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133,226

133,226 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.).

133,226 (one hundred thirty-three thousand two hundred twenty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 29 × 2,297. Written other ways, in hexadecimal, 0x2086A.

Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
216
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
622,331
Square (n²)
17,749,167,076
Cube (n³)
2,364,650,532,867,176
Divisor count
8
σ(n) — sum of divisors
206,820
φ(n) — Euler's totient
64,288
Sum of prime factors
2,328

Primality

Prime factorization: 2 × 29 × 2297

Nearest primes: 133,213 (−13) · 133,241 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 29 · 58 · 2297 · 4594 · 66613 (half) · 133226
Aliquot sum (sum of proper divisors): 73,594
Factor pairs (a × b = 133,226)
1 × 133226
2 × 66613
29 × 4594
58 × 2297
First multiples
133,226 · 266,452 (double) · 399,678 · 532,904 · 666,130 · 799,356 · 932,582 · 1,065,808 · 1,199,034 · 1,332,260

Sums & aliquot sequence

As a sum of two squares: 1² + 365² = 251² + 265²
As consecutive integers: 33,305 + 33,306 + 33,307 + 33,308 4,580 + 4,581 + … + 4,608 1,091 + 1,092 + … + 1,206
Aliquot sequence: 133,226 73,594 40,454 21,106 11,258 6,970 6,638 3,322 2,150 1,942 974 490 536 484 447 153 81 — unresolved within range

Continued fraction of √n

√133,226 = [365; (730)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred twenty-six
Ordinal
133226th
Binary
100000100001101010
Octal
404152
Hexadecimal
0x2086A
Base64
Aghq
One's complement
4,294,834,069 (32-bit)
Scientific notation
1.33226 × 10⁵
As a duration
133,226 s = 1 day, 13 hours, 26 seconds
In other bases
ternary (3) 20202202022
quaternary (4) 200201222
quinary (5) 13230401
senary (6) 2504442
septenary (7) 1063262
nonary (9) 222668
undecimal (11) 91105
duodecimal (12) 65122
tridecimal (13) 48842
tetradecimal (14) 367a2
pentadecimal (15) 2971b

As an angle

133,226° = 370 × 360° + 26°
26° ≈ 0.454 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσκϛʹ
Mayan (base 20)
𝋰·𝋭·𝋡·𝋦
Chinese
一十三萬三千二百二十六
Chinese (financial)
壹拾參萬參仟貳佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٣٢٢٦ Devanagari १३३२२६ Bengali ১৩৩২২৬ Tamil ௧௩௩௨௨௬ Thai ๑๓๓๒๒๖ Tibetan ༡༣༣༢༢༦ Khmer ១៣៣២២៦ Lao ໑໓໓໒໒໖ Burmese ၁၃၃၂၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133226, here are decompositions:

  • 13 + 133213 = 133226
  • 43 + 133183 = 133226
  • 73 + 133153 = 133226
  • 109 + 133117 = 133226
  • 139 + 133087 = 133226
  • 157 + 133069 = 133226
  • 193 + 133033 = 133226
  • 277 + 132949 = 133226

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡪
CJK Unified Ideograph-2086A
U+2086A
Other letter (Lo)

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

Hex color
#02086A
RGB(2, 8, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.106.

Address
0.2.8.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.106

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 133,226 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 133226 first appears in π at position 31,303 of the decimal expansion (the 31,303ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.