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131,564

131,564 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.).

131,564 (one hundred thirty-one thousand five hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 31 × 1,061. Written other ways, in hexadecimal, 0x201EC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
360
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
465,131
Recamán's sequence
a(229,244) = 131,564
Square (n²)
17,309,086,096
Cube (n³)
2,277,252,603,134,144
Divisor count
12
σ(n) — sum of divisors
237,888
φ(n) — Euler's totient
63,600
Sum of prime factors
1,096

Primality

Prime factorization: 2 2 × 31 × 1061

Nearest primes: 131,561 (−3) · 131,581 (+17)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 31 · 62 · 124 · 1061 · 2122 · 4244 · 32891 · 65782 (half) · 131564
Aliquot sum (sum of proper divisors): 106,324
Factor pairs (a × b = 131,564)
1 × 131564
2 × 65782
4 × 32891
31 × 4244
62 × 2122
124 × 1061
First multiples
131,564 · 263,128 (double) · 394,692 · 526,256 · 657,820 · 789,384 · 920,948 · 1,052,512 · 1,184,076 · 1,315,640

Sums & aliquot sequence

As consecutive integers: 16,442 + 16,443 + … + 16,449 4,229 + 4,230 + … + 4,259 407 + 408 + … + 654
Aliquot sequence: 131,564 106,324 89,676 146,196 238,188 342,420 692,460 1,408,548 1,911,804 2,572,116 3,490,668 5,559,492 7,412,684 6,070,324 5,487,404 4,854,340 5,390,972 — unresolved within range

Continued fraction of √n

√131,564 = [362; (1, 2, 1, 1, 5, 1, 2, 1, 3, 1, 15, 1, 2, 3, 5, 28, 1, 4, 1, 5, 6, 7, 3, 6, …)]

Representations

In words
one hundred thirty-one thousand five hundred sixty-four
Ordinal
131564th
Binary
100000000111101100
Octal
400754
Hexadecimal
0x201EC
Base64
AgHs
One's complement
4,294,835,731 (32-bit)
Scientific notation
1.31564 × 10⁵
As a duration
131,564 s = 1 day, 12 hours, 32 minutes, 44 seconds
In other bases
ternary (3) 20200110202
quaternary (4) 200013230
quinary (5) 13202224
senary (6) 2453032
septenary (7) 1055366
nonary (9) 220422
undecimal (11) 8a934
duodecimal (12) 64178
tridecimal (13) 47b64
tetradecimal (14) 35d36
pentadecimal (15) 28eae

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφξδʹ
Mayan (base 20)
𝋰·𝋨·𝋲·𝋤
Chinese
一十三萬一千五百六十四
Chinese (financial)
壹拾參萬壹仟伍佰陸拾肆
In other modern scripts
Eastern Arabic ١٣١٥٦٤ Devanagari १३१५६४ Bengali ১৩১৫৬৪ Tamil ௧௩௧௫௬௪ Thai ๑๓๑๕๖๔ Tibetan ༡༣༡༥༦༤ Khmer ១៣១៥៦៤ Lao ໑໓໑໕໖໔ Burmese ၁၃၁၅၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131564, here are decompositions:

  • 3 + 131561 = 131564
  • 67 + 131497 = 131564
  • 127 + 131437 = 131564
  • 151 + 131413 = 131564
  • 193 + 131371 = 131564
  • 271 + 131293 = 131564
  • 313 + 131251 = 131564
  • 421 + 131143 = 131564

Showing the first eight; more decompositions exist.

Unicode codepoint
𠇬
CJK Unified Ideograph-201Ec
U+201EC
Other letter (Lo)

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

Hex color
#0201EC
RGB(2, 1, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.236.

Address
0.2.1.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.236

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 131,564 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 131564 first appears in π at position 814,562 of the decimal expansion (the 814,562ordinal-suffix:nd 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.