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131,844

131,844 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.).

131,844 (one hundred thirty-one thousand eight hundred forty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,987. Its proper divisors sum to 175,820, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20304.

Abundant Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
384
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
448,131
Recamán's sequence
a(228,684) = 131,844
Square (n²)
17,382,840,336
Cube (n³)
2,291,823,201,259,584
Divisor count
12
σ(n) — sum of divisors
307,664
φ(n) — Euler's totient
43,944
Sum of prime factors
10,994

Primality

Prime factorization: 2 2 × 3 × 10987

Nearest primes: 131,839 (−5) · 131,849 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 10987 · 21974 · 32961 · 43948 · 65922 (half) · 131844
Aliquot sum (sum of proper divisors): 175,820
Factor pairs (a × b = 131,844)
1 × 131844
2 × 65922
3 × 43948
4 × 32961
6 × 21974
12 × 10987
First multiples
131,844 · 263,688 (double) · 395,532 · 527,376 · 659,220 · 791,064 · 922,908 · 1,054,752 · 1,186,596 · 1,318,440

Sums & aliquot sequence

As consecutive integers: 43,947 + 43,948 + 43,949 16,477 + 16,478 + … + 16,484 5,482 + 5,483 + … + 5,505
Aliquot sequence: 131,844 175,820 202,180 261,500 310,708 237,392 236,164 223,484 167,620 219,200 324,106 162,056 148,984 155,936 179,728 177,392 166,336 — unresolved within range

Continued fraction of √n

√131,844 = [363; (9, 1, 2, 7, 4, 1, 1, 4, 1, 1, 2, 10, 1, 21, 10, 1, 1, 1, 2, 1, 2, 1, 1, 2, …)]

Representations

In words
one hundred thirty-one thousand eight hundred forty-four
Ordinal
131844th
Binary
100000001100000100
Octal
401404
Hexadecimal
0x20304
Base64
AgME
One's complement
4,294,835,451 (32-bit)
Scientific notation
1.31844 × 10⁵
As a duration
131,844 s = 1 day, 12 hours, 37 minutes, 24 seconds
In other bases
ternary (3) 20200212010
quaternary (4) 200030010
quinary (5) 13204334
senary (6) 2454220
septenary (7) 1056246
nonary (9) 220763
undecimal (11) 90069
duodecimal (12) 64370
tridecimal (13) 4801b
tetradecimal (14) 36096
pentadecimal (15) 290e9

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωμδʹ
Mayan (base 20)
𝋰·𝋩·𝋬·𝋤
Chinese
一十三萬一千八百四十四
Chinese (financial)
壹拾參萬壹仟捌佰肆拾肆
In other modern scripts
Eastern Arabic ١٣١٨٤٤ Devanagari १३१८४४ Bengali ১৩১৮৪৪ Tamil ௧௩௧௮௪௪ Thai ๑๓๑๘๔๔ Tibetan ༡༣༡༨༤༤ Khmer ១៣១៨៤៤ Lao ໑໓໑໘໔໔ Burmese ၁၃၁၈၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131844, here are decompositions:

  • 5 + 131839 = 131844
  • 7 + 131837 = 131844
  • 47 + 131797 = 131844
  • 61 + 131783 = 131844
  • 67 + 131777 = 131844
  • 73 + 131771 = 131844
  • 101 + 131743 = 131844
  • 113 + 131731 = 131844

Showing the first eight; more decompositions exist.

Unicode codepoint
𠌄
CJK Unified Ideograph-20304
U+20304
Other letter (Lo)

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

Hex color
#020304
RGB(2, 3, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.4.

Address
0.2.3.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.4

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 131,844 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 131844 first appears in π at position 544,690 of the decimal expansion (the 544,690ordinal-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°.