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131,846

131,846 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.).

131,846 (one hundred thirty-one thousand eight hundred forty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 13 × 461. Written other ways, in hexadecimal, 0x20306.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
648,131
Recamán's sequence
a(228,680) = 131,846
Square (n²)
17,383,367,716
Cube (n³)
2,291,927,499,883,736
Divisor count
16
σ(n) — sum of divisors
232,848
φ(n) — Euler's totient
55,200
Sum of prime factors
487

Primality

Prime factorization: 2 × 11 × 13 × 461

Nearest primes: 131,839 (−7) · 131,849 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 13 · 22 · 26 · 143 · 286 · 461 · 922 · 5071 · 5993 · 10142 · 11986 · 65923 (half) · 131846
Aliquot sum (sum of proper divisors): 101,002
Factor pairs (a × b = 131,846)
1 × 131846
2 × 65923
11 × 11986
13 × 10142
22 × 5993
26 × 5071
143 × 922
286 × 461
First multiples
131,846 · 263,692 (double) · 395,538 · 527,384 · 659,230 · 791,076 · 922,922 · 1,054,768 · 1,186,614 · 1,318,460

Sums & aliquot sequence

As consecutive integers: 32,960 + 32,961 + 32,962 + 32,963 11,981 + 11,982 + … + 11,991 10,136 + 10,137 + … + 10,148 2,975 + 2,976 + … + 3,018
Aliquot sequence: 131,846 101,002 64,310 54,490 43,610 48,730 47,174 24,586 14,294 10,234 8,774 4,834 2,420 3,166 1,586 1,018 512 — unresolved within range

Continued fraction of √n

√131,846 = [363; (9, 2, 3, 14, 1, 1, 7, 7, 1, 5, 1, 1, 4, 1, 1, 5, 1, 7, 7, 1, 1, 14, 3, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred forty-six
Ordinal
131846th
Binary
100000001100000110
Octal
401406
Hexadecimal
0x20306
Base64
AgMG
One's complement
4,294,835,449 (32-bit)
Scientific notation
1.31846 × 10⁵
As a duration
131,846 s = 1 day, 12 hours, 37 minutes, 26 seconds
In other bases
ternary (3) 20200212012
quaternary (4) 200030012
quinary (5) 13204341
senary (6) 2454222
septenary (7) 1056251
nonary (9) 220765
undecimal (11) 90070
duodecimal (12) 64372
tridecimal (13) 48020
tetradecimal (14) 36098
pentadecimal (15) 290eb

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωμϛʹ
Mayan (base 20)
𝋰·𝋩·𝋬·𝋦
Chinese
一十三萬一千八百四十六
Chinese (financial)
壹拾參萬壹仟捌佰肆拾陸
In other modern scripts
Eastern Arabic ١٣١٨٤٦ Devanagari १३१८४६ Bengali ১৩১৮৪৬ Tamil ௧௩௧௮௪௬ Thai ๑๓๑๘๔๖ Tibetan ༡༣༡༨༤༦ Khmer ១៣១៨៤៦ Lao ໑໓໑໘໔໖ Burmese ၁၃၁၈၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131846, here are decompositions:

  • 7 + 131839 = 131846
  • 67 + 131779 = 131846
  • 97 + 131749 = 131846
  • 103 + 131743 = 131846
  • 139 + 131707 = 131846
  • 229 + 131617 = 131846
  • 349 + 131497 = 131846
  • 367 + 131479 = 131846

Showing the first eight; more decompositions exist.

Unicode codepoint
𠌆
CJK Unified Ideograph-20306
U+20306
Other letter (Lo)

UTF-8 encoding: F0 A0 8C 86 (4 bytes).

Hex color
#020306
RGB(2, 3, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.6.

Address
0.2.3.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.6

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 131,846 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.