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106,672

106,672 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.).

106,672 (one hundred six thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 59 × 113. Written other ways, in hexadecimal, 0x1A0B0.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
276,601
Recamán's sequence
a(85,999) = 106,672
Square (n²)
11,378,915,584
Cube (n³)
1,213,811,683,176,448
Divisor count
20
σ(n) — sum of divisors
212,040
φ(n) — Euler's totient
51,968
Sum of prime factors
180

Primality

Prime factorization: 2 4 × 59 × 113

Nearest primes: 106,669 (−3) · 106,681 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 59 · 113 · 118 · 226 · 236 · 452 · 472 · 904 · 944 · 1808 · 6667 · 13334 · 26668 · 53336 (half) · 106672
Aliquot sum (sum of proper divisors): 105,368
Factor pairs (a × b = 106,672)
1 × 106672
2 × 53336
4 × 26668
8 × 13334
16 × 6667
59 × 1808
113 × 944
118 × 904
226 × 472
236 × 452
First multiples
106,672 · 213,344 (double) · 320,016 · 426,688 · 533,360 · 640,032 · 746,704 · 853,376 · 960,048 · 1,066,720

Sums & aliquot sequence

As consecutive integers: 3,318 + 3,319 + … + 3,349 1,779 + 1,780 + … + 1,837 888 + 889 + … + 1,000
Aliquot sequence: 106,672 → 105,368 → 92,212 → 69,166 → 34,586 → 17,296 → 18,416 → 17,296 — enters a cycle

Continued fraction of √n

√106,672 = [326; (1, 1, 1, 1, 5, 3, 1, 1, 20, 1, 1, 72, 14, 1, 4, 1, 19, 1, 1, 2, 1, 1, 3, 7, …)]

Representations

In words
one hundred six thousand six hundred seventy-two
Ordinal
106672nd
Binary
11010000010110000
Octal
320260
Hexadecimal
0x1A0B0
Base64
AaCw
One's complement
4,294,860,623 (32-bit)
Scientific notation
1.06672 × 10⁵
As a duration
106,672 s = 1 day, 5 hours, 37 minutes, 52 seconds
In other bases
ternary (3) 12102022211
quaternary (4) 122002300
quinary (5) 11403142
senary (6) 2141504
septenary (7) 622666
nonary (9) 172284
undecimal (11) 73165
duodecimal (12) 51894
tridecimal (13) 39727
tetradecimal (14) 2ac36
pentadecimal (15) 21917

As an angle

106,672° = 296 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρϛχοβʹ
Mayan (base 20)
𝋭·𝋦·𝋭·𝋬
Chinese
十萬六千六百七十二
Chinese (financial)
壹拾萬陸仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٦٦٧٢ Devanagari १०६६७२ Bengali ১০৬৬৭২ Tamil ௧௦௬௬௭௨ Thai ๑๐๖๖๗๒ Tibetan ༡༠༦༦༧༢ Khmer ១០៦៦៧២ Lao ໑໐໖໖໗໒ Burmese ၁၀၆၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106672, here are decompositions:

  • 3 + 106669 = 106672
  • 11 + 106661 = 106672
  • 23 + 106649 = 106672
  • 53 + 106619 = 106672
  • 131 + 106541 = 106672
  • 239 + 106433 = 106672
  • 281 + 106391 = 106672
  • 353 + 106319 = 106672

Showing the first eight; more decompositions exist.

Hex color
#01A0B0
RGB(1, 160, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.176.

Address
0.1.160.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.176

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 106,672 and was likely granted around 1870.

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

Related reading