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133,384

133,384 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.).

133,384 (one hundred thirty-three thousand three hundred eighty-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 16,673. Written other ways, in hexadecimal, 0x20908.

Deficient Number Evil Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
864
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
483,331
Recamán's sequence
a(35,428) = 133,384
Square (n²)
17,791,291,456
Cube (n³)
2,373,073,619,567,104
Divisor count
8
σ(n) — sum of divisors
250,110
φ(n) — Euler's totient
66,688
Sum of prime factors
16,679

Primality

Prime factorization: 2 3 × 16673

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

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 16673 · 33346 · 66692 (half) · 133384
Aliquot sum (sum of proper divisors): 116,726
Factor pairs (a × b = 133,384)
1 × 133384
2 × 66692
4 × 33346
8 × 16673
First multiples
133,384 · 266,768 (double) · 400,152 · 533,536 · 666,920 · 800,304 · 933,688 · 1,067,072 · 1,200,456 · 1,333,840

Sums & aliquot sequence

As a sum of two squares: 222² + 290²
As consecutive integers: 8,329 + 8,330 + … + 8,344
Aliquot sequence: 133,384 116,726 58,366 51,074 25,540 28,136 24,634 12,986 7,078 3,542 3,370 2,714 1,606 1,058 601 1 0 — terminates at zero

Continued fraction of √n

√133,384 = [365; (4, 1, 1, 2, 4, 1, 47, 1, 7, 2, 2, 2, 18, 3, 5, 4, 1, 5, 1, 1, 1, 10, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand three hundred eighty-four
Ordinal
133384th
Binary
100000100100001000
Octal
404410
Hexadecimal
0x20908
Base64
AgkI
One's complement
4,294,833,911 (32-bit)
Scientific notation
1.33384 × 10⁵
As a duration
133,384 s = 1 day, 13 hours, 3 minutes, 4 seconds
In other bases
ternary (3) 20202222011
quaternary (4) 200210020
quinary (5) 13232014
senary (6) 2505304
septenary (7) 1063606
nonary (9) 222864
undecimal (11) 91239
duodecimal (12) 65234
tridecimal (13) 48934
tetradecimal (14) 36876
pentadecimal (15) 297c4

As an angle

133,384° = 370 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτπδʹ
Mayan (base 20)
𝋰·𝋭·𝋩·𝋤
Chinese
一十三萬三千三百八十四
Chinese (financial)
壹拾參萬參仟參佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٣٣٨٤ Devanagari १३३३८४ Bengali ১৩৩৩৮৪ Tamil ௧௩௩௩௮௪ Thai ๑๓๓๓๘๔ Tibetan ༡༣༣༣༨༤ Khmer ១៣៣៣៨៤ Lao ໑໓໓໓໘໔ Burmese ၁၃၃၃၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133384, here are decompositions:

  • 5 + 133379 = 133384
  • 47 + 133337 = 133384
  • 101 + 133283 = 133384
  • 107 + 133277 = 133384
  • 113 + 133271 = 133384
  • 131 + 133253 = 133384
  • 197 + 133187 = 133384
  • 227 + 133157 = 133384

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤈
CJK Unified Ideograph-20908
U+20908
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 88 (4 bytes).

Hex color
#020908
RGB(2, 9, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.8.

Address
0.2.9.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.8

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 133,384 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 133384 first appears in π at position 318,109 of the decimal expansion (the 318,109ordinal-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