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133,266

133,266 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.).

133,266 (one hundred thirty-three thousand two hundred sixty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 19 × 167. Its proper divisors sum to 189,294, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20892.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
648
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
662,331
Square (n²)
17,759,826,756
Cube (n³)
2,366,781,072,465,096
Divisor count
32
σ(n) — sum of divisors
322,560
φ(n) — Euler's totient
35,856
Sum of prime factors
198

Primality

Prime factorization: 2 × 3 × 7 × 19 × 167

Nearest primes: 133,261 (−5) · 133,271 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 14 · 19 · 21 · 38 · 42 · 57 · 114 · 133 · 167 · 266 · 334 · 399 · 501 · 798 · 1002 · 1169 · 2338 · 3173 · 3507 · 6346 · 7014 · 9519 · 19038 · 22211 · 44422 · 66633 (half) · 133266
Aliquot sum (sum of proper divisors): 189,294
Factor pairs (a × b = 133,266)
1 × 133266
2 × 66633
3 × 44422
6 × 22211
7 × 19038
14 × 9519
19 × 7014
21 × 6346
38 × 3507
42 × 3173
57 × 2338
114 × 1169
133 × 1002
167 × 798
266 × 501
334 × 399
First multiples
133,266 · 266,532 (double) · 399,798 · 533,064 · 666,330 · 799,596 · 932,862 · 1,066,128 · 1,199,394 · 1,332,660

Sums & aliquot sequence

As consecutive integers: 44,421 + 44,422 + 44,423 33,315 + 33,316 + 33,317 + 33,318 19,035 + 19,036 + … + 19,041 11,100 + 11,101 + … + 11,111
Aliquot sequence: 133,266 189,294 243,474 420,078 436,578 436,590 1,053,162 1,541,430 3,006,234 5,426,982 7,400,898 8,863,038 11,003,562 12,904,218 15,771,942 19,765,818 23,060,160 — unresolved within range

Continued fraction of √n

√133,266 = [365; (17, 1, 4, 6, 4, 1, 17, 730)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred sixty-six
Ordinal
133266th
Binary
100000100010010010
Octal
404222
Hexadecimal
0x20892
Base64
AgiS
One's complement
4,294,834,029 (32-bit)
Scientific notation
1.33266 × 10⁵
As a duration
133,266 s = 1 day, 13 hours, 1 minute, 6 seconds
In other bases
ternary (3) 20202210210
quaternary (4) 200202102
quinary (5) 13231031
senary (6) 2504550
septenary (7) 1063350
nonary (9) 222723
undecimal (11) 91141
duodecimal (12) 65156
tridecimal (13) 48873
tetradecimal (14) 367d0
pentadecimal (15) 29746
Palindromic in base 12

As an angle

133,266° = 370 × 360° + 66°
66° ≈ 1.152 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσξϛʹ
Mayan (base 20)
𝋰·𝋭·𝋣·𝋦
Chinese
一十三萬三千二百六十六
Chinese (financial)
壹拾參萬參仟貳佰陸拾陸
In other modern scripts
Eastern Arabic ١٣٣٢٦٦ Devanagari १३३२६६ Bengali ১৩৩২৬৬ Tamil ௧௩௩௨௬௬ Thai ๑๓๓๒๖๖ Tibetan ༡༣༣༢༦༦ Khmer ១៣៣២៦៦ Lao ໑໓໓໒໖໖ Burmese ၁၃၃၂၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133266, here are decompositions:

  • 5 + 133261 = 133266
  • 13 + 133253 = 133266
  • 53 + 133213 = 133266
  • 79 + 133187 = 133266
  • 83 + 133183 = 133266
  • 97 + 133169 = 133266
  • 109 + 133157 = 133266
  • 113 + 133153 = 133266

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢒
CJK Unified Ideograph-20892
U+20892
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 92 (4 bytes).

Hex color
#020892
RGB(2, 8, 146)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.146.

Address
0.2.8.146
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.146

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 133,266 and was likely granted around 1872.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.