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133,326

133,326 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.).

133,326 (one hundred thirty-three thousand three hundred twenty-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2 × 3⁴ × 823. Its proper divisors sum to 165,786, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208CE.

Abundant Number Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
324
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
623,331
Recamán's sequence
a(35,312) = 133,326
Square (n²)
17,775,822,276
Cube (n³)
2,369,979,280,769,976
Divisor count
20
σ(n) — sum of divisors
299,112
φ(n) — Euler's totient
44,388
Sum of prime factors
837

Primality

Prime factorization: 2 × 3 4 × 823

Nearest primes: 133,321 (−5) · 133,327 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 81 · 162 · 823 · 1646 · 2469 · 4938 · 7407 · 14814 · 22221 · 44442 · 66663 (half) · 133326
Aliquot sum (sum of proper divisors): 165,786
Factor pairs (a × b = 133,326)
1 × 133326
2 × 66663
3 × 44442
6 × 22221
9 × 14814
18 × 7407
27 × 4938
54 × 2469
81 × 1646
162 × 823
First multiples
133,326 · 266,652 (double) · 399,978 · 533,304 · 666,630 · 799,956 · 933,282 · 1,066,608 · 1,199,934 · 1,333,260

Sums & aliquot sequence

As consecutive integers: 44,441 + 44,442 + 44,443 33,330 + 33,331 + 33,332 + 33,333 14,810 + 14,811 + … + 14,818 11,105 + 11,106 + … + 11,116
Aliquot sequence: 133,326 165,786 165,798 201,738 201,750 303,690 442,806 648,522 957,654 1,145,538 1,445,310 2,520,450 4,428,510 6,199,986 7,303,182 8,072,178 9,022,062 — unresolved within range

Continued fraction of √n

√133,326 = [365; (7, 4, 2, 1, 2, 1, 5, 8, 1, 5, 3, 2, 1, 3, 1, 4, 4, 80, 1, 9, 2, 4, 31, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred twenty-six
Ordinal
133326th
Binary
100000100011001110
Octal
404316
Hexadecimal
0x208CE
Base64
AgjO
One's complement
4,294,833,969 (32-bit)
Scientific notation
1.33326 × 10⁵
As a duration
133,326 s = 1 day, 13 hours, 2 minutes, 6 seconds
In other bases
ternary (3) 20202220000
quaternary (4) 200203032
quinary (5) 13231301
senary (6) 2505130
septenary (7) 1063464
nonary (9) 222800
undecimal (11) 91196
duodecimal (12) 651a6
tridecimal (13) 488bb
tetradecimal (14) 36834
pentadecimal (15) 29786

As an angle

133,326° = 370 × 360° + 126°
126° ≈ 2.199 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτκϛʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋦
Chinese
一十三萬三千三百二十六
Chinese (financial)
壹拾參萬參仟參佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٣٣٢٦ Devanagari १३३३२६ Bengali ১৩৩৩২৬ Tamil ௧௩௩௩௨௬ Thai ๑๓๓๓๒๖ Tibetan ༡༣༣༣༢༦ Khmer ១៣៣៣២៦ Lao ໑໓໓໓໒໖ Burmese ၁၃၃၃၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133326, here are decompositions:

  • 5 + 133321 = 133326
  • 7 + 133319 = 133326
  • 23 + 133303 = 133326
  • 43 + 133283 = 133326
  • 47 + 133279 = 133326
  • 73 + 133253 = 133326
  • 113 + 133213 = 133326
  • 139 + 133187 = 133326

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣎
CJK Unified Ideograph-208Ce
U+208CE
Other letter (Lo)

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

Hex color
#0208CE
RGB(2, 8, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.206.

Address
0.2.8.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.206

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 133,326 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 133326 first appears in π at position 682,752 of the decimal expansion (the 682,752ordinal-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

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