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131,904

131,904 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.).

131,904 (one hundred thirty-one thousand nine hundred four) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 229. Its proper divisors sum to 247,826, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20340.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
409,131
Recamán's sequence
a(228,564) = 131,904
Square (n²)
17,398,665,216
Cube (n³)
2,294,953,536,651,264
Divisor count
42
σ(n) — sum of divisors
379,730
φ(n) — Euler's totient
43,776
Sum of prime factors
247

Primality

Prime factorization: 2 6 × 3 2 × 229

Nearest primes: 131,899 (−5) · 131,909 (+5)

Divisors & multiples

All divisors (42)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 144 · 192 · 229 · 288 · 458 · 576 · 687 · 916 · 1374 · 1832 · 2061 · 2748 · 3664 · 4122 · 5496 · 7328 · 8244 · 10992 · 14656 · 16488 · 21984 · 32976 · 43968 · 65952 (half) · 131904
Aliquot sum (sum of proper divisors): 247,826
Factor pairs (a × b = 131,904)
1 × 131904
2 × 65952
3 × 43968
4 × 32976
6 × 21984
8 × 16488
9 × 14656
12 × 10992
16 × 8244
18 × 7328
24 × 5496
32 × 4122
36 × 3664
48 × 2748
64 × 2061
72 × 1832
96 × 1374
144 × 916
192 × 687
229 × 576
288 × 458
First multiples
131,904 · 263,808 (double) · 395,712 · 527,616 · 659,520 · 791,424 · 923,328 · 1,055,232 · 1,187,136 · 1,319,040

Sums & aliquot sequence

As a sum of two squares: 48² + 360²
As consecutive integers: 43,967 + 43,968 + 43,969 14,652 + 14,653 + … + 14,660 967 + 968 + … + 1,094 462 + 463 + … + 690
Aliquot sequence: 131,904 247,826 158,470 168,122 84,064 88,304 82,816 82,424 72,136 66,104 57,856 58,766 29,386 21,014 17,386 8,696 7,624 — unresolved within range

Continued fraction of √n

√131,904 = [363; (5, 2, 1, 1, 1, 3, 7, 2, 1, 2, 3, 181, 3, 2, 1, 2, 7, 3, 1, 1, 1, 2, 5, 726)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred four
Ordinal
131904th
Binary
100000001101000000
Octal
401500
Hexadecimal
0x20340
Base64
AgNA
One's complement
4,294,835,391 (32-bit)
Scientific notation
1.31904 × 10⁵
As a duration
131,904 s = 1 day, 12 hours, 38 minutes, 24 seconds
In other bases
ternary (3) 20200221100
quaternary (4) 200031000
quinary (5) 13210104
senary (6) 2454400
septenary (7) 1056363
nonary (9) 220840
undecimal (11) 90113
duodecimal (12) 64400
tridecimal (13) 48066
tetradecimal (14) 360da
pentadecimal (15) 29139

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡδʹ
Mayan (base 20)
𝋰·𝋩·𝋯·𝋤
Chinese
一十三萬一千九百零四
Chinese (financial)
壹拾參萬壹仟玖佰零肆
In other modern scripts
Eastern Arabic ١٣١٩٠٤ Devanagari १३१९०४ Bengali ১৩১৯০৪ Tamil ௧௩௧௯௦௪ Thai ๑๓๑๙๐๔ Tibetan ༡༣༡༩༠༤ Khmer ១៣១៩០៤ Lao ໑໓໑໙໐໔ Burmese ၁၃၁၉၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131904, here are decompositions:

  • 5 + 131899 = 131904
  • 11 + 131893 = 131904
  • 13 + 131891 = 131904
  • 43 + 131861 = 131904
  • 67 + 131837 = 131904
  • 107 + 131797 = 131904
  • 127 + 131777 = 131904
  • 173 + 131731 = 131904

Showing the first eight; more decompositions exist.

Unicode codepoint
𠍀
CJK Unified Ideograph-20340
U+20340
Other letter (Lo)

UTF-8 encoding: F0 A0 8D 80 (4 bytes).

Hex color
#020340
RGB(2, 3, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.64.

Address
0.2.3.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.64

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 131,904 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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