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131,936

131,936 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.).

131,936 (one hundred thirty-one thousand nine hundred thirty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7 × 19 × 31. Its proper divisors sum to 190,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20360.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
486
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
639,131
Recamán's sequence
a(228,500) = 131,936
Square (n²)
17,407,108,096
Cube (n³)
2,296,624,213,753,856
Divisor count
48
σ(n) — sum of divisors
322,560
φ(n) — Euler's totient
51,840
Sum of prime factors
67

Primality

Prime factorization: 2 5 × 7 × 19 × 31

Nearest primes: 131,933 (−3) · 131,939 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 19 · 28 · 31 · 32 · 38 · 56 · 62 · 76 · 112 · 124 · 133 · 152 · 217 · 224 · 248 · 266 · 304 · 434 · 496 · 532 · 589 · 608 · 868 · 992 · 1064 · 1178 · 1736 · 2128 · 2356 · 3472 · 4123 · 4256 · 4712 · 6944 · 8246 · 9424 · 16492 · 18848 · 32984 · 65968 (half) · 131936
Aliquot sum (sum of proper divisors): 190,624
Factor pairs (a × b = 131,936)
1 × 131936
2 × 65968
4 × 32984
7 × 18848
8 × 16492
14 × 9424
16 × 8246
19 × 6944
28 × 4712
31 × 4256
32 × 4123
38 × 3472
56 × 2356
62 × 2128
76 × 1736
112 × 1178
124 × 1064
133 × 992
152 × 868
217 × 608
224 × 589
248 × 532
266 × 496
304 × 434
First multiples
131,936 · 263,872 (double) · 395,808 · 527,744 · 659,680 · 791,616 · 923,552 · 1,055,488 · 1,187,424 · 1,319,360

Sums & aliquot sequence

As consecutive integers: 18,845 + 18,846 + … + 18,851 6,935 + 6,936 + … + 6,953 4,241 + 4,242 + … + 4,271 2,030 + 2,031 + … + 2,093
Aliquot sequence: 131,936 190,624 269,024 336,784 440,944 574,864 655,216 656,208 1,605,552 3,060,816 6,438,576 10,734,928 11,692,208 13,829,968 13,830,960 38,451,408 64,089,648 — unresolved within range

Continued fraction of √n

√131,936 = [363; (4, 2, 1, 6, 1, 1, 2, 1, 22, 1, 2, 1, 1, 6, 1, 2, 4, 726)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred thirty-six
Ordinal
131936th
Binary
100000001101100000
Octal
401540
Hexadecimal
0x20360
Base64
AgNg
One's complement
4,294,835,359 (32-bit)
Scientific notation
1.31936 × 10⁵
As a duration
131,936 s = 1 day, 12 hours, 38 minutes, 56 seconds
In other bases
ternary (3) 20200222112
quaternary (4) 200031200
quinary (5) 13210221
senary (6) 2454452
septenary (7) 1056440
nonary (9) 220875
undecimal (11) 90142
duodecimal (12) 64428
tridecimal (13) 4808c
tetradecimal (14) 36120
pentadecimal (15) 2915b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡλϛʹ
Mayan (base 20)
𝋰·𝋩·𝋰·𝋰
Chinese
一十三萬一千九百三十六
Chinese (financial)
壹拾參萬壹仟玖佰參拾陸
In other modern scripts
Eastern Arabic ١٣١٩٣٦ Devanagari १३१९३६ Bengali ১৩১৯৩৬ Tamil ௧௩௧௯௩௬ Thai ๑๓๑๙๓๖ Tibetan ༡༣༡༩༣༦ Khmer ១៣១៩៣៦ Lao ໑໓໑໙໓໖ Burmese ၁၃၁၉၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131936, here are decompositions:

  • 3 + 131933 = 131936
  • 37 + 131899 = 131936
  • 43 + 131893 = 131936
  • 97 + 131839 = 131936
  • 139 + 131797 = 131936
  • 157 + 131779 = 131936
  • 193 + 131743 = 131936
  • 223 + 131713 = 131936

Showing the first eight; more decompositions exist.

Unicode codepoint
𠍠
CJK Unified Ideograph-20360
U+20360
Other letter (Lo)

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

Hex color
#020360
RGB(2, 3, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.96.

Address
0.2.3.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.96

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 131,936 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.