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131,968

131,968 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.).

131,968 (one hundred thirty-one thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2⁷ × 1,031. Written other ways, in hexadecimal, 0x20380.

Deficient Number Evil Number Happy Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
1,296
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
869,131
Recamán's sequence
a(228,436) = 131,968
Square (n²)
17,415,553,024
Cube (n³)
2,298,295,701,471,232
Divisor count
16
σ(n) — sum of divisors
263,160
φ(n) — Euler's totient
65,920
Sum of prime factors
1,045

Primality

Prime factorization: 2 7 × 1031

Nearest primes: 131,959 (−9) · 131,969 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 1031 · 2062 · 4124 · 8248 · 16496 · 32992 · 65984 (half) · 131968
Aliquot sum (sum of proper divisors): 131,192
Factor pairs (a × b = 131,968)
1 × 131968
2 × 65984
4 × 32992
8 × 16496
16 × 8248
32 × 4124
64 × 2062
128 × 1031
First multiples
131,968 · 263,936 (double) · 395,904 · 527,872 · 659,840 · 791,808 · 923,776 · 1,055,744 · 1,187,712 · 1,319,680

Sums & aliquot sequence

As consecutive integers: 388 + 389 + … + 643
Aliquot sequence: 131,968 131,192 134,248 121,532 100,564 81,324 132,120 298,440 672,660 1,443,636 2,299,404 3,128,676 4,171,596 8,095,260 14,571,636 20,412,012 30,115,220 — unresolved within range

Continued fraction of √n

√131,968 = [363; (3, 1, 1, 1, 5, 1, 5, 1, 2, 3, 2, 3, 3, 1, 2, 8, 1, 1, 1, 1, 4, 4, 1, 4, …)]

Representations

In words
one hundred thirty-one thousand nine hundred sixty-eight
Ordinal
131968th
Binary
100000001110000000
Octal
401600
Hexadecimal
0x20380
Base64
AgOA
One's complement
4,294,835,327 (32-bit)
Scientific notation
1.31968 × 10⁵
As a duration
131,968 s = 1 day, 12 hours, 39 minutes, 28 seconds
In other bases
ternary (3) 20201000201
quaternary (4) 200032000
quinary (5) 13210333
senary (6) 2454544
septenary (7) 1056514
nonary (9) 221021
undecimal (11) 90171
duodecimal (12) 64454
tridecimal (13) 480b5
tetradecimal (14) 36144
pentadecimal (15) 2917d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡξηʹ
Mayan (base 20)
𝋰·𝋩·𝋲·𝋨
Chinese
一十三萬一千九百六十八
Chinese (financial)
壹拾參萬壹仟玖佰陸拾捌
In other modern scripts
Eastern Arabic ١٣١٩٦٨ Devanagari १३१९६८ Bengali ১৩১৯৬৮ Tamil ௧௩௧௯௬௮ Thai ๑๓๑๙๖๘ Tibetan ༡༣༡༩༦༨ Khmer ១៣១៩៦៨ Lao ໑໓໑໙໖໘ Burmese ၁၃၁၉၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131968, here are decompositions:

  • 29 + 131939 = 131968
  • 41 + 131927 = 131968
  • 59 + 131909 = 131968
  • 107 + 131861 = 131968
  • 131 + 131837 = 131968
  • 191 + 131777 = 131968
  • 197 + 131771 = 131968
  • 257 + 131711 = 131968

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎀
CJK Unified Ideograph-20380
U+20380
Other letter (Lo)

UTF-8 encoding: F0 A0 8E 80 (4 bytes).

Hex color
#020380
RGB(2, 3, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.128.

Address
0.2.3.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.128

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 131,968 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 131968 first appears in π at position 641,200 of the decimal expansion (the 641,200ordinal-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