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The number 31681

31681 is a composite number with 4 divisors. Its prime factorisation is 13 × 2437. Divisors (4): 1, 13, 2437, 31681.

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How to work it out

  1. 1

    What is special about 31681: a semiprime: 13 × 2437, the product of two primes.

  2. 2

    31681 is composite. Its prime factorisation is

    31681=13×243731681 = 13 \times 2437
  3. 3

    The divisors add up to 34132; without 31681 itself that is 2451, so 31681 is deficient (2451 is less than 31681). Euler's totient φ(31681) = 29232 numbers up to 31681 share no factor with it.

  4. 4

    The digits of 31681 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31681 = 13 \times 2437 \]

31681 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors34132
Euler totient φ(n)29232
Square1003685761
Cube31797768594241
Square root177.991573
Digit sum / digital root19 / 1
Collatz steps to 1103
Scientific notation3.1681 × 10410^{4}

31681 in other forms

FormValue
In wordsthirty-one thousand six hundred and eighty-one
Binary (base 2)111101111000001
Octal (base 8)75701
Hexadecimal (base 16)7BC1
Base 31121110101
As time31681 seconds = 8 h 48 min 1 s

Is 31681 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 1)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31681 a prime number?

No. 31681 = 13 × 2437, so it is divisible by 13.

What are the factors of 31681?

1, 13, 2437, 31681.

What is 31681 in binary?

111101111000001 (hexadecimal 7BC1, octal 75701).

What is the square root of 31681?

About 177.9916.

Is 31681 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 31681?

31681 is a semiprime: 13 × 2437, the product of two primes.

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    31681: is it prime? Factors, square root, binary, Roman numeral | WordGPT