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131,660

131,660 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.).

131,660 (one hundred thirty-one thousand six hundred sixty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 29 × 227. Its proper divisors sum to 155,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2024C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
66,131
Recamán's sequence
a(229,052) = 131,660
Square (n²)
17,334,355,600
Cube (n³)
2,282,241,258,296,000
Divisor count
24
σ(n) — sum of divisors
287,280
φ(n) — Euler's totient
50,624
Sum of prime factors
265

Primality

Prime factorization: 2 2 × 5 × 29 × 227

Nearest primes: 131,641 (−19) · 131,671 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 29 · 58 · 116 · 145 · 227 · 290 · 454 · 580 · 908 · 1135 · 2270 · 4540 · 6583 · 13166 · 26332 · 32915 · 65830 (half) · 131660
Aliquot sum (sum of proper divisors): 155,620
Factor pairs (a × b = 131,660)
1 × 131660
2 × 65830
4 × 32915
5 × 26332
10 × 13166
20 × 6583
29 × 4540
58 × 2270
116 × 1135
145 × 908
227 × 580
290 × 454
First multiples
131,660 · 263,320 (double) · 394,980 · 526,640 · 658,300 · 789,960 · 921,620 · 1,053,280 · 1,184,940 · 1,316,600

Sums & aliquot sequence

As consecutive integers: 26,330 + 26,331 + 26,332 + 26,333 + 26,334 16,454 + 16,455 + … + 16,461 4,526 + 4,527 + … + 4,554 3,272 + 3,273 + … + 3,311
Aliquot sequence: 131,660 155,620 183,068 137,308 102,988 77,248 87,344 86,752 84,104 73,606 52,394 35,734 21,074 11,434 5,720 9,400 12,920 — unresolved within range

Continued fraction of √n

√131,660 = [362; (1, 5, 1, 1, 1, 14, 6, 4, 7, 1, 2, 1, 3, 3, 4, 1, 7, 6, 7, 1, 4, 3, 3, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand six hundred sixty
Ordinal
131660th
Binary
100000001001001100
Octal
401114
Hexadecimal
0x2024C
Base64
AgJM
One's complement
4,294,835,635 (32-bit)
Scientific notation
1.3166 × 10⁵
As a duration
131,660 s = 1 day, 12 hours, 34 minutes, 20 seconds
In other bases
ternary (3) 20200121022
quaternary (4) 200021030
quinary (5) 13203120
senary (6) 2453312
septenary (7) 1055564
nonary (9) 220538
undecimal (11) 8aa11
duodecimal (12) 64238
tridecimal (13) 47c09
tetradecimal (14) 35da4
pentadecimal (15) 29025

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαχξʹ
Mayan (base 20)
𝋰·𝋩·𝋣·𝋠
Chinese
一十三萬一千六百六十
Chinese (financial)
壹拾參萬壹仟陸佰陸拾
In other modern scripts
Eastern Arabic ١٣١٦٦٠ Devanagari १३१६६० Bengali ১৩১৬৬০ Tamil ௧௩௧௬௬௦ Thai ๑๓๑๖๖๐ Tibetan ༡༣༡༦༦༠ Khmer ១៣១៦៦០ Lao ໑໓໑໖໖໐ Burmese ၁၃၁၆၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131660, here are decompositions:

  • 19 + 131641 = 131660
  • 43 + 131617 = 131660
  • 79 + 131581 = 131660
  • 163 + 131497 = 131660
  • 181 + 131479 = 131660
  • 211 + 131449 = 131660
  • 223 + 131437 = 131660
  • 229 + 131431 = 131660

Showing the first eight; more decompositions exist.

Unicode codepoint
𠉌
CJK Unified Ideograph-2024C
U+2024C
Other letter (Lo)

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

Hex color
#02024C
RGB(2, 2, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.76.

Address
0.2.2.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.76

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 131,660 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 131660 first appears in π at position 282,078 of the decimal expansion (the 282,078ordinal-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.