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131,684

131,684 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.).

131,684 (one hundred thirty-one thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,703. Its proper divisors sum to 131,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20264.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
486,131
Recamán's sequence
a(229,004) = 131,684
Square (n²)
17,340,675,856
Cube (n³)
2,283,489,559,421,504
Divisor count
12
σ(n) — sum of divisors
263,424
φ(n) — Euler's totient
56,424
Sum of prime factors
4,714

Primality

Prime factorization: 2 2 × 7 × 4703

Nearest primes: 131,671 (−13) · 131,687 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4703 · 9406 · 18812 · 32921 · 65842 (half) · 131684
Aliquot sum (sum of proper divisors): 131,740
Factor pairs (a × b = 131,684)
1 × 131684
2 × 65842
4 × 32921
7 × 18812
14 × 9406
28 × 4703
First multiples
131,684 · 263,368 (double) · 395,052 · 526,736 · 658,420 · 790,104 · 921,788 · 1,053,472 · 1,185,156 · 1,316,840

Sums & aliquot sequence

As consecutive integers: 18,809 + 18,810 + … + 18,815 16,457 + 16,458 + … + 16,464 2,324 + 2,325 + … + 2,379
Aliquot sequence: 131,684 131,740 184,772 184,828 217,364 225,526 167,594 119,734 61,634 30,820 37,724 28,300 33,328 31,276 31,332 52,444 52,500 — unresolved within range

Continued fraction of √n

√131,684 = [362; (1, 7, 1, 1, 5, 1, 3, 1, 1, 2, 1, 2, 6, 1, 2, 9, 13, 11, 3, 1, 3, 1, 3, 1, …)]

Representations

In words
one hundred thirty-one thousand six hundred eighty-four
Ordinal
131684th
Binary
100000001001100100
Octal
401144
Hexadecimal
0x20264
Base64
AgJk
One's complement
4,294,835,611 (32-bit)
Scientific notation
1.31684 × 10⁵
As a duration
131,684 s = 1 day, 12 hours, 34 minutes, 44 seconds
In other bases
ternary (3) 20200122012
quaternary (4) 200021210
quinary (5) 13203214
senary (6) 2453352
septenary (7) 1055630
nonary (9) 220565
undecimal (11) 8aa33
duodecimal (12) 64258
tridecimal (13) 47c27
tetradecimal (14) 35dc0
pentadecimal (15) 2903e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαχπδʹ
Mayan (base 20)
𝋰·𝋩·𝋤·𝋤
Chinese
一十三萬一千六百八十四
Chinese (financial)
壹拾參萬壹仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ١٣١٦٨٤ Devanagari १३१६८४ Bengali ১৩১৬৮৪ Tamil ௧௩௧௬௮௪ Thai ๑๓๑๖๘๔ Tibetan ༡༣༡༦༨༤ Khmer ១៣១៦៨៤ Lao ໑໓໑໖໘໔ Burmese ၁၃၁၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131684, here are decompositions:

  • 13 + 131671 = 131684
  • 43 + 131641 = 131684
  • 67 + 131617 = 131684
  • 73 + 131611 = 131684
  • 103 + 131581 = 131684
  • 271 + 131413 = 131684
  • 313 + 131371 = 131684
  • 367 + 131317 = 131684

Showing the first eight; more decompositions exist.

Unicode codepoint
𠉤
CJK Unified Ideograph-20264
U+20264
Other letter (Lo)

UTF-8 encoding: F0 A0 89 A4 (4 bytes).

Hex color
#020264
RGB(2, 2, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.100.

Address
0.2.2.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.100

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 131,684 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.