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133,334

133,334 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.).

133,334 (one hundred thirty-three thousand three hundred thirty-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 163 × 409. Written other ways, in hexadecimal, 0x208D6.

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
17
Digit product
324
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
433,331
Recamán's sequence
a(35,328) = 133,334
Square (n²)
17,777,955,556
Cube (n³)
2,370,405,926,103,704
Divisor count
8
σ(n) — sum of divisors
201,720
φ(n) — Euler's totient
66,096
Sum of prime factors
574

Primality

Prime factorization: 2 × 163 × 409

Nearest primes: 133,327 (−7) · 133,337 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 163 · 326 · 409 · 818 · 66667 (half) · 133334
Aliquot sum (sum of proper divisors): 68,386
Factor pairs (a × b = 133,334)
1 × 133334
2 × 66667
163 × 818
326 × 409
First multiples
133,334 · 266,668 (double) · 400,002 · 533,336 · 666,670 · 800,004 · 933,338 · 1,066,672 · 1,200,006 · 1,333,340

Sums & aliquot sequence

As consecutive integers: 33,332 + 33,333 + 33,334 + 33,335 737 + 738 + … + 899 122 + 123 + … + 530
Aliquot sequence: 133,334 68,386 37,598 23,962 11,984 14,800 21,718 10,862 5,434 4,646 2,698 1,622 814 554 280 440 640 — unresolved within range

Continued fraction of √n

√133,334 = [365; (6, 1, 2, 3, 6, 1, 13, 1, 2, 1, 8, 6, 4, 4, 4, 6, 8, 1, 2, 1, 13, 1, 6, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred thirty-four
Ordinal
133334th
Binary
100000100011010110
Octal
404326
Hexadecimal
0x208D6
Base64
AgjW
One's complement
4,294,833,961 (32-bit)
Scientific notation
1.33334 × 10⁵
As a duration
133,334 s = 1 day, 13 hours, 2 minutes, 14 seconds
In other bases
ternary (3) 20202220022
quaternary (4) 200203112
quinary (5) 13231314
senary (6) 2505142
septenary (7) 1063505
nonary (9) 222808
undecimal (11) 911a3
duodecimal (12) 651b2
tridecimal (13) 488c6
tetradecimal (14) 3683c
pentadecimal (15) 2978e

As an angle

133,334° = 370 × 360° + 134°
134° ≈ 2.339 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτλδʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋮
Chinese
一十三萬三千三百三十四
Chinese (financial)
壹拾參萬參仟參佰參拾肆
In other modern scripts
Eastern Arabic ١٣٣٣٣٤ Devanagari १३३३३४ Bengali ১৩৩৩৩৪ Tamil ௧௩௩௩௩௪ Thai ๑๓๓๓๓๔ Tibetan ༡༣༣༣༣༤ Khmer ១៣៣៣៣៤ Lao ໑໓໓໓໓໔ Burmese ၁၃၃၃၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133334, here are decompositions:

  • 7 + 133327 = 133334
  • 13 + 133321 = 133334
  • 31 + 133303 = 133334
  • 73 + 133261 = 133334
  • 151 + 133183 = 133334
  • 181 + 133153 = 133334
  • 283 + 133051 = 133334
  • 367 + 132967 = 133334

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣖
CJK Unified Ideograph-208D6
U+208D6
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 96 (4 bytes).

Hex color
#0208D6
RGB(2, 8, 214)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.214.

Address
0.2.8.214
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.214

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 133,334 and was likely granted around 1872.

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

Position in π

The digit sequence 133334 first appears in π at position 172,950 of the decimal expansion (the 172,950ordinal-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.