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133,306

133,306 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.).

133,306 (one hundred thirty-three thousand three hundred six) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 66,653. Written other ways, in hexadecimal, 0x208BA.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
603,331
Recamán's sequence
a(35,272) = 133,306
Square (n²)
17,770,489,636
Cube (n³)
2,368,912,891,416,616
Divisor count
4
σ(n) — sum of divisors
199,962
φ(n) — Euler's totient
66,652
Sum of prime factors
66,655

Primality

Prime factorization: 2 × 66653

Nearest primes: 133,303 (−3) · 133,319 (+13)

Divisors & multiples

All divisors (4)
1 · 2 · 66653 (half) · 133306
Aliquot sum (sum of proper divisors): 66,656
Factor pairs (a × b = 133,306)
1 × 133306
2 × 66653
First multiples
133,306 · 266,612 (double) · 399,918 · 533,224 · 666,530 · 799,836 · 933,142 · 1,066,448 · 1,199,754 · 1,333,060

Sums & aliquot sequence

As a sum of two squares: 9² + 365²
As consecutive integers: 33,325 + 33,326 + 33,327 + 33,328
Aliquot sequence: 133,306 66,656 64,636 69,428 59,344 55,666 34,298 21,862 12,914 8,254 4,130 4,510 4,562 2,284 1,720 2,240 3,856 — unresolved within range

Continued fraction of √n

√133,306 = [365; (9, 72, 1, 10, 4, 28, 1, 27, 8, 2, 1, 3, 1, 10, 2, 4, 3, 2, 1, 1, 4, 5, 2, 3, …)]

Representations

In words
one hundred thirty-three thousand three hundred six
Ordinal
133306th
Binary
100000100010111010
Octal
404272
Hexadecimal
0x208BA
Base64
Agi6
One's complement
4,294,833,989 (32-bit)
Scientific notation
1.33306 × 10⁵
As a duration
133,306 s = 1 day, 13 hours, 1 minute, 46 seconds
In other bases
ternary (3) 20202212021
quaternary (4) 200202322
quinary (5) 13231211
senary (6) 2505054
septenary (7) 1063435
nonary (9) 222767
undecimal (11) 91178
duodecimal (12) 6518a
tridecimal (13) 488a4
tetradecimal (14) 3681c
pentadecimal (15) 29771

As an angle

133,306° = 370 × 360° + 106°
106° ≈ 1.85 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτϛʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋦
Chinese
一十三萬三千三百零六
Chinese (financial)
壹拾參萬參仟參佰零陸
In other modern scripts
Eastern Arabic ١٣٣٣٠٦ Devanagari १३३३०६ Bengali ১৩৩৩০৬ Tamil ௧௩௩௩௦௬ Thai ๑๓๓๓๐๖ Tibetan ༡༣༣༣༠༦ Khmer ១៣៣៣០៦ Lao ໑໓໓໓໐໖ Burmese ၁၃၃၃၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133306, here are decompositions:

  • 3 + 133303 = 133306
  • 23 + 133283 = 133306
  • 29 + 133277 = 133306
  • 53 + 133253 = 133306
  • 137 + 133169 = 133306
  • 149 + 133157 = 133306
  • 197 + 133109 = 133306
  • 233 + 133073 = 133306

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢺
CJK Unified Ideograph-208Ba
U+208BA
Other letter (Lo)

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

Hex color
#0208BA
RGB(2, 8, 186)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.186.

Address
0.2.8.186
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.186

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 133,306 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 133306 first appears in π at position 62,697 of the decimal expansion (the 62,697ordinal-suffix:th 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