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131,666

131,666 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.).

131,666 (one hundred thirty-one thousand six hundred sixty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 43 × 1,531. Written other ways, in hexadecimal, 0x20252.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
648
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
666,131
Recamán's sequence
a(229,040) = 131,666
Square (n²)
17,335,935,556
Cube (n³)
2,282,553,290,916,296
Divisor count
8
σ(n) — sum of divisors
202,224
φ(n) — Euler's totient
64,260
Sum of prime factors
1,576

Primality

Prime factorization: 2 × 43 × 1531

Nearest primes: 131,641 (−25) · 131,671 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 43 · 86 · 1531 · 3062 · 65833 (half) · 131666
Aliquot sum (sum of proper divisors): 70,558
Factor pairs (a × b = 131,666)
1 × 131666
2 × 65833
43 × 3062
86 × 1531
First multiples
131,666 · 263,332 (double) · 394,998 · 526,664 · 658,330 · 789,996 · 921,662 · 1,053,328 · 1,184,994 · 1,316,660

Sums & aliquot sequence

As consecutive integers: 32,915 + 32,916 + 32,917 + 32,918 3,041 + 3,042 + … + 3,083 680 + 681 + … + 851
Aliquot sequence: 131,666 70,558 35,282 25,198 13,610 10,906 9,254 6,634 3,734 1,870 2,018 1,012 1,004 760 1,040 1,564 1,460 — unresolved within range

Continued fraction of √n

√131,666 = [362; (1, 6, 21, 4, 1, 22, 1, 1, 1, 1, 4, 4, 1, 8, 2, 1, 1, 1, 4, 1, 2, 28, 1, 2, …)]

Representations

In words
one hundred thirty-one thousand six hundred sixty-six
Ordinal
131666th
Binary
100000001001010010
Octal
401122
Hexadecimal
0x20252
Base64
AgJS
One's complement
4,294,835,629 (32-bit)
Scientific notation
1.31666 × 10⁵
As a duration
131,666 s = 1 day, 12 hours, 34 minutes, 26 seconds
In other bases
ternary (3) 20200121112
quaternary (4) 200021102
quinary (5) 13203131
senary (6) 2453322
septenary (7) 1055603
nonary (9) 220545
undecimal (11) 8aa17
duodecimal (12) 64242
tridecimal (13) 47c12
tetradecimal (14) 35daa
pentadecimal (15) 2902b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαχξϛʹ
Mayan (base 20)
𝋰·𝋩·𝋣·𝋦
Chinese
一十三萬一千六百六十六
Chinese (financial)
壹拾參萬壹仟陸佰陸拾陸
In other modern scripts
Eastern Arabic ١٣١٦٦٦ Devanagari १३१६६६ Bengali ১৩১৬৬৬ Tamil ௧௩௧௬௬௬ Thai ๑๓๑๖๖๖ Tibetan ༡༣༡༦༦༦ Khmer ១៣១៦៦៦ Lao ໑໓໑໖໖໖ Burmese ၁၃၁၆၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131666, here are decompositions:

  • 229 + 131437 = 131666
  • 349 + 131317 = 131666
  • 373 + 131293 = 131666
  • 463 + 131203 = 131666
  • 523 + 131143 = 131666
  • 607 + 131059 = 131666
  • 643 + 131023 = 131666
  • 709 + 130957 = 131666

Showing the first eight; more decompositions exist.

Unicode codepoint
𠉒
CJK Unified Ideograph-20252
U+20252
Other letter (Lo)

UTF-8 encoding: F0 A0 89 92 (4 bytes).

Hex color
#020252
RGB(2, 2, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.82.

Address
0.2.2.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.82

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 131,666 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 131666 first appears in π at position 800,608 of the decimal expansion (the 800,608ordinal-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.