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133,342

133,342 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.).

133,342 (one hundred thirty-three thousand three hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 11² × 19 × 29. Written other ways, in hexadecimal, 0x208DE.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
216
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
243,331
Recamán's sequence
a(35,344) = 133,342
Square (n²)
17,780,088,964
Cube (n³)
2,370,832,622,637,688
Divisor count
24
σ(n) — sum of divisors
239,400
φ(n) — Euler's totient
55,440
Sum of prime factors
72

Primality

Prime factorization: 2 × 11 2 × 19 × 29

Nearest primes: 133,337 (−5) · 133,349 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 11 · 19 · 22 · 29 · 38 · 58 · 121 · 209 · 242 · 319 · 418 · 551 · 638 · 1102 · 2299 · 3509 · 4598 · 6061 · 7018 · 12122 · 66671 (half) · 133342
Aliquot sum (sum of proper divisors): 106,058
Factor pairs (a × b = 133,342)
1 × 133342
2 × 66671
11 × 12122
19 × 7018
22 × 6061
29 × 4598
38 × 3509
58 × 2299
121 × 1102
209 × 638
242 × 551
319 × 418
First multiples
133,342 · 266,684 (double) · 400,026 · 533,368 · 666,710 · 800,052 · 933,394 · 1,066,736 · 1,200,078 · 1,333,420

Sums & aliquot sequence

As consecutive integers: 33,334 + 33,335 + 33,336 + 33,337 12,117 + 12,118 + … + 12,127 7,009 + 7,010 + … + 7,027 4,584 + 4,585 + … + 4,612
Aliquot sequence: 133,342 106,058 61,462 32,138 16,072 19,838 17,122 12,254 7,834 3,920 6,682 4,154 2,374 1,190 1,402 704 820 — unresolved within range

Continued fraction of √n

√133,342 = [365; (6, 4, 6, 2, 5, 1, 3, 1, 1, 8, 2, 5, 1, 1, 3, 2, 4, 2, 1, 1, 24, 1, 1, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred forty-two
Ordinal
133342nd
Binary
100000100011011110
Octal
404336
Hexadecimal
0x208DE
Base64
Agje
One's complement
4,294,833,953 (32-bit)
Scientific notation
1.33342 × 10⁵
As a duration
133,342 s = 1 day, 13 hours, 2 minutes, 22 seconds
In other bases
ternary (3) 20202220121
quaternary (4) 200203132
quinary (5) 13231332
senary (6) 2505154
septenary (7) 1063516
nonary (9) 222817
undecimal (11) 91200
duodecimal (12) 651ba
tridecimal (13) 48901
tetradecimal (14) 36846
pentadecimal (15) 29797

As an angle

133,342° = 370 × 360° + 142°
142° ≈ 2.478 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγτμβʹ
Mayan (base 20)
𝋰·𝋭·𝋧·𝋢
Chinese
一十三萬三千三百四十二
Chinese (financial)
壹拾參萬參仟參佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٣٣٤٢ Devanagari १३३३४२ Bengali ১৩৩৩৪২ Tamil ௧௩௩௩௪௨ Thai ๑๓๓๓๔๒ Tibetan ༡༣༣༣༤༢ Khmer ១៣៣៣៤២ Lao ໑໓໓໓໔໒ Burmese ၁၃၃၃၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133342, here are decompositions:

  • 5 + 133337 = 133342
  • 23 + 133319 = 133342
  • 59 + 133283 = 133342
  • 71 + 133271 = 133342
  • 89 + 133253 = 133342
  • 101 + 133241 = 133342
  • 173 + 133169 = 133342
  • 233 + 133109 = 133342

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣞
CJK Unified Ideograph-208De
U+208DE
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 9E (4 bytes).

Hex color
#0208DE
RGB(2, 8, 222)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.222.

Address
0.2.8.222
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.222

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 133,342 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 133342 first appears in π at position 176,152 of the decimal expansion (the 176,152ordinal-suffix:nd 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