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131,382

131,382 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.).

131,382 (one hundred thirty-one thousand three hundred eighty-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2 × 3⁴ × 811. Its proper divisors sum to 163,374, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20136.

Abundant Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
283,131
Square (n²)
17,261,229,924
Cube (n³)
2,267,814,909,874,968
Divisor count
20
σ(n) — sum of divisors
294,756
φ(n) — Euler's totient
43,740
Sum of prime factors
825

Primality

Prime factorization: 2 × 3 4 × 811

Nearest primes: 131,381 (−1) · 131,413 (+31)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 81 · 162 · 811 · 1622 · 2433 · 4866 · 7299 · 14598 · 21897 · 43794 · 65691 (half) · 131382
Aliquot sum (sum of proper divisors): 163,374
Factor pairs (a × b = 131,382)
1 × 131382
2 × 65691
3 × 43794
6 × 21897
9 × 14598
18 × 7299
27 × 4866
54 × 2433
81 × 1622
162 × 811
First multiples
131,382 · 262,764 (double) · 394,146 · 525,528 · 656,910 · 788,292 · 919,674 · 1,051,056 · 1,182,438 · 1,313,820

Sums & aliquot sequence

As consecutive integers: 43,793 + 43,794 + 43,795 32,844 + 32,845 + 32,846 + 32,847 14,594 + 14,595 + … + 14,602 10,943 + 10,944 + … + 10,954
Aliquot sequence: 131,382 163,374 168,738 168,750 299,970 581,310 969,570 2,178,270 3,485,466 4,395,654 5,372,586 6,268,056 9,402,144 15,955,104 31,400,736 53,876,064 101,847,840 — unresolved within range

Continued fraction of √n

√131,382 = [362; (2, 6, 1, 37, 3, 2, 9, 1, 3, 1, 1, 3, 31, 4, 4, 1, 4, 1, 1, 1, 1, 79, 1, 15, …)]

Representations

In words
one hundred thirty-one thousand three hundred eighty-two
Ordinal
131382nd
Binary
100000000100110110
Octal
400466
Hexadecimal
0x20136
Base64
AgE2
One's complement
4,294,835,913 (32-bit)
Scientific notation
1.31382 × 10⁵
As a duration
131,382 s = 1 day, 12 hours, 29 minutes, 42 seconds
In other bases
ternary (3) 20200020000
quaternary (4) 200010312
quinary (5) 13201012
senary (6) 2452130
septenary (7) 1055016
nonary (9) 220200
undecimal (11) 8a789
duodecimal (12) 64046
tridecimal (13) 47a54
tetradecimal (14) 35c46
pentadecimal (15) 28ddc
Palindromic in base 12

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλατπβʹ
Mayan (base 20)
𝋰·𝋨·𝋩·𝋢
Chinese
一十三萬一千三百八十二
Chinese (financial)
壹拾參萬壹仟參佰捌拾貳
In other modern scripts
Eastern Arabic ١٣١٣٨٢ Devanagari १३१३८२ Bengali ১৩১৩৮২ Tamil ௧௩௧௩௮௨ Thai ๑๓๑๓๘๒ Tibetan ༡༣༡༣༨༢ Khmer ១៣១៣៨២ Lao ໑໓໑໓໘໒ Burmese ၁၃၁၃၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131382, here are decompositions:

  • 11 + 131371 = 131382
  • 19 + 131363 = 131382
  • 61 + 131321 = 131382
  • 71 + 131311 = 131382
  • 79 + 131303 = 131382
  • 89 + 131293 = 131382
  • 131 + 131251 = 131382
  • 151 + 131231 = 131382

Showing the first eight; more decompositions exist.

Unicode codepoint
𠄶
CJK Unified Ideograph-20136
U+20136
Other letter (Lo)

UTF-8 encoding: F0 A0 84 B6 (4 bytes).

Hex color
#020136
RGB(2, 1, 54)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.54.

Address
0.2.1.54
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.54

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 131,382 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 131382 first appears in π at position 410,548 of the decimal expansion (the 410,548ordinal-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°.