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131,864

131,864 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.).

131,864 (one hundred thirty-one thousand eight hundred sixty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 53 × 311. Written other ways, in hexadecimal, 0x20318.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
468,131
Recamán's sequence
a(228,644) = 131,864
Square (n²)
17,388,114,496
Cube (n³)
2,292,866,329,900,544
Divisor count
16
σ(n) — sum of divisors
252,720
φ(n) — Euler's totient
64,480
Sum of prime factors
370

Primality

Prime factorization: 2 3 × 53 × 311

Nearest primes: 131,861 (−3) · 131,891 (+27)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 53 · 106 · 212 · 311 · 424 · 622 · 1244 · 2488 · 16483 · 32966 · 65932 (half) · 131864
Aliquot sum (sum of proper divisors): 120,856
Factor pairs (a × b = 131,864)
1 × 131864
2 × 65932
4 × 32966
8 × 16483
53 × 2488
106 × 1244
212 × 622
311 × 424
First multiples
131,864 · 263,728 (double) · 395,592 · 527,456 · 659,320 · 791,184 · 923,048 · 1,054,912 · 1,186,776 · 1,318,640

Sums & aliquot sequence

As consecutive integers: 8,234 + 8,235 + … + 8,249 2,462 + 2,463 + … + 2,514 269 + 270 + … + 579
Aliquot sequence: 131,864 120,856 105,764 81,640 117,440 162,976 187,808 182,002 115,430 138,586 111,974 55,990 54,170 43,354 23,066 13,414 7,826 — unresolved within range

Continued fraction of √n

√131,864 = [363; (7, 1, 1, 1, 4, 7, 1, 17, 3, 1, 1, 2, 5, 1, 6, 1, 4, 28, 1, 5, 2, 5, 1, 28, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred sixty-four
Ordinal
131864th
Binary
100000001100011000
Octal
401430
Hexadecimal
0x20318
Base64
AgMY
One's complement
4,294,835,431 (32-bit)
Scientific notation
1.31864 × 10⁵
As a duration
131,864 s = 1 day, 12 hours, 37 minutes, 44 seconds
In other bases
ternary (3) 20200212212
quaternary (4) 200030120
quinary (5) 13204424
senary (6) 2454252
septenary (7) 1056305
nonary (9) 220785
undecimal (11) 90087
duodecimal (12) 64388
tridecimal (13) 48035
tetradecimal (14) 360ac
pentadecimal (15) 2910e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωξδʹ
Mayan (base 20)
𝋰·𝋩·𝋭·𝋤
Chinese
一十三萬一千八百六十四
Chinese (financial)
壹拾參萬壹仟捌佰陸拾肆
In other modern scripts
Eastern Arabic ١٣١٨٦٤ Devanagari १३१८६४ Bengali ১৩১৮৬৪ Tamil ௧௩௧௮௬௪ Thai ๑๓๑๘๖๔ Tibetan ༡༣༡༨༦༤ Khmer ១៣១៨៦៤ Lao ໑໓໑໘໖໔ Burmese ၁၃၁၈၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131864, here are decompositions:

  • 3 + 131861 = 131864
  • 67 + 131797 = 131864
  • 151 + 131713 = 131864
  • 157 + 131707 = 131864
  • 163 + 131701 = 131864
  • 193 + 131671 = 131864
  • 223 + 131641 = 131864
  • 283 + 131581 = 131864

Showing the first eight; more decompositions exist.

Unicode codepoint
𠌘
CJK Unified Ideograph-20318
U+20318
Other letter (Lo)

UTF-8 encoding: F0 A0 8C 98 (4 bytes).

Hex color
#020318
RGB(2, 3, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.24.

Address
0.2.3.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.24

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 131,864 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 131864 first appears in π at position 206,801 of the decimal expansion (the 206,801ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.