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131,334

131,334 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.).

131,334 (one hundred thirty-one thousand three hundred thirty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 53 × 59. Its proper divisors sum to 179,706, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20106.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
108
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
433,131
Square (n²)
17,248,619,556
Cube (n³)
2,265,330,200,767,704
Divisor count
32
σ(n) — sum of divisors
311,040
φ(n) — Euler's totient
36,192
Sum of prime factors
124

Primality

Prime factorization: 2 × 3 × 7 × 53 × 59

Nearest primes: 131,321 (−13) · 131,357 (+23)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 53 · 59 · 106 · 118 · 159 · 177 · 318 · 354 · 371 · 413 · 742 · 826 · 1113 · 1239 · 2226 · 2478 · 3127 · 6254 · 9381 · 18762 · 21889 · 43778 · 65667 (half) · 131334
Aliquot sum (sum of proper divisors): 179,706
Factor pairs (a × b = 131,334)
1 × 131334
2 × 65667
3 × 43778
6 × 21889
7 × 18762
14 × 9381
21 × 6254
42 × 3127
53 × 2478
59 × 2226
106 × 1239
118 × 1113
159 × 826
177 × 742
318 × 413
354 × 371
First multiples
131,334 · 262,668 (double) · 394,002 · 525,336 · 656,670 · 788,004 · 919,338 · 1,050,672 · 1,182,006 · 1,313,340

Sums & aliquot sequence

As consecutive integers: 43,777 + 43,778 + 43,779 32,832 + 32,833 + 32,834 + 32,835 18,759 + 18,760 + … + 18,765 10,939 + 10,940 + … + 10,950
Aliquot sequence: 131,334 179,706 186,342 215,178 215,190 359,370 694,710 1,240,650 2,181,750 3,265,770 4,914,582 5,081,898 5,081,910 7,319,082 7,319,094 7,319,106 10,099,134 — unresolved within range

Continued fraction of √n

√131,334 = [362; (2, 2, 120, 2, 2, 724)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred thirty-four
Ordinal
131334th
Binary
100000000100000110
Octal
400406
Hexadecimal
0x20106
Base64
AgEG
One's complement
4,294,835,961 (32-bit)
Scientific notation
1.31334 × 10⁵
As a duration
131,334 s = 1 day, 12 hours, 28 minutes, 54 seconds
In other bases
ternary (3) 20200011020
quaternary (4) 200010012
quinary (5) 13200314
senary (6) 2452010
septenary (7) 1054620
nonary (9) 220136
undecimal (11) 8a745
duodecimal (12) 64006
tridecimal (13) 47a18
tetradecimal (14) 35c10
pentadecimal (15) 28da9

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατλδʹ
Mayan (base 20)
𝋰·𝋨·𝋦·𝋮
Chinese
一十三萬一千三百三十四
Chinese (financial)
壹拾參萬壹仟參佰參拾肆
In other modern scripts
Eastern Arabic ١٣١٣٣٤ Devanagari १३१३३४ Bengali ১৩১৩৩৪ Tamil ௧௩௧௩௩௪ Thai ๑๓๑๓๓๔ Tibetan ༡༣༡༣༣༤ Khmer ១៣១៣៣៤ Lao ໑໓໑໓໓໔ Burmese ၁၃၁၃၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131334, here are decompositions:

  • 13 + 131321 = 131334
  • 17 + 131317 = 131334
  • 23 + 131311 = 131334
  • 31 + 131303 = 131334
  • 37 + 131297 = 131334
  • 41 + 131293 = 131334
  • 67 + 131267 = 131334
  • 83 + 131251 = 131334

Showing the first eight; more decompositions exist.

Unicode codepoint
𠄆
CJK Unified Ideograph-20106
U+20106
Other letter (Lo)

UTF-8 encoding: F0 A0 84 86 (4 bytes).

Hex color
#020106
RGB(2, 1, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.6.

Address
0.2.1.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.6

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 131,334 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 131334 first appears in π at position 192,767 of the decimal expansion (the 192,767ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.