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133,318

133,318 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.).

133,318 (one hundred thirty-three thousand three hundred eighteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 191 × 349. Written other ways, in hexadecimal, 0x208C6.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
216
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
813,331
Recamán's sequence
a(35,296) = 133,318
Square (n²)
17,773,689,124
Cube (n³)
2,369,552,686,633,432
Divisor count
8
σ(n) — sum of divisors
201,600
φ(n) — Euler's totient
66,120
Sum of prime factors
542

Primality

Prime factorization: 2 × 191 × 349

Nearest primes: 133,303 (−15) · 133,319 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 191 · 349 · 382 · 698 · 66659 (half) · 133318
Aliquot sum (sum of proper divisors): 68,282
Factor pairs (a × b = 133,318)
1 × 133318
2 × 66659
191 × 698
349 × 382
First multiples
133,318 · 266,636 (double) · 399,954 · 533,272 · 666,590 · 799,908 · 933,226 · 1,066,544 · 1,199,862 · 1,333,180

Sums & aliquot sequence

As consecutive integers: 33,328 + 33,329 + 33,330 + 33,331 603 + 604 + … + 793 208 + 209 + … + 556
Aliquot sequence: 133,318 68,282 34,144 39,944 34,966 17,486 12,514 6,260 6,928 6,526 4,058 2,032 1,936 2,187 1,093 1 0 — terminates at zero

Continued fraction of √n

√133,318 = [365; (7, 1, 5, 1, 2, 2, 1, 1, 1, 8, 1, 2, 1, 2, 1, 4, 24, 1, 32, 4, 3, 2, 3, 1, …)]

Representations

In words
one hundred thirty-three thousand three hundred eighteen
Ordinal
133318th
Binary
100000100011000110
Octal
404306
Hexadecimal
0x208C6
Base64
AgjG
One's complement
4,294,833,977 (32-bit)
Scientific notation
1.33318 × 10⁵
As a duration
133,318 s = 1 day, 13 hours, 1 minute, 58 seconds
In other bases
ternary (3) 20202212201
quaternary (4) 200203012
quinary (5) 13231233
senary (6) 2505114
septenary (7) 1063453
nonary (9) 222781
undecimal (11) 91189
duodecimal (12) 6519a
tridecimal (13) 488b3
tetradecimal (14) 3682a
pentadecimal (15) 2977d

As an angle

133,318° = 370 × 360° + 118°
118° ≈ 2.059 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτιηʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋲
Chinese
一十三萬三千三百一十八
Chinese (financial)
壹拾參萬參仟參佰壹拾捌
In other modern scripts
Eastern Arabic ١٣٣٣١٨ Devanagari १३३३१८ Bengali ১৩৩৩১৮ Tamil ௧௩௩௩௧௮ Thai ๑๓๓๓๑๘ Tibetan ༡༣༣༣༡༨ Khmer ១៣៣៣១៨ Lao ໑໓໓໓໑໘ Burmese ၁၃၃၃၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133318, here are decompositions:

  • 41 + 133277 = 133318
  • 47 + 133271 = 133318
  • 131 + 133187 = 133318
  • 149 + 133169 = 133318
  • 197 + 133121 = 133318
  • 347 + 132971 = 133318
  • 389 + 132929 = 133318
  • 431 + 132887 = 133318

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣆
CJK Unified Ideograph-208C6
U+208C6
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 86 (4 bytes).

Hex color
#0208C6
RGB(2, 8, 198)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.198.

Address
0.2.8.198
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.198

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 133,318 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 133318 first appears in π at position 569,723 of the decimal expansion (the 569,723ordinal-suffix:rd 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