number.wiki
Live analysis

133,184

133,184 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.).

133,184 (one hundred thirty-three thousand one hundred eighty-four) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 2,081. Written other ways, in hexadecimal, 0x20840.

Deficient Number Happy Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
481,331
Square (n²)
17,737,977,856
Cube (n³)
2,362,414,842,773,504
Divisor count
14
σ(n) — sum of divisors
264,414
φ(n) — Euler's totient
66,560
Sum of prime factors
2,093

Primality

Prime factorization: 2 6 × 2081

Nearest primes: 133,183 (−1) · 133,187 (+3)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 2081 · 4162 · 8324 · 16648 · 33296 · 66592 (half) · 133184
Aliquot sum (sum of proper divisors): 131,230
Factor pairs (a × b = 133,184)
1 × 133184
2 × 66592
4 × 33296
8 × 16648
16 × 8324
32 × 4162
64 × 2081
First multiples
133,184 · 266,368 (double) · 399,552 · 532,736 · 665,920 · 799,104 · 932,288 · 1,065,472 · 1,198,656 · 1,331,840

Sums & aliquot sequence

As a sum of two squares: 160² + 328²
As consecutive integers: 977 + 978 + … + 1,104
Aliquot sequence: 133,184 131,230 126,674 63,340 69,716 56,704 56,516 44,284 33,220 43,388 32,548 25,692 34,284 45,740 50,356 37,774 28,322 — unresolved within range

Continued fraction of √n

√133,184 = [364; (1, 16, 1, 4, 11, 4, 1, 16, 1, 728)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred eighty-four
Ordinal
133184th
Binary
100000100001000000
Octal
404100
Hexadecimal
0x20840
Base64
AghA
One's complement
4,294,834,111 (32-bit)
Scientific notation
1.33184 × 10⁵
As a duration
133,184 s = 1 day, 12 hours, 59 minutes, 44 seconds
In other bases
ternary (3) 20202200202
quaternary (4) 200201000
quinary (5) 13230214
senary (6) 2504332
septenary (7) 1063202
nonary (9) 222622
undecimal (11) 91077
duodecimal (12) 650a8
tridecimal (13) 4880c
tetradecimal (14) 36772
pentadecimal (15) 296de

As an angle

133,184° = 369 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρπδʹ
Mayan (base 20)
𝋰·𝋬·𝋳·𝋤
Chinese
一十三萬三千一百八十四
Chinese (financial)
壹拾參萬參仟壹佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٣١٨٤ Devanagari १३३१८४ Bengali ১৩৩১৮৪ Tamil ௧௩௩௧௮௪ Thai ๑๓๓๑๘๔ Tibetan ༡༣༣༡༨༤ Khmer ១៣៣១៨៤ Lao ໑໓໓໑໘໔ Burmese ၁၃၃၁၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133184, here are decompositions:

  • 31 + 133153 = 133184
  • 67 + 133117 = 133184
  • 97 + 133087 = 133184
  • 151 + 133033 = 133184
  • 223 + 132961 = 133184
  • 367 + 132817 = 133184
  • 421 + 132763 = 133184
  • 433 + 132751 = 133184

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡀
CJK Unified Ideograph-20840
U+20840
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 80 (4 bytes).

Hex color
#020840
RGB(2, 8, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.64.

Address
0.2.8.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.64

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 133,184 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 133184 first appears in π at position 142,185 of the decimal expansion (the 142,185ordinal-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.