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131,980

131,980 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.).

131,980 (one hundred thirty-one thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,599. Its proper divisors sum to 145,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2038C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful 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
89,131
Recamán's sequence
a(228,412) = 131,980
Square (n²)
17,418,720,400
Cube (n³)
2,298,922,718,392,000
Divisor count
12
σ(n) — sum of divisors
277,200
φ(n) — Euler's totient
52,784
Sum of prime factors
6,608

Primality

Prime factorization: 2 2 × 5 × 6599

Nearest primes: 131,969 (−11) · 132,001 (+21)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6599 · 13198 · 26396 · 32995 · 65990 (half) · 131980
Aliquot sum (sum of proper divisors): 145,220
Factor pairs (a × b = 131,980)
1 × 131980
2 × 65990
4 × 32995
5 × 26396
10 × 13198
20 × 6599
First multiples
131,980 · 263,960 (double) · 395,940 · 527,920 · 659,900 · 791,880 · 923,860 · 1,055,840 · 1,187,820 · 1,319,800

Sums & aliquot sequence

As consecutive integers: 26,394 + 26,395 + 26,396 + 26,397 + 26,398 16,494 + 16,495 + … + 16,501 3,280 + 3,281 + … + 3,319
Aliquot sequence: 131,980 145,220 167,764 125,830 100,682 50,344 64,856 70,804 57,324 84,804 119,484 182,636 136,984 119,876 99,196 74,404 76,796 — unresolved within range

Continued fraction of √n

√131,980 = [363; (3, 2, 3, 1, 4, 1, 1, 3, 6, 3, 1, 3, 1, 3, 18, 2, 1, 2, 1, 2, 4, 4, 1, 12, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred eighty
Ordinal
131980th
Binary
100000001110001100
Octal
401614
Hexadecimal
0x2038C
Base64
AgOM
One's complement
4,294,835,315 (32-bit)
Scientific notation
1.3198 × 10⁵
As a duration
131,980 s = 1 day, 12 hours, 39 minutes, 40 seconds
In other bases
ternary (3) 20201001011
quaternary (4) 200032030
quinary (5) 13210410
senary (6) 2455004
septenary (7) 1056532
nonary (9) 221034
undecimal (11) 90182
duodecimal (12) 64464
tridecimal (13) 480c4
tetradecimal (14) 36152
pentadecimal (15) 2918a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαϡπʹ
Mayan (base 20)
𝋰·𝋩·𝋳·𝋠
Chinese
一十三萬一千九百八十
Chinese (financial)
壹拾參萬壹仟玖佰捌拾
In other modern scripts
Eastern Arabic ١٣١٩٨٠ Devanagari १३१९८० Bengali ১৩১৯৮০ Tamil ௧௩௧௯௮௦ Thai ๑๓๑๙๘๐ Tibetan ༡༣༡༩༨༠ Khmer ១៣១៩៨០ Lao ໑໓໑໙໘໐ Burmese ၁၃၁၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131980, here are decompositions:

  • 11 + 131969 = 131980
  • 41 + 131939 = 131980
  • 47 + 131933 = 131980
  • 53 + 131927 = 131980
  • 71 + 131909 = 131980
  • 89 + 131891 = 131980
  • 131 + 131849 = 131980
  • 197 + 131783 = 131980

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎌
CJK Unified Ideograph-2038C
U+2038C
Other letter (Lo)

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

Hex color
#02038C
RGB(2, 3, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.140.

Address
0.2.3.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.140

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 131,980 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 131980 first appears in π at position 768,264 of the decimal expansion (the 768,264ordinal-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