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133,666

133,666 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.).

133,666 (one hundred thirty-three thousand six hundred sixty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 53 × 97. Written other ways, in hexadecimal, 0x20A22.

Cube-Free Deficient Number Odious Number Pernicious Number Self Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,944
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
666,331
Square (n²)
17,866,599,556
Cube (n³)
2,388,156,896,252,296
Divisor count
16
σ(n) — sum of divisors
222,264
φ(n) — Euler's totient
59,904
Sum of prime factors
165

Primality

Prime factorization: 2 × 13 × 53 × 97

Nearest primes: 133,657 (−9) · 133,669 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 26 · 53 · 97 · 106 · 194 · 689 · 1261 · 1378 · 2522 · 5141 · 10282 · 66833 (half) · 133666
Aliquot sum (sum of proper divisors): 88,598
Factor pairs (a × b = 133,666)
1 × 133666
2 × 66833
13 × 10282
26 × 5141
53 × 2522
97 × 1378
106 × 1261
194 × 689
First multiples
133,666 · 267,332 (double) · 400,998 · 534,664 · 668,330 · 801,996 · 935,662 · 1,069,328 · 1,202,994 · 1,336,660

Sums & aliquot sequence

As a sum of two squares: 21² + 365² = 121² + 345² = 175² + 321² = 229² + 285²
As consecutive integers: 33,415 + 33,416 + 33,417 + 33,418 10,276 + 10,277 + … + 10,288 2,545 + 2,546 + … + 2,596 2,496 + 2,497 + … + 2,548
Aliquot sequence: 133,666 88,598 48,682 25,370 22,150 19,142 11,314 5,660 6,268 4,708 4,364 3,280 4,532 4,204 3,160 4,040 5,140 — unresolved within range

Continued fraction of √n

√133,666 = [365; (1, 1, 1, 1, 10, 2, 11, 3, 6, 6, 1, 4, 6, 1, 3, 7, 2, 3, 1, 1, 8, 2, 6, 2, …)]

Representations

In words
one hundred thirty-three thousand six hundred sixty-six
Ordinal
133666th
Binary
100000101000100010
Octal
405042
Hexadecimal
0x20A22
Base64
Agoi
One's complement
4,294,833,629 (32-bit)
Scientific notation
1.33666 × 10⁵
As a duration
133,666 s = 1 day, 13 hours, 7 minutes, 46 seconds
In other bases
ternary (3) 20210100121
quaternary (4) 200220202
quinary (5) 13234131
senary (6) 2510454
septenary (7) 1064461
nonary (9) 223317
undecimal (11) 91475
duodecimal (12) 6542a
tridecimal (13) 48ac0
tetradecimal (14) 369d8
pentadecimal (15) 29911

As an angle

133,666° = 371 × 360° + 106°
106° ≈ 1.85 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχξϛʹ
Mayan (base 20)
𝋰·𝋮·𝋣·𝋦
Chinese
一十三萬三千六百六十六
Chinese (financial)
壹拾參萬參仟陸佰陸拾陸
In other modern scripts
Eastern Arabic ١٣٣٦٦٦ Devanagari १३३६६६ Bengali ১৩৩৬৬৬ Tamil ௧௩௩௬௬௬ Thai ๑๓๓๖๖๖ Tibetan ༡༣༣༦༦༦ Khmer ១៣៣៦៦៦ Lao ໑໓໓໖໖໖ Burmese ၁၃၃၆၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133666, here are decompositions:

  • 17 + 133649 = 133666
  • 83 + 133583 = 133666
  • 107 + 133559 = 133666
  • 167 + 133499 = 133666
  • 173 + 133493 = 133666
  • 227 + 133439 = 133666
  • 263 + 133403 = 133666
  • 317 + 133349 = 133666

Showing the first eight; more decompositions exist.

Unicode codepoint
𠨢
CJK Unified Ideograph-20A22
U+20A22
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 A2 (4 bytes).

Hex color
#020A22
RGB(2, 10, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.34.

Address
0.2.10.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.34

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 133,666 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