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131,856

131,856 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.).

131,856 (one hundred thirty-one thousand eight hundred fifty-six) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 41 × 67. Its proper divisors sum to 222,288, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20310.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
720
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
658,131
Recamán's sequence
a(228,660) = 131,856
Square (n²)
17,386,004,736
Cube (n³)
2,292,449,040,470,016
Divisor count
40
σ(n) — sum of divisors
354,144
φ(n) — Euler's totient
42,240
Sum of prime factors
119

Primality

Prime factorization: 2 4 × 3 × 41 × 67

Nearest primes: 131,849 (−7) · 131,861 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 41 · 48 · 67 · 82 · 123 · 134 · 164 · 201 · 246 · 268 · 328 · 402 · 492 · 536 · 656 · 804 · 984 · 1072 · 1608 · 1968 · 2747 · 3216 · 5494 · 8241 · 10988 · 16482 · 21976 · 32964 · 43952 · 65928 (half) · 131856
Aliquot sum (sum of proper divisors): 222,288
Factor pairs (a × b = 131,856)
1 × 131856
2 × 65928
3 × 43952
4 × 32964
6 × 21976
8 × 16482
12 × 10988
16 × 8241
24 × 5494
41 × 3216
48 × 2747
67 × 1968
82 × 1608
123 × 1072
134 × 984
164 × 804
201 × 656
246 × 536
268 × 492
328 × 402
First multiples
131,856 · 263,712 (double) · 395,568 · 527,424 · 659,280 · 791,136 · 922,992 · 1,054,848 · 1,186,704 · 1,318,560

Sums & aliquot sequence

As consecutive integers: 43,951 + 43,952 + 43,953 4,105 + 4,106 + … + 4,136 3,196 + 3,197 + … + 3,236 1,935 + 1,936 + … + 2,001
Aliquot sequence: 131,856 222,288 405,648 772,166 386,086 193,046 137,914 98,534 57,106 40,814 20,410 19,406 10,738 9,422 6,754 4,334 2,794 — unresolved within range

Continued fraction of √n

√131,856 = [363; (8, 2, 1, 7, 1, 28, 6, 14, 1, 1, 1, 9, 3, 2, 5, 4, 8, 1, 5, 4, 1, 2, 1, 4, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred fifty-six
Ordinal
131856th
Binary
100000001100010000
Octal
401420
Hexadecimal
0x20310
Base64
AgMQ
One's complement
4,294,835,439 (32-bit)
Scientific notation
1.31856 × 10⁵
As a duration
131,856 s = 1 day, 12 hours, 37 minutes, 36 seconds
In other bases
ternary (3) 20200212120
quaternary (4) 200030100
quinary (5) 13204411
senary (6) 2454240
septenary (7) 1056264
nonary (9) 220776
undecimal (11) 9007a
duodecimal (12) 64380
tridecimal (13) 4802a
tetradecimal (14) 360a4
pentadecimal (15) 29106

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωνϛʹ
Mayan (base 20)
𝋰·𝋩·𝋬·𝋰
Chinese
一十三萬一千八百五十六
Chinese (financial)
壹拾參萬壹仟捌佰伍拾陸
In other modern scripts
Eastern Arabic ١٣١٨٥٦ Devanagari १३१८५६ Bengali ১৩১৮৫৬ Tamil ௧௩௧௮௫௬ Thai ๑๓๑๘๕๖ Tibetan ༡༣༡༨༥༦ Khmer ១៣១៨៥៦ Lao ໑໓໑໘໕໖ Burmese ၁၃၁၈၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131856, here are decompositions:

  • 7 + 131849 = 131856
  • 17 + 131839 = 131856
  • 19 + 131837 = 131856
  • 59 + 131797 = 131856
  • 73 + 131783 = 131856
  • 79 + 131777 = 131856
  • 97 + 131759 = 131856
  • 107 + 131749 = 131856

Showing the first eight; more decompositions exist.

Unicode codepoint
𠌐
CJK Unified Ideograph-20310
U+20310
Other letter (Lo)

UTF-8 encoding: F0 A0 8C 90 (4 bytes).

Hex color
#020310
RGB(2, 3, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.16.

Address
0.2.3.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.16

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 131,856 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 131856 first appears in π at position 957,171 of the decimal expansion (the 957,171ordinal-suffix:st 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°.