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106,706

106,706 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.).

106,706 (one hundred six thousand seven hundred six) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 53,353. Written other ways, in hexadecimal, 0x1A0D2.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
607,601
Recamán's sequence
a(85,931) = 106,706
Square (n²)
11,386,170,436
Cube (n³)
1,214,972,702,543,816
Divisor count
4
σ(n) — sum of divisors
160,062
φ(n) — Euler's totient
53,352
Sum of prime factors
53,355

Primality

Prime factorization: 2 × 53353

Nearest primes: 106,703 (−3) · 106,721 (+15)

Divisors & multiples

All divisors (4)
1 · 2 · 53353 (half) · 106706
Aliquot sum (sum of proper divisors): 53,356
Factor pairs (a × b = 106,706)
1 × 106706
2 × 53353
First multiples
106,706 · 213,412 (double) · 320,118 · 426,824 · 533,530 · 640,236 · 746,942 · 853,648 · 960,354 · 1,067,060

Sums & aliquot sequence

As a sum of two squares: 191² + 265²
As consecutive integers: 26,675 + 26,676 + 26,677 + 26,678
Aliquot sequence: 106,706 → 53,356 → 40,024 → 35,036 → 29,644 → 22,240 → 30,680 → 44,920 → 56,240 → 85,120 → 159,680 → 221,320 → 323,000 → 519,400 → 911,870 → 755,218 → 420,632 — unresolved within range

Continued fraction of √n

√106,706 = [326; (1, 1, 1, 13, 1, 1, 6, 2, 3, 4, 1, 5, 1, 12, 4, 1, 2, 4, 4, 10, 3, 3, 10, 4, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand seven hundred six
Ordinal
106706th
Binary
11010000011010010
Octal
320322
Hexadecimal
0x1A0D2
Base64
AaDS
One's complement
4,294,860,589 (32-bit)
Scientific notation
1.06706 × 10⁵
As a duration
106,706 s = 1 day, 5 hours, 38 minutes, 26 seconds
In other bases
ternary (3) 12102101002
quaternary (4) 122003102
quinary (5) 11403311
senary (6) 2142002
septenary (7) 623045
nonary (9) 172332
undecimal (11) 73196
duodecimal (12) 51902
tridecimal (13) 39752
tetradecimal (14) 2ac5c
pentadecimal (15) 2193b

As an angle

106,706° = 296 × 360° + 146°
146° ≈ 2.548 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛψϛʹ
Mayan (base 20)
𝋭·𝋦·𝋯·𝋦
Chinese
十萬六千七百零六
Chinese (financial)
壹拾萬陸仟柒佰零陸
In other modern scripts
Eastern Arabic ١٠٦٧٠٦ Devanagari १०६७०६ Bengali ১০৬৭০৬ Tamil ௧௦௬௭௦௬ Thai ๑๐๖๗๐๖ Tibetan ༡༠༦༧༠༦ Khmer ១០៦៧០៦ Lao ໑໐໖໗໐໖ Burmese ၁၀၆၇၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106706, here are decompositions:

  • 3 + 106703 = 106706
  • 7 + 106699 = 106706
  • 13 + 106693 = 106706
  • 37 + 106669 = 106706
  • 43 + 106663 = 106706
  • 79 + 106627 = 106706
  • 163 + 106543 = 106706
  • 349 + 106357 = 106706

Showing the first eight; more decompositions exist.

Hex color
#01A0D2
RGB(1, 160, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.210.

Address
0.1.160.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.210

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 106,706 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 106706 first appears in π at position 493,475 of the decimal expansion (the 493,475ordinal-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.