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106,730

106,730 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.).

106,730 (one hundred six thousand seven hundred thirty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 13 × 821. Written other ways, in hexadecimal, 0x1A0EA.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
37,601
Recamán's sequence
a(81,399) = 106,730
Square (n²)
11,391,292,900
Cube (n³)
1,215,792,691,217,000
Divisor count
16
σ(n) — sum of divisors
207,144
φ(n) — Euler's totient
39,360
Sum of prime factors
841

Primality

Prime factorization: 2 × 5 × 13 × 821

Nearest primes: 106,727 (−3) · 106,739 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 13 · 26 · 65 · 130 · 821 · 1642 · 4105 · 8210 · 10673 · 21346 · 53365 (half) · 106730
Aliquot sum (sum of proper divisors): 100,414
Factor pairs (a × b = 106,730)
1 × 106730
2 × 53365
5 × 21346
10 × 10673
13 × 8210
26 × 4105
65 × 1642
130 × 821
First multiples
106,730 · 213,460 (double) · 320,190 · 426,920 · 533,650 · 640,380 · 747,110 · 853,840 · 960,570 · 1,067,300

Sums & aliquot sequence

As a sum of two squares: 49² + 323² = 79² + 317² = 127² + 301² = 229² + 233²
As consecutive integers: 26,681 + 26,682 + 26,683 + 26,684 21,344 + 21,345 + 21,346 + 21,347 + 21,348 8,204 + 8,205 + … + 8,216 5,327 + 5,328 + … + 5,346
Aliquot sequence: 106,730 → 100,414 → 50,210 → 40,186 → 21,158 → 11,242 → 10,070 → 9,370 → 7,514 → 5,380 → 5,960 → 7,540 → 10,100 → 12,034 → 7,694 → 3,850 → 5,078 — unresolved within range

Continued fraction of √n

√106,730 = [326; (1, 2, 3, 1, 1, 24, 1, 1, 3, 2, 1, 652)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand seven hundred thirty
Ordinal
106730th
Binary
11010000011101010
Octal
320352
Hexadecimal
0x1A0EA
Base64
AaDq
One's complement
4,294,860,565 (32-bit)
Scientific notation
1.0673 × 10⁵
As a duration
106,730 s = 1 day, 5 hours, 38 minutes, 50 seconds
In other bases
ternary (3) 12102101222
quaternary (4) 122003222
quinary (5) 11403410
senary (6) 2142042
septenary (7) 623111
nonary (9) 172358
undecimal (11) 73208
duodecimal (12) 51922
tridecimal (13) 39770
tetradecimal (14) 2ac78
pentadecimal (15) 21955

As an angle

106,730° = 296 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρϛψλʹ
Mayan (base 20)
𝋭·𝋦·𝋰·𝋪
Chinese
十萬六千七百三十
Chinese (financial)
壹拾萬陸仟柒佰參拾
In other modern scripts
Eastern Arabic ١٠٦٧٣٠ Devanagari १०६७३० Bengali ১০৬৭৩০ Tamil ௧௦௬௭௩௦ Thai ๑๐๖๗๓๐ Tibetan ༡༠༦༧༣༠ Khmer ១០៦៧៣០ Lao ໑໐໖໗໓໐ Burmese ၁၀၆၇၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106730, here are decompositions:

  • 3 + 106727 = 106730
  • 31 + 106699 = 106730
  • 37 + 106693 = 106730
  • 61 + 106669 = 106730
  • 67 + 106663 = 106730
  • 73 + 106657 = 106730
  • 103 + 106627 = 106730
  • 109 + 106621 = 106730

Showing the first eight; more decompositions exist.

Hex color
#01A0EA
RGB(1, 160, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.234.

Address
0.1.160.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.234

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 106,730 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

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