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131,536

131,536 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.).

131,536 (one hundred thirty-one thousand five hundred thirty-six) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,221. Written other ways, in hexadecimal, 0x201D0.

Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
270
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
635,131
Recamán's sequence
a(229,300) = 131,536
Square (n²)
17,301,719,296
Cube (n³)
2,275,798,949,318,656
Divisor count
10
σ(n) — sum of divisors
254,882
φ(n) — Euler's totient
65,760
Sum of prime factors
8,229

Primality

Prime factorization: 2 4 × 8221

Nearest primes: 131,519 (−17) · 131,543 (+7)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8221 · 16442 · 32884 · 65768 (half) · 131536
Aliquot sum (sum of proper divisors): 123,346
Factor pairs (a × b = 131,536)
1 × 131536
2 × 65768
4 × 32884
8 × 16442
16 × 8221
First multiples
131,536 · 263,072 (double) · 394,608 · 526,144 · 657,680 · 789,216 · 920,752 · 1,052,288 · 1,183,824 · 1,315,360

Sums & aliquot sequence

As a sum of two squares: 44² + 360²
As consecutive integers: 4,095 + 4,096 + … + 4,126
Aliquot sequence: 131,536 123,346 61,676 52,732 39,556 41,084 30,820 37,724 28,300 33,328 31,276 31,332 52,444 52,500 122,444 122,500 189,119 — unresolved within range

Continued fraction of √n

√131,536 = [362; (1, 2, 8, 1, 2, 1, 3, 28, 1, 2, 1, 21, 4, 3, 2, 1, 3, 3, 1, 3, 6, 2, 4, 1, …)]

Representations

In words
one hundred thirty-one thousand five hundred thirty-six
Ordinal
131536th
Binary
100000000111010000
Octal
400720
Hexadecimal
0x201D0
Base64
AgHQ
One's complement
4,294,835,759 (32-bit)
Scientific notation
1.31536 × 10⁵
As a duration
131,536 s = 1 day, 12 hours, 32 minutes, 16 seconds
In other bases
ternary (3) 20200102201
quaternary (4) 200013100
quinary (5) 13202121
senary (6) 2452544
septenary (7) 1055326
nonary (9) 220381
undecimal (11) 8a909
duodecimal (12) 64154
tridecimal (13) 47b42
tetradecimal (14) 35d16
pentadecimal (15) 28e91

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφλϛʹ
Mayan (base 20)
𝋰·𝋨·𝋰·𝋰
Chinese
一十三萬一千五百三十六
Chinese (financial)
壹拾參萬壹仟伍佰參拾陸
In other modern scripts
Eastern Arabic ١٣١٥٣٦ Devanagari १३१५३६ Bengali ১৩১৫৩৬ Tamil ௧௩௧௫௩௬ Thai ๑๓๑๕๓๖ Tibetan ༡༣༡༥༣༦ Khmer ១៣១៥៣៦ Lao ໑໓໑໕໓໖ Burmese ၁၃၁၅၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131536, here are decompositions:

  • 17 + 131519 = 131536
  • 29 + 131507 = 131536
  • 47 + 131489 = 131536
  • 59 + 131477 = 131536
  • 89 + 131447 = 131536
  • 173 + 131363 = 131536
  • 179 + 131357 = 131536
  • 233 + 131303 = 131536

Showing the first eight; more decompositions exist.

Unicode codepoint
𠇐
CJK Unified Ideograph-201D0
U+201D0
Other letter (Lo)

UTF-8 encoding: F0 A0 87 90 (4 bytes).

Hex color
#0201D0
RGB(2, 1, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.208.

Address
0.2.1.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.208

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 131,536 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 131536 first appears in π at position 719,133 of the decimal expansion (the 719,133ordinal-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