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131,680

131,680 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.).

131,680 (one hundred thirty-one thousand six hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 823. Its proper divisors sum to 179,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20260.

Abundant Number Arithmetic Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
86,131
Recamán's sequence
a(229,012) = 131,680
Square (n²)
17,339,622,400
Cube (n³)
2,283,281,477,632,000
Divisor count
24
σ(n) — sum of divisors
311,472
φ(n) — Euler's totient
52,608
Sum of prime factors
838

Primality

Prime factorization: 2 5 × 5 × 823

Nearest primes: 131,671 (−9) · 131,687 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 823 · 1646 · 3292 · 4115 · 6584 · 8230 · 13168 · 16460 · 26336 · 32920 · 65840 (half) · 131680
Aliquot sum (sum of proper divisors): 179,792
Factor pairs (a × b = 131,680)
1 × 131680
2 × 65840
4 × 32920
5 × 26336
8 × 16460
10 × 13168
16 × 8230
20 × 6584
32 × 4115
40 × 3292
80 × 1646
160 × 823
First multiples
131,680 · 263,360 (double) · 395,040 · 526,720 · 658,400 · 790,080 · 921,760 · 1,053,440 · 1,185,120 · 1,316,800

Sums & aliquot sequence

As consecutive integers: 26,334 + 26,335 + 26,336 + 26,337 + 26,338 2,026 + 2,027 + … + 2,089 252 + 253 + … + 571
Aliquot sequence: 131,680 179,792 189,604 146,060 168,100 205,791 68,601 29,959 1 0 — terminates at zero

Continued fraction of √n

√131,680 = [362; (1, 7, 6, 2, 2, 2, 1, 1, 1, 1, 6, 1, 17, 1, 2, 1, 5, 1, 3, 1, 4, 80, 2, 3, …)]

Representations

In words
one hundred thirty-one thousand six hundred eighty
Ordinal
131680th
Binary
100000001001100000
Octal
401140
Hexadecimal
0x20260
Base64
AgJg
One's complement
4,294,835,615 (32-bit)
Scientific notation
1.3168 × 10⁵
As a duration
131,680 s = 1 day, 12 hours, 34 minutes, 40 seconds
In other bases
ternary (3) 20200122001
quaternary (4) 200021200
quinary (5) 13203210
senary (6) 2453344
septenary (7) 1055623
nonary (9) 220561
undecimal (11) 8aa2a
duodecimal (12) 64254
tridecimal (13) 47c23
tetradecimal (14) 35dba
pentadecimal (15) 2903a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαχπʹ
Mayan (base 20)
𝋰·𝋩·𝋤·𝋠
Chinese
一十三萬一千六百八十
Chinese (financial)
壹拾參萬壹仟陸佰捌拾
In other modern scripts
Eastern Arabic ١٣١٦٨٠ Devanagari १३१६८० Bengali ১৩১৬৮০ Tamil ௧௩௧௬௮௦ Thai ๑๓๑๖๘๐ Tibetan ༡༣༡༦༨༠ Khmer ១៣១៦៨០ Lao ໑໓໑໖໘໐ Burmese ၁၃၁၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131680, here are decompositions:

  • 41 + 131639 = 131680
  • 53 + 131627 = 131680
  • 89 + 131591 = 131680
  • 137 + 131543 = 131680
  • 173 + 131507 = 131680
  • 179 + 131501 = 131680
  • 191 + 131489 = 131680
  • 233 + 131447 = 131680

Showing the first eight; more decompositions exist.

Unicode codepoint
𠉠
CJK Unified Ideograph-20260
U+20260
Other letter (Lo)

UTF-8 encoding: F0 A0 89 A0 (4 bytes).

Hex color
#020260
RGB(2, 2, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.96.

Address
0.2.2.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.96

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 131,680 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 131680 first appears in π at position 89,782 of the decimal expansion (the 89,782ordinal-suffix:nd 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