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The number 83131

83131 is a composite number with 4 divisors. Its prime factorisation is 59 × 1409. Divisors (4): 1, 59, 1409, 83131.

Number

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How to work it out

  1. 1

    What is special about 83131: a semiprime: 59 × 1409, the product of two primes.

  2. 2

    83131 is composite. Its prime factorisation is

    83131=59×140983131 = 59 \times 1409
  3. 3

    The divisors add up to 84600; without 83131 itself that is 1469, so 83131 is deficient (1469 is less than 83131). Euler's totient φ(83131) = 81664 numbers up to 83131 share no factor with it.

  4. 4

    The digits of 83131 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 83131 = 59 \times 1409 \]

83131 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors84600
Euler totient φ(n)81664
Square6910763161
Cube574498652337091
Square root288.324470
Digit sum / digital root16 / 7
Collatz steps to 176
Scientific notation8.3131 × 10410^{4}

83131 in other forms

FormValue
In wordseighty-three thousand one hundred and thirty-one
Binary (base 2)10100010010111011
Octal (base 8)242273
Hexadecimal (base 16)144BB
Base 311020000221
As time83131 seconds = 23 h 5 min 31 s

Is 83131 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 83131 a prime number?

No. 83131 = 59 × 1409, so it is divisible by 59.

What are the factors of 83131?

1, 59, 1409, 83131.

What is 83131 in binary?

10100010010111011 (hexadecimal 144BB, octal 242273).

What is the square root of 83131?

About 288.3245.

Is 83131 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 83131?

83131 is a semiprime: 59 × 1409, the product of two primes.

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    83131: is it prime? Factors, square root, binary, Roman numeral | WordGPT