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131,586

131,586 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.).

131,586 (one hundred thirty-one thousand five hundred eighty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 13 × 241. Its proper divisors sum to 193,662, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20202.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
720
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
685,131
Recamán's sequence
a(229,200) = 131,586
Square (n²)
17,314,875,396
Cube (n³)
2,278,395,193,858,056
Divisor count
32
σ(n) — sum of divisors
325,248
φ(n) — Euler's totient
34,560
Sum of prime factors
266

Primality

Prime factorization: 2 × 3 × 7 × 13 × 241

Nearest primes: 131,581 (−5) · 131,591 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 13 · 14 · 21 · 26 · 39 · 42 · 78 · 91 · 182 · 241 · 273 · 482 · 546 · 723 · 1446 · 1687 · 3133 · 3374 · 5061 · 6266 · 9399 · 10122 · 18798 · 21931 · 43862 · 65793 (half) · 131586
Aliquot sum (sum of proper divisors): 193,662
Factor pairs (a × b = 131,586)
1 × 131586
2 × 65793
3 × 43862
6 × 21931
7 × 18798
13 × 10122
14 × 9399
21 × 6266
26 × 5061
39 × 3374
42 × 3133
78 × 1687
91 × 1446
182 × 723
241 × 546
273 × 482
First multiples
131,586 · 263,172 (double) · 394,758 · 526,344 · 657,930 · 789,516 · 921,102 · 1,052,688 · 1,184,274 · 1,315,860

Sums & aliquot sequence

As consecutive integers: 43,861 + 43,862 + 43,863 32,895 + 32,896 + 32,897 + 32,898 18,795 + 18,796 + … + 18,801 10,960 + 10,961 + … + 10,971
Aliquot sequence: 131,586 193,662 311,778 363,780 789,372 1,257,428 943,078 471,542 273,058 138,782 110,050 104,222 61,186 30,596 22,954 13,046 8,338 — unresolved within range

Continued fraction of √n

√131,586 = [362; (1, 2, 1, 28, 3, 1, 2, 2, 1, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, …)]

Representations

In words
one hundred thirty-one thousand five hundred eighty-six
Ordinal
131586th
Binary
100000001000000010
Octal
401002
Hexadecimal
0x20202
Base64
AgIC
One's complement
4,294,835,709 (32-bit)
Scientific notation
1.31586 × 10⁵
As a duration
131,586 s = 1 day, 12 hours, 33 minutes, 6 seconds
In other bases
ternary (3) 20200111120
quaternary (4) 200020002
quinary (5) 13202321
senary (6) 2453110
septenary (7) 1055430
nonary (9) 220446
undecimal (11) 8a954
duodecimal (12) 64196
tridecimal (13) 47b80
tetradecimal (14) 35d50
pentadecimal (15) 28ec6
Palindromic in base 4, base 16

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφπϛʹ
Mayan (base 20)
𝋰·𝋨·𝋳·𝋦
Chinese
一十三萬一千五百八十六
Chinese (financial)
壹拾參萬壹仟伍佰捌拾陸
In other modern scripts
Eastern Arabic ١٣١٥٨٦ Devanagari १३१५८६ Bengali ১৩১৫৮৬ Tamil ௧௩௧௫௮௬ Thai ๑๓๑๕๘๖ Tibetan ༡༣༡༥༨༦ Khmer ១៣១៥៨៦ Lao ໑໓໑໕໘໖ Burmese ၁၃၁၅၈၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131586, here are decompositions:

  • 5 + 131581 = 131586
  • 43 + 131543 = 131586
  • 67 + 131519 = 131586
  • 79 + 131507 = 131586
  • 89 + 131497 = 131586
  • 97 + 131489 = 131586
  • 107 + 131479 = 131586
  • 109 + 131477 = 131586

Showing the first eight; more decompositions exist.

Unicode codepoint
𠈂
CJK Unified Ideograph-20202
U+20202
Other letter (Lo)

UTF-8 encoding: F0 A0 88 82 (4 bytes).

Hex color
#020202
RGB(2, 2, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.2.

Address
0.2.2.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.2

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 131,586 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 131586 first appears in π at position 576,849 of the decimal expansion (the 576,849ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.