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131,908

131,908 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.).

131,908 (one hundred thirty-one thousand nine hundred eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 673. Its proper divisors sum to 137,018, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20344.

Abundant Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
809,131
Recamán's sequence
a(228,556) = 131,908
Square (n²)
17,399,720,464
Cube (n³)
2,295,162,326,965,312
Divisor count
18
σ(n) — sum of divisors
268,926
φ(n) — Euler's totient
56,448
Sum of prime factors
691

Primality

Prime factorization: 2 2 × 7 2 × 673

Nearest primes: 131,899 (−9) · 131,909 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 7 · 14 · 28 · 49 · 98 · 196 · 673 · 1346 · 2692 · 4711 · 9422 · 18844 · 32977 · 65954 (half) · 131908
Aliquot sum (sum of proper divisors): 137,018
Factor pairs (a × b = 131,908)
1 × 131908
2 × 65954
4 × 32977
7 × 18844
14 × 9422
28 × 4711
49 × 2692
98 × 1346
196 × 673
First multiples
131,908 · 263,816 (double) · 395,724 · 527,632 · 659,540 · 791,448 · 923,356 · 1,055,264 · 1,187,172 · 1,319,080

Sums & aliquot sequence

As a sum of two squares: 168² + 322²
As consecutive integers: 18,841 + 18,842 + … + 18,847 16,485 + 16,486 + … + 16,492 2,668 + 2,669 + … + 2,716 2,328 + 2,329 + … + 2,383
Aliquot sequence: 131,908 137,018 97,894 48,950 51,490 46,430 37,162 21,914 10,960 14,708 11,038 5,522 3,550 3,146 2,440 3,140 3,496 — unresolved within range

Continued fraction of √n

√131,908 = [363; (5, 4, 2, 5, 4, 2, 1, 1, 2, 24, 1, 1, 1, 22, 26, 1, 6, 11, 4, 1, 5, 1, 2, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred eight
Ordinal
131908th
Binary
100000001101000100
Octal
401504
Hexadecimal
0x20344
Base64
AgNE
One's complement
4,294,835,387 (32-bit)
Scientific notation
1.31908 × 10⁵
As a duration
131,908 s = 1 day, 12 hours, 38 minutes, 28 seconds
In other bases
ternary (3) 20200221111
quaternary (4) 200031010
quinary (5) 13210113
senary (6) 2454404
septenary (7) 1056400
nonary (9) 220844
undecimal (11) 90117
duodecimal (12) 64404
tridecimal (13) 4806a
tetradecimal (14) 36100
pentadecimal (15) 2913d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡηʹ
Mayan (base 20)
𝋰·𝋩·𝋯·𝋨
Chinese
一十三萬一千九百零八
Chinese (financial)
壹拾參萬壹仟玖佰零捌
In other modern scripts
Eastern Arabic ١٣١٩٠٨ Devanagari १३१९०८ Bengali ১৩১৯০৮ Tamil ௧௩௧௯௦௮ Thai ๑๓๑๙๐๘ Tibetan ༡༣༡༩༠༨ Khmer ១៣១៩០៨ Lao ໑໓໑໙໐໘ Burmese ၁၃၁၉၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131908, here are decompositions:

  • 17 + 131891 = 131908
  • 47 + 131861 = 131908
  • 59 + 131849 = 131908
  • 71 + 131837 = 131908
  • 131 + 131777 = 131908
  • 137 + 131771 = 131908
  • 149 + 131759 = 131908
  • 197 + 131711 = 131908

Showing the first eight; more decompositions exist.

Unicode codepoint
𠍄
CJK Unified Ideograph-20344
U+20344
Other letter (Lo)

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

Hex color
#020344
RGB(2, 3, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.68.

Address
0.2.3.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.68

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 131,908 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 131908 first appears in π at position 445,479 of the decimal expansion (the 445,479ordinal-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