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133,166

133,166 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.).

133,166 (one hundred thirty-three thousand one hundred sixty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 11 × 6,053. Written other ways, in hexadecimal, 0x2082E.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
324
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
661,331
Square (n²)
17,733,183,556
Cube (n³)
2,361,457,121,418,296
Divisor count
8
σ(n) — sum of divisors
217,944
φ(n) — Euler's totient
60,520
Sum of prime factors
6,066

Primality

Prime factorization: 2 × 11 × 6053

Nearest primes: 133,157 (−9) · 133,169 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 11 · 22 · 6053 · 12106 · 66583 (half) · 133166
Aliquot sum (sum of proper divisors): 84,778
Factor pairs (a × b = 133,166)
1 × 133166
2 × 66583
11 × 12106
22 × 6053
First multiples
133,166 · 266,332 (double) · 399,498 · 532,664 · 665,830 · 798,996 · 932,162 · 1,065,328 · 1,198,494 · 1,331,660

Sums & aliquot sequence

As consecutive integers: 33,290 + 33,291 + 33,292 + 33,293 12,101 + 12,102 + … + 12,111 3,005 + 3,006 + … + 3,048
Aliquot sequence: 133,166 84,778 56,342 43,450 45,830 36,682 18,344 16,066 8,954 6,208 6,238 3,122 2,254 1,850 1,684 1,270 1,034 — unresolved within range

Continued fraction of √n

√133,166 = [364; (1, 11, 2, 1, 2, 4, 9, 1, 1, 1, 2, 1, 2, 1, 5, 66, 5, 1, 2, 1, 2, 1, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred sixty-six
Ordinal
133166th
Binary
100000100000101110
Octal
404056
Hexadecimal
0x2082E
Base64
Aggu
One's complement
4,294,834,129 (32-bit)
Scientific notation
1.33166 × 10⁵
As a duration
133,166 s = 1 day, 12 hours, 59 minutes, 26 seconds
In other bases
ternary (3) 20202200002
quaternary (4) 200200232
quinary (5) 13230131
senary (6) 2504302
septenary (7) 1063145
nonary (9) 222602
undecimal (11) 91060
duodecimal (12) 65092
tridecimal (13) 487c7
tetradecimal (14) 3675c
pentadecimal (15) 296cb

As an angle

133,166° = 369 × 360° + 326°
326° ≈ 5.69 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρξϛʹ
Mayan (base 20)
𝋰·𝋬·𝋲·𝋦
Chinese
一十三萬三千一百六十六
Chinese (financial)
壹拾參萬參仟壹佰陸拾陸
In other modern scripts
Eastern Arabic ١٣٣١٦٦ Devanagari १३३१६६ Bengali ১৩৩১৬৬ Tamil ௧௩௩௧௬௬ Thai ๑๓๓๑๖๖ Tibetan ༡༣༣༡༦༦ Khmer ១៣៣១៦៦ Lao ໑໓໓໑໖໖ Burmese ၁၃၃၁၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133166, here are decompositions:

  • 13 + 133153 = 133166
  • 79 + 133087 = 133166
  • 97 + 133069 = 133166
  • 127 + 133039 = 133166
  • 199 + 132967 = 133166
  • 307 + 132859 = 133166
  • 349 + 132817 = 133166
  • 409 + 132757 = 133166

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠮
CJK Unified Ideograph-2082E
U+2082E
Other letter (Lo)

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

Hex color
#02082E
RGB(2, 8, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.46.

Address
0.2.8.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.46

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 133,166 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 133166 first appears in π at position 22,064 of the decimal expansion (the 22,064ordinal-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

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