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131,588

131,588 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.).

131,588 (one hundred thirty-one thousand five hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 67 × 491. Written other ways, in hexadecimal, 0x20204.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
960
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
885,131
Recamán's sequence
a(229,196) = 131,588
Square (n²)
17,315,401,744
Cube (n³)
2,278,499,084,689,472
Divisor count
12
σ(n) — sum of divisors
234,192
φ(n) — Euler's totient
64,680
Sum of prime factors
562

Primality

Prime factorization: 2 2 × 67 × 491

Nearest primes: 131,581 (−7) · 131,591 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 67 · 134 · 268 · 491 · 982 · 1964 · 32897 · 65794 (half) · 131588
Aliquot sum (sum of proper divisors): 102,604
Factor pairs (a × b = 131,588)
1 × 131588
2 × 65794
4 × 32897
67 × 1964
134 × 982
268 × 491
First multiples
131,588 · 263,176 (double) · 394,764 · 526,352 · 657,940 · 789,528 · 921,116 · 1,052,704 · 1,184,292 · 1,315,880

Sums & aliquot sequence

As consecutive integers: 16,445 + 16,446 + … + 16,452 1,931 + 1,932 + … + 1,997 23 + 24 + … + 513
Aliquot sequence: 131,588 102,604 79,340 87,316 67,916 50,944 51,256 47,744 47,626 23,816 24,484 18,370 17,918 11,554 6,266 3,898 1,952 — unresolved within range

Continued fraction of √n

√131,588 = [362; (1, 3, 103, 2, 1, 1, 5, 14, 1, 1, 1, 2, 5, 1, 2, 1, 1, 2, 1, 1, 1, 42, 22, 1, …)]

Representations

In words
one hundred thirty-one thousand five hundred eighty-eight
Ordinal
131588th
Binary
100000001000000100
Octal
401004
Hexadecimal
0x20204
Base64
AgIE
One's complement
4,294,835,707 (32-bit)
Scientific notation
1.31588 × 10⁵
As a duration
131,588 s = 1 day, 12 hours, 33 minutes, 8 seconds
In other bases
ternary (3) 20200111122
quaternary (4) 200020010
quinary (5) 13202323
senary (6) 2453112
septenary (7) 1055432
nonary (9) 220448
undecimal (11) 8a956
duodecimal (12) 64198
tridecimal (13) 47b82
tetradecimal (14) 35d52
pentadecimal (15) 28ec8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφπηʹ
Mayan (base 20)
𝋰·𝋨·𝋳·𝋨
Chinese
一十三萬一千五百八十八
Chinese (financial)
壹拾參萬壹仟伍佰捌拾捌
In other modern scripts
Eastern Arabic ١٣١٥٨٨ Devanagari १३१५८८ Bengali ১৩১৫৮৮ Tamil ௧௩௧௫௮௮ Thai ๑๓๑๕๘๘ Tibetan ༡༣༡༥༨༨ Khmer ១៣១៥៨៨ Lao ໑໓໑໕໘໘ Burmese ၁၃၁၅၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131588, here are decompositions:

  • 7 + 131581 = 131588
  • 109 + 131479 = 131588
  • 139 + 131449 = 131588
  • 151 + 131437 = 131588
  • 157 + 131431 = 131588
  • 271 + 131317 = 131588
  • 277 + 131311 = 131588
  • 337 + 131251 = 131588

Showing the first eight; more decompositions exist.

Unicode codepoint
𠈄
CJK Unified Ideograph-20204
U+20204
Other letter (Lo)

UTF-8 encoding: F0 A0 88 84 (4 bytes).

Hex color
#020204
RGB(2, 2, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.4.

Address
0.2.2.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.4

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 131,588 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.