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131,984

131,984 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.).

131,984 (one hundred thirty-one thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 73 × 113. Written other ways, in hexadecimal, 0x20390.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
864
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
489,131
Recamán's sequence
a(228,404) = 131,984
Square (n²)
17,419,776,256
Cube (n³)
2,299,131,749,371,904
Divisor count
20
σ(n) — sum of divisors
261,516
φ(n) — Euler's totient
64,512
Sum of prime factors
194

Primality

Prime factorization: 2 4 × 73 × 113

Nearest primes: 131,969 (−15) · 132,001 (+17)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 73 · 113 · 146 · 226 · 292 · 452 · 584 · 904 · 1168 · 1808 · 8249 · 16498 · 32996 · 65992 (half) · 131984
Aliquot sum (sum of proper divisors): 129,532
Factor pairs (a × b = 131,984)
1 × 131984
2 × 65992
4 × 32996
8 × 16498
16 × 8249
73 × 1808
113 × 1168
146 × 904
226 × 584
292 × 452
First multiples
131,984 · 263,968 (double) · 395,952 · 527,936 · 659,920 · 791,904 · 923,888 · 1,055,872 · 1,187,856 · 1,319,840

Sums & aliquot sequence

As a sum of two squares: 128² + 340² = 172² + 320²
As consecutive integers: 4,109 + 4,110 + … + 4,140 1,772 + 1,773 + … + 1,844 1,112 + 1,113 + … + 1,224
Aliquot sequence: 131,984 129,532 124,484 93,370 74,714 37,360 49,688 43,492 34,124 28,876 21,664 21,050 18,196 13,654 6,830 5,482 2,744 — unresolved within range

Continued fraction of √n

√131,984 = [363; (3, 2, 1, 1, 1, 4, 2, 1, 1, 1, 1, 1, 5, 17, 1, 1, 5, 4, 1, 4, 1, 6, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand nine hundred eighty-four
Ordinal
131984th
Binary
100000001110010000
Octal
401620
Hexadecimal
0x20390
Base64
AgOQ
One's complement
4,294,835,311 (32-bit)
Scientific notation
1.31984 × 10⁵
As a duration
131,984 s = 1 day, 12 hours, 39 minutes, 44 seconds
In other bases
ternary (3) 20201001022
quaternary (4) 200032100
quinary (5) 13210414
senary (6) 2455012
septenary (7) 1056536
nonary (9) 221038
undecimal (11) 90186
duodecimal (12) 64468
tridecimal (13) 480c8
tetradecimal (14) 36156
pentadecimal (15) 2918e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡπδʹ
Mayan (base 20)
𝋰·𝋩·𝋳·𝋤
Chinese
一十三萬一千九百八十四
Chinese (financial)
壹拾參萬壹仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٣١٩٨٤ Devanagari १३१९८४ Bengali ১৩১৯৮৪ Tamil ௧௩௧௯௮௪ Thai ๑๓๑๙๘๔ Tibetan ༡༣༡༩༨༤ Khmer ១៣១៩៨៤ Lao ໑໓໑໙໘໔ Burmese ၁၃၁၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131984, here are decompositions:

  • 37 + 131947 = 131984
  • 43 + 131941 = 131984
  • 241 + 131743 = 131984
  • 271 + 131713 = 131984
  • 277 + 131707 = 131984
  • 283 + 131701 = 131984
  • 313 + 131671 = 131984
  • 367 + 131617 = 131984

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎐
CJK Unified Ideograph-20390
U+20390
Other letter (Lo)

UTF-8 encoding: F0 A0 8E 90 (4 bytes).

Hex color
#020390
RGB(2, 3, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.144.

Address
0.2.3.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.144

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 131,984 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 131984 first appears in π at position 305,464 of the decimal expansion (the 305,464ordinal-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

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