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131,976

131,976 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.).

131,976 (one hundred thirty-one thousand nine hundred seventy-six) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 13 × 47. Its proper divisors sum to 271,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20388.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,134
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
679,131
Recamán's sequence
a(228,420) = 131,976
Square (n²)
17,417,664,576
Cube (n³)
2,298,713,700,082,176
Divisor count
64
σ(n) — sum of divisors
403,200
φ(n) — Euler's totient
39,744
Sum of prime factors
75

Primality

Prime factorization: 2 3 × 3 3 × 13 × 47

Nearest primes: 131,969 (−7) · 132,001 (+25)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 27 · 36 · 39 · 47 · 52 · 54 · 72 · 78 · 94 · 104 · 108 · 117 · 141 · 156 · 188 · 216 · 234 · 282 · 312 · 351 · 376 · 423 · 468 · 564 · 611 · 702 · 846 · 936 · 1128 · 1222 · 1269 · 1404 · 1692 · 1833 · 2444 · 2538 · 2808 · 3384 · 3666 · 4888 · 5076 · 5499 · 7332 · 10152 · 10998 · 14664 · 16497 · 21996 · 32994 · 43992 · 65988 (half) · 131976
Aliquot sum (sum of proper divisors): 271,224
Factor pairs (a × b = 131,976)
1 × 131976
2 × 65988
3 × 43992
4 × 32994
6 × 21996
8 × 16497
9 × 14664
12 × 10998
13 × 10152
18 × 7332
24 × 5499
26 × 5076
27 × 4888
36 × 3666
39 × 3384
47 × 2808
52 × 2538
54 × 2444
72 × 1833
78 × 1692
94 × 1404
104 × 1269
108 × 1222
117 × 1128
141 × 936
156 × 846
188 × 702
216 × 611
234 × 564
282 × 468
312 × 423
351 × 376
First multiples
131,976 · 263,952 (double) · 395,928 · 527,904 · 659,880 · 791,856 · 923,832 · 1,055,808 · 1,187,784 · 1,319,760

Sums & aliquot sequence

As consecutive integers: 43,991 + 43,992 + 43,993 14,660 + 14,661 + … + 14,668 10,146 + 10,147 + … + 10,158 8,241 + 8,242 + … + 8,256
Aliquot sequence: 131,976 271,224 463,536 950,064 1,504,392 2,256,648 3,717,912 6,422,568 10,451,352 15,756,648 23,635,032 40,167,048 60,250,632 107,581,368 161,372,112 308,121,648 529,253,328 — unresolved within range

Continued fraction of √n

√131,976 = [363; (3, 1, 1, 28, 2, 28, 1, 1, 3, 726)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred seventy-six
Ordinal
131976th
Binary
100000001110001000
Octal
401610
Hexadecimal
0x20388
Base64
AgOI
One's complement
4,294,835,319 (32-bit)
Scientific notation
1.31976 × 10⁵
As a duration
131,976 s = 1 day, 12 hours, 39 minutes, 36 seconds
In other bases
ternary (3) 20201001000
quaternary (4) 200032020
quinary (5) 13210401
senary (6) 2455000
septenary (7) 1056525
nonary (9) 221030
undecimal (11) 90179
duodecimal (12) 64460
tridecimal (13) 480c0
tetradecimal (14) 3614c
pentadecimal (15) 29186

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡοϛʹ
Mayan (base 20)
𝋰·𝋩·𝋲·𝋰
Chinese
一十三萬一千九百七十六
Chinese (financial)
壹拾參萬壹仟玖佰柒拾陸
In other modern scripts
Eastern Arabic ١٣١٩٧٦ Devanagari १३१९७६ Bengali ১৩১৯৭৬ Tamil ௧௩௧௯௭௬ Thai ๑๓๑๙๗๖ Tibetan ༡༣༡༩༧༦ Khmer ១៣១៩៧៦ Lao ໑໓໑໙໗໖ Burmese ၁၃၁၉၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131976, here are decompositions:

  • 7 + 131969 = 131976
  • 17 + 131959 = 131976
  • 29 + 131947 = 131976
  • 37 + 131939 = 131976
  • 43 + 131933 = 131976
  • 67 + 131909 = 131976
  • 83 + 131893 = 131976
  • 127 + 131849 = 131976

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎈
CJK Unified Ideograph-20388
U+20388
Other letter (Lo)

UTF-8 encoding: F0 A0 8E 88 (4 bytes).

Hex color
#020388
RGB(2, 3, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.136.

Address
0.2.3.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.136

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 131,976 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 131976 first appears in π at position 412,083 of the decimal expansion (the 412,083ordinal-suffix:rd 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

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