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131,967

131,967 is a composite number, odd.

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.).

131,967 (one hundred thirty-one thousand nine hundred sixty-seven) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3² × 11 × 31 × 43. Written other ways, in hexadecimal, 0x2037F.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
1,134
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
769,131
Recamán's sequence
a(228,438) = 131,967
Square (n²)
17,415,289,089
Cube (n³)
2,298,243,455,208,063
Divisor count
24
σ(n) — sum of divisors
219,648
φ(n) — Euler's totient
75,600
Sum of prime factors
91

Primality

Prime factorization: 3 2 × 11 × 31 × 43

Nearest primes: 131,959 (−8) · 131,969 (+2)

Divisors & multiples

All divisors (24)
1 · 3 · 9 · 11 · 31 · 33 · 43 · 93 · 99 · 129 · 279 · 341 · 387 · 473 · 1023 · 1333 · 1419 · 3069 · 3999 · 4257 · 11997 · 14663 · 43989 · 131967
Aliquot sum (sum of proper divisors): 87,681
Factor pairs (a × b = 131,967)
1 × 131967
3 × 43989
9 × 14663
11 × 11997
31 × 4257
33 × 3999
43 × 3069
93 × 1419
99 × 1333
129 × 1023
279 × 473
341 × 387
First multiples
131,967 · 263,934 (double) · 395,901 · 527,868 · 659,835 · 791,802 · 923,769 · 1,055,736 · 1,187,703 · 1,319,670

Sums & aliquot sequence

As consecutive integers: 65,983 + 65,984 43,988 + 43,989 + 43,990 21,992 + 21,993 + 21,994 + 21,995 + 21,996 + 21,997 14,659 + 14,660 + … + 14,667
Aliquot sequence: 131,967 87,681 39,903 14,625 13,767 6,057 2,705 547 1 0 — terminates at zero

Continued fraction of √n

√131,967 = [363; (3, 1, 2, 80, 2, 1, 3, 726)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred sixty-seven
Ordinal
131967th
Binary
100000001101111111
Octal
401577
Hexadecimal
0x2037F
Base64
AgN/
One's complement
4,294,835,328 (32-bit)
Scientific notation
1.31967 × 10⁵
As a duration
131,967 s = 1 day, 12 hours, 39 minutes, 27 seconds
In other bases
ternary (3) 20201000200
quaternary (4) 200031333
quinary (5) 13210332
senary (6) 2454543
septenary (7) 1056513
nonary (9) 221020
undecimal (11) 90170
duodecimal (12) 64453
tridecimal (13) 480b4
tetradecimal (14) 36143
pentadecimal (15) 2917c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡξζʹ
Mayan (base 20)
𝋰·𝋩·𝋲·𝋧
Chinese
一十三萬一千九百六十七
Chinese (financial)
壹拾參萬壹仟玖佰陸拾柒
In other modern scripts
Eastern Arabic ١٣١٩٦٧ Devanagari १३१९६७ Bengali ১৩১৯৬৭ Tamil ௧௩௧௯௬௭ Thai ๑๓๑๙๖๗ Tibetan ༡༣༡༩༦༧ Khmer ១៣១៩៦៧ Lao ໑໓໑໙໖໗ Burmese ၁၃၁၉၆၇

Also seen as

Unicode codepoint
𠍿
CJK Unified Ideograph-2037F
U+2037F
Other letter (Lo)

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

Hex color
#02037F
RGB(2, 3, 127)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.127.

Address
0.2.3.127
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.127

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 131,967 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 131967 first appears in π at position 441,342 of the decimal expansion (the 441,342ordinal-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

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