,017 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 13 · 26 · 4231 · 8462 · 55003 (half) · 110006
Aliquot sum (sum of proper divisors): 67,738
Factor pairs (a × b = 110,006)
1 × 110006
2 × 55003
13 × 8462
26 × 4231
First multiples
110,006 · 220,012 (double) · 330,018 · 440,024 · 550,030 · 660,036 · 770,042 · 880,048 · 990,054 · 1,100,060

Sums & aliquot sequence

As consecutive integers: 27,500 + 27,501 + 27,502 + 27,503 8,456 + 8,457 + … + 8,468 2,090 + 2,091 + … + 2,141
Aliquot sequence: 110,006 67,738 43,142 30,730 32,630 30,874 16,646 13,594 9,734 5,434 4,646 2,698 1,622 814 554 280 440 — unresolved within range

Continued fraction of √n

√110,006 = [331; (1, 2, 22, 1, 1, 5, 1, 2, 4, 1, 3, 47, 8, 2, 1, 1, 1, 25, 1, 9, 1, 2, 1, 3, …)]

Representations

In words
one hundred ten thousand six
Ordinal
110006th
Binary
11010110110110110
Octal
326666
Hexadecimal
0x1ADB6
Base64
Aa22
One's complement
4,294,857,289 (32-bit)
Scientific notation
1.10006 × 10⁵
As a duration
110,006 s = 1 day, 6 hours, 33 minutes, 26 seconds
In other bases
ternary (3) 12120220022
quaternary (4) 122312312
quinary (5) 12010011
senary (6) 2205142
septenary (7) 635501
nonary (9) 176808
undecimal (11) 75716
duodecimal (12) 537b2
tridecimal (13) 3b0c0
tetradecimal (14) 2c138
pentadecimal (15) 228db

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϛʹ
Mayan (base 20)
𝋭·𝋯·𝋠·𝋦
Chinese
一十一萬零六
Chinese (financial)
壹拾壹萬零陸
In other modern scripts
Eastern Arabic ١١٠٠٠٦ Devanagari ११०००६ Bengali ১১০০০৬ Tamil ௧௧௦௦௦௬ Thai ๑๑๐๐๐๖ Tibetan ༡༡༠༠༠༦ Khmer ១១០០០៦ Lao ໑໑໐໐໐໖ Burmese ၁၁၀၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110006, here are decompositions:

  • 19 + 109987 = 110006
  • 103 + 109903 = 110006
  • 109 + 109897 = 110006
  • 157 + 109849 = 110006
  • 163 + 109843 = 110006
  • 199 + 109807 = 110006
  • 367 + 109639 = 110006
  • 397 + 109609 = 110006

Showing the first eight; more decompositions exist.

Hex color
#01ADB6
RGB(1, 173, 182)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.182.

Address
0.1.173.182
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.173.182

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 110,006 and was likely granted around 1871.

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

Position in π

The digit sequence 110006 first appears in π at position 422,354 of the decimal expansion (the 422,354ordinal-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

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