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133,106

133,106 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.).

133,106 (one hundred thirty-three thousand one hundred six) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 66,553. Written other ways, in hexadecimal, 0x207F2.

Cube-Free Deficient Number Odious Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
601,331
Square (n²)
17,717,207,236
Cube (n³)
2,358,266,586,355,016
Divisor count
4
σ(n) — sum of divisors
199,662
φ(n) — Euler's totient
66,552
Sum of prime factors
66,555

Primality

Prime factorization: 2 × 66553

Nearest primes: 133,103 (−3) · 133,109 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 66553 (half) · 133106
Aliquot sum (sum of proper divisors): 66,556
Factor pairs (a × b = 133,106)
1 × 133106
2 × 66553
First multiples
133,106 · 266,212 (double) · 399,318 · 532,424 · 665,530 · 798,636 · 931,742 · 1,064,848 · 1,197,954 · 1,331,060

Sums & aliquot sequence

As a sum of two squares: 65² + 359²
As consecutive integers: 33,275 + 33,276 + 33,277 + 33,278
Aliquot sequence: 133,106 66,556 66,612 127,820 210,868 236,684 247,156 300,272 378,256 371,696 404,296 363,044 351,964 263,980 301,508 226,138 164,102 — unresolved within range

Continued fraction of √n

√133,106 = [364; (1, 5, 7, 1, 1, 17, 3, 1, 3, 1, 1, 1, 1, 1, 1, 13, 1, 41, 1, 103, 3, 1, 4, 3, …)]

Representations

In words
one hundred thirty-three thousand one hundred six
Ordinal
133106th
Binary
100000011111110010
Octal
403762
Hexadecimal
0x207F2
Base64
Agfy
One's complement
4,294,834,189 (32-bit)
Scientific notation
1.33106 × 10⁵
As a duration
133,106 s = 1 day, 12 hours, 58 minutes, 26 seconds
In other bases
ternary (3) 20202120212
quaternary (4) 200133302
quinary (5) 13224411
senary (6) 2504122
septenary (7) 1063031
nonary (9) 222525
undecimal (11) 91006
duodecimal (12) 65042
tridecimal (13) 4877c
tetradecimal (14) 36718
pentadecimal (15) 2968b

As an angle

133,106° = 369 × 360° + 266°
266° ≈ 4.643 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρϛʹ
Mayan (base 20)
𝋰·𝋬·𝋯·𝋦
Chinese
一十三萬三千一百零六
Chinese (financial)
壹拾參萬參仟壹佰零陸
In other modern scripts
Eastern Arabic ١٣٣١٠٦ Devanagari १३३१०६ Bengali ১৩৩১০৬ Tamil ௧௩௩௧௦௬ Thai ๑๓๓๑๐๖ Tibetan ༡༣༣༡༠༦ Khmer ១៣៣១០៦ Lao ໑໓໓໑໐໖ Burmese ၁၃၃၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133106, here are decompositions:

  • 3 + 133103 = 133106
  • 19 + 133087 = 133106
  • 37 + 133069 = 133106
  • 67 + 133039 = 133106
  • 73 + 133033 = 133106
  • 139 + 132967 = 133106
  • 157 + 132949 = 133106
  • 349 + 132757 = 133106

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟲
CJK Unified Ideograph-207F2
U+207F2
Other letter (Lo)

UTF-8 encoding: F0 A0 9F B2 (4 bytes).

Hex color
#0207F2
RGB(2, 7, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.242.

Address
0.2.7.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.242

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 133,106 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 133106 first appears in π at position 798,465 of the decimal expansion (the 798,465ordinal-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.