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131,960

131,960 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.).

131,960 (one hundred thirty-one thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,299. Its proper divisors sum to 165,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20378.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
69,131
Recamán's sequence
a(228,452) = 131,960
Square (n²)
17,413,441,600
Cube (n³)
2,297,877,753,536,000
Divisor count
16
σ(n) — sum of divisors
297,000
φ(n) — Euler's totient
52,768
Sum of prime factors
3,310

Primality

Prime factorization: 2 3 × 5 × 3299

Nearest primes: 131,959 (−1) · 131,969 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3299 · 6598 · 13196 · 16495 · 26392 · 32990 · 65980 (half) · 131960
Aliquot sum (sum of proper divisors): 165,040
Factor pairs (a × b = 131,960)
1 × 131960
2 × 65980
4 × 32990
5 × 26392
8 × 16495
10 × 13196
20 × 6598
40 × 3299
First multiples
131,960 · 263,920 (double) · 395,880 · 527,840 · 659,800 · 791,760 · 923,720 · 1,055,680 · 1,187,640 · 1,319,600

Sums & aliquot sequence

As consecutive integers: 26,390 + 26,391 + 26,392 + 26,393 + 26,394 8,240 + 8,241 + … + 8,255 1,610 + 1,611 + … + 1,689
Aliquot sequence: 131,960 165,040 218,864 205,216 247,250 246,958 123,482 68,218 38,630 30,922 15,464 13,546 8,378 4,582 2,618 2,566 1,286 — unresolved within range

Continued fraction of √n

√131,960 = [363; (3, 1, 4, 16, 3, 3, 6, 1, 2, 5, 1, 1, 1, 8, 1, 10, 3, 1, 1, 3, 1, 2, 1, 2, …)]

Representations

In words
one hundred thirty-one thousand nine hundred sixty
Ordinal
131960th
Binary
100000001101111000
Octal
401570
Hexadecimal
0x20378
Base64
AgN4
One's complement
4,294,835,335 (32-bit)
Scientific notation
1.3196 × 10⁵
As a duration
131,960 s = 1 day, 12 hours, 39 minutes, 20 seconds
In other bases
ternary (3) 20201000102
quaternary (4) 200031320
quinary (5) 13210320
senary (6) 2454532
septenary (7) 1056503
nonary (9) 221012
undecimal (11) 90164
duodecimal (12) 64448
tridecimal (13) 480aa
tetradecimal (14) 3613a
pentadecimal (15) 29175

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαϡξʹ
Mayan (base 20)
𝋰·𝋩·𝋲·𝋠
Chinese
一十三萬一千九百六十
Chinese (financial)
壹拾參萬壹仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٣١٩٦٠ Devanagari १३१९६० Bengali ১৩১৯৬০ Tamil ௧௩௧௯௬௦ Thai ๑๓๑๙๖๐ Tibetan ༡༣༡༩༦༠ Khmer ១៣១៩៦០ Lao ໑໓໑໙໖໐ Burmese ၁၃၁၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131960, here are decompositions:

  • 13 + 131947 = 131960
  • 19 + 131941 = 131960
  • 61 + 131899 = 131960
  • 67 + 131893 = 131960
  • 163 + 131797 = 131960
  • 181 + 131779 = 131960
  • 211 + 131749 = 131960
  • 229 + 131731 = 131960

Showing the first eight; more decompositions exist.

Unicode codepoint
𠍸
CJK Unified Ideograph-20378
U+20378
Other letter (Lo)

UTF-8 encoding: F0 A0 8D B8 (4 bytes).

Hex color
#020378
RGB(2, 3, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.120.

Address
0.2.3.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.120

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 131,960 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 131960 first appears in π at position 114,642 of the decimal expansion (the 114,642ordinal-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

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