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131,906

131,906 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.).

131,906 (one hundred thirty-one thousand nine hundred six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 101 × 653. Written other ways, in hexadecimal, 0x20342.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
609,131
Recamán's sequence
a(228,560) = 131,906
Square (n²)
17,399,192,836
Cube (n³)
2,295,057,930,225,416
Divisor count
8
σ(n) — sum of divisors
200,124
φ(n) — Euler's totient
65,200
Sum of prime factors
756

Primality

Prime factorization: 2 × 101 × 653

Nearest primes: 131,899 (−7) · 131,909 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 101 · 202 · 653 · 1306 · 65953 (half) · 131906
Aliquot sum (sum of proper divisors): 68,218
Factor pairs (a × b = 131,906)
1 × 131906
2 × 65953
101 × 1306
202 × 653
First multiples
131,906 · 263,812 (double) · 395,718 · 527,624 · 659,530 · 791,436 · 923,342 · 1,055,248 · 1,187,154 · 1,319,060

Sums & aliquot sequence

As a sum of two squares: 55² + 359² = 125² + 341²
As consecutive integers: 32,975 + 32,976 + 32,977 + 32,978 1,256 + 1,257 + … + 1,356 125 + 126 + … + 528
Aliquot sequence: 131,906 68,218 38,630 30,922 15,464 13,546 8,378 4,582 2,618 2,566 1,286 646 434 334 170 154 134 — unresolved within range

Continued fraction of √n

√131,906 = [363; (5, 3, 3, 15, 6, 1, 1, 6, 15, 3, 3, 5, 726)]

Period length 13 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred six
Ordinal
131906th
Binary
100000001101000010
Octal
401502
Hexadecimal
0x20342
Base64
AgNC
One's complement
4,294,835,389 (32-bit)
Scientific notation
1.31906 × 10⁵
As a duration
131,906 s = 1 day, 12 hours, 38 minutes, 26 seconds
In other bases
ternary (3) 20200221102
quaternary (4) 200031002
quinary (5) 13210111
senary (6) 2454402
septenary (7) 1056365
nonary (9) 220842
undecimal (11) 90115
duodecimal (12) 64402
tridecimal (13) 48068
tetradecimal (14) 360dc
pentadecimal (15) 2913b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡϛʹ
Mayan (base 20)
𝋰·𝋩·𝋯·𝋦
Chinese
一十三萬一千九百零六
Chinese (financial)
壹拾參萬壹仟玖佰零陸
In other modern scripts
Eastern Arabic ١٣١٩٠٦ Devanagari १३१९०६ Bengali ১৩১৯০৬ Tamil ௧௩௧௯௦௬ Thai ๑๓๑๙๐๖ Tibetan ༡༣༡༩༠༦ Khmer ១៣១៩០៦ Lao ໑໓໑໙໐໖ Burmese ၁၃၁၉၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131906, here are decompositions:

  • 7 + 131899 = 131906
  • 13 + 131893 = 131906
  • 67 + 131839 = 131906
  • 109 + 131797 = 131906
  • 127 + 131779 = 131906
  • 157 + 131749 = 131906
  • 163 + 131743 = 131906
  • 193 + 131713 = 131906

Showing the first eight; more decompositions exist.

Unicode codepoint
𠍂
CJK Unified Ideograph-20342
U+20342
Other letter (Lo)

UTF-8 encoding: F0 A0 8D 82 (4 bytes).

Hex color
#020342
RGB(2, 3, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.66.

Address
0.2.3.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.66

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 131,906 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 131906 first appears in π at position 41,143 of the decimal expansion (the 41,143ordinal-suffix:rd 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.