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131,933

131,933 is a prime, 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.).

131,933 (one hundred thirty-one thousand nine hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2035D.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
243
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
339,131
Recamán's sequence
a(228,506) = 131,933
Square (n²)
17,406,316,489
Cube (n³)
2,296,467,553,343,237
Divisor count
2
σ(n) — sum of divisors
131,934
φ(n) — Euler's totient
131,932

Primality

131,933 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131933
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,933)
1 × 131933
First multiples
131,933 · 263,866 (double) · 395,799 · 527,732 · 659,665 · 791,598 · 923,531 · 1,055,464 · 1,187,397 · 1,319,330

Sums & aliquot sequence

As a sum of two squares: 133² + 338²
As consecutive integers: 65,966 + 65,967

Continued fraction of √n

√131,933 = [363; (4, 2, 2, 1, 55, 5, 1, 5, 3, 1, 2, 3, 1, 14, 1, 2, 5, 1, 1, 13, 2, 2, 1, 17, …)]

Representations

In words
one hundred thirty-one thousand nine hundred thirty-three
Ordinal
131933rd
Binary
100000001101011101
Octal
401535
Hexadecimal
0x2035D
Base64
AgNd
One's complement
4,294,835,362 (32-bit)
Scientific notation
1.31933 × 10⁵
As a duration
131,933 s = 1 day, 12 hours, 38 minutes, 53 seconds
In other bases
ternary (3) 20200222102
quaternary (4) 200031131
quinary (5) 13210213
senary (6) 2454445
septenary (7) 1056434
nonary (9) 220872
undecimal (11) 9013a
duodecimal (12) 64425
tridecimal (13) 48089
tetradecimal (14) 3611b
pentadecimal (15) 29158

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡλγʹ
Mayan (base 20)
𝋰·𝋩·𝋰·𝋭
Chinese
一十三萬一千九百三十三
Chinese (financial)
壹拾參萬壹仟玖佰參拾參
In other modern scripts
Eastern Arabic ١٣١٩٣٣ Devanagari १३१९३३ Bengali ১৩১৯৩৩ Tamil ௧௩௧௯௩௩ Thai ๑๓๑๙๓๓ Tibetan ༡༣༡༩༣༣ Khmer ១៣១៩៣៣ Lao ໑໓໑໙໓໓ Burmese ၁၃၁၉၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131927, sexy with 131939.

Unicode codepoint
𠍝
CJK Unified Ideograph-2035D
U+2035D
Other letter (Lo)

UTF-8 encoding: F0 A0 8D 9D (4 bytes).

Hex color
#02035D
RGB(2, 3, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.93.

Address
0.2.3.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.93

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 131,933 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.