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106,006

106,006 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.).

106,006 (one hundred six thousand six) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 53,003. Written other ways, in hexadecimal, 0x19E16.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Recamán's Sequence Semiprime Smith Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
600,601
Flips to (rotate 180°)
900,901
Recamán's sequence
a(89,159) = 106,006
Square (n²)
11,237,272,036
Cube (n³)
1,191,218,259,448,216
Divisor count
4
σ(n) — sum of divisors
159,012
φ(n) — Euler's totient
53,002
Sum of prime factors
53,005

Primality

Prime factorization: 2 × 53003

Nearest primes: 105,997 (−9) · 106,013 (+7)

Divisors & multiples

All divisors (4)
1 · 2 · 53003 (half) · 106006
Aliquot sum (sum of proper divisors): 53,006
Factor pairs (a × b = 106,006)
1 × 106006
2 × 53003
First multiples
106,006 · 212,012 (double) · 318,018 · 424,024 · 530,030 · 636,036 · 742,042 · 848,048 · 954,054 · 1,060,060

Sums & aliquot sequence

As consecutive integers: 26,500 + 26,501 + 26,502 + 26,503
Aliquot sequence: 106,006 → 53,006 → 31,234 → 25,214 → 18,034 → 9,614 → 7,666 → 3,836 → 3,892 → 3,948 → 6,804 → 13,580 → 19,348 → 19,404 → 42,840 → 125,640 → 283,860 — unresolved within range

Continued fraction of √n

√106,006 = [325; (1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 6, 3, 2, 2, 4, 1, 7, 1, 1, …)]

Representations

In words
one hundred six thousand six
Ordinal
106006th
Binary
11001111000010110
Octal
317026
Hexadecimal
0x19E16
Base64
AZ4W
One's complement
4,294,861,289 (32-bit)
Scientific notation
1.06006 × 10⁵
As a duration
106,006 s = 1 day, 5 hours, 26 minutes, 46 seconds
In other bases
ternary (3) 12101102011
quaternary (4) 121320112
quinary (5) 11343011
senary (6) 2134434
septenary (7) 621025
nonary (9) 171364
undecimal (11) 7270a
duodecimal (12) 5141a
tridecimal (13) 39334
tetradecimal (14) 2a8bc
pentadecimal (15) 21621

As an angle

106,006° = 294 × 360° + 166°
166° ≈ 2.897 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛϛʹ
Mayan (base 20)
𝋭·𝋥·𝋠·𝋦
Chinese
十萬六千零六
Chinese (financial)
壹拾萬陸仟零陸
In other modern scripts
Eastern Arabic ١٠٦٠٠٦ Devanagari १०६००६ Bengali ১০৬০০৬ Tamil ௧௦௬௦௦௬ Thai ๑๐๖๐๐๖ Tibetan ༡༠༦༠༠༦ Khmer ១០៦០០៦ Lao ໑໐໖໐໐໖ Burmese ၁၀၆၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106006, here are decompositions:

  • 23 + 105983 = 106006
  • 29 + 105977 = 106006
  • 53 + 105953 = 106006
  • 107 + 105899 = 106006
  • 239 + 105767 = 106006
  • 353 + 105653 = 106006
  • 443 + 105563 = 106006
  • 449 + 105557 = 106006

Showing the first eight; more decompositions exist.

Hex color
#019E16
RGB(1, 158, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.22.

Address
0.1.158.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.158.22

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 106,006 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 106006 first appears in π at position 24,893 of the decimal expansion (the 24,893ordinal-suffix:rd 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