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133,382

133,382 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.).

133,382 (one hundred thirty-three thousand three hundred eighty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 17 × 3,923. Written other ways, in hexadecimal, 0x20906.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
432
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
283,331
Recamán's sequence
a(35,424) = 133,382
Square (n²)
17,790,757,924
Cube (n³)
2,372,966,873,418,968
Divisor count
8
σ(n) — sum of divisors
211,896
φ(n) — Euler's totient
62,752
Sum of prime factors
3,942

Primality

Prime factorization: 2 × 17 × 3923

Nearest primes: 133,379 (−3) · 133,387 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 17 · 34 · 3923 · 7846 · 66691 (half) · 133382
Aliquot sum (sum of proper divisors): 78,514
Factor pairs (a × b = 133,382)
1 × 133382
2 × 66691
17 × 7846
34 × 3923
First multiples
133,382 · 266,764 (double) · 400,146 · 533,528 · 666,910 · 800,292 · 933,674 · 1,067,056 · 1,200,438 · 1,333,820

Sums & aliquot sequence

As consecutive integers: 33,344 + 33,345 + 33,346 + 33,347 7,838 + 7,839 + … + 7,854 1,928 + 1,929 + … + 1,995
Aliquot sequence: 133,382 78,514 42,554 21,280 39,200 72,121 10,311 5,433 1,815 1,377 801 369 177 63 41 1 0 — terminates at zero

Continued fraction of √n

√133,382 = [365; (4, 1, 1, 1, 6, 2, 4, 2, 1, 2, 5, 2, 1, 1, 1, 2, 1, 2, 1, 4, 1, 1, 1, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred eighty-two
Ordinal
133382nd
Binary
100000100100000110
Octal
404406
Hexadecimal
0x20906
Base64
AgkG
One's complement
4,294,833,913 (32-bit)
Scientific notation
1.33382 × 10⁵
As a duration
133,382 s = 1 day, 13 hours, 3 minutes, 2 seconds
In other bases
ternary (3) 20202222002
quaternary (4) 200210012
quinary (5) 13232012
senary (6) 2505302
septenary (7) 1063604
nonary (9) 222862
undecimal (11) 91237
duodecimal (12) 65232
tridecimal (13) 48932
tetradecimal (14) 36874
pentadecimal (15) 297c2

As an angle

133,382° = 370 × 360° + 182°
182° ≈ 3.176 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγτπβʹ
Mayan (base 20)
𝋰·𝋭·𝋩·𝋢
Chinese
一十三萬三千三百八十二
Chinese (financial)
壹拾參萬參仟參佰捌拾貳
In other modern scripts
Eastern Arabic ١٣٣٣٨٢ Devanagari १३३३८२ Bengali ১৩৩৩৮২ Tamil ௧௩௩௩௮௨ Thai ๑๓๓๓๘๒ Tibetan ༡༣༣༣༨༢ Khmer ១៣៣៣៨២ Lao ໑໓໓໓໘໒ Burmese ၁၃၃၃၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133382, here are decompositions:

  • 3 + 133379 = 133382
  • 31 + 133351 = 133382
  • 61 + 133321 = 133382
  • 79 + 133303 = 133382
  • 103 + 133279 = 133382
  • 181 + 133201 = 133382
  • 199 + 133183 = 133382
  • 229 + 133153 = 133382

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤆
CJK Unified Ideograph-20906
U+20906
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 86 (4 bytes).

Hex color
#020906
RGB(2, 9, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.6.

Address
0.2.9.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.6

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 133,382 and was likely granted around 1872.

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.