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The number 10081

10081 is a composite number with 4 divisors. Its prime factorisation is 17 × 593. Divisors (4): 1, 17, 593, 10081.

Number

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How to work it out

  1. 1

    What is special about 10081: a semiprime: 17 × 593, the product of two primes.

  2. 2

    10081 is composite. Its prime factorisation is

    10081=17×59310081 = 17 \times 593
  3. 3

    The divisors add up to 10692; without 10081 itself that is 611, so 10081 is deficient (611 is less than 10081). Euler's totient φ(10081) = 9472 numbers up to 10081 share no factor with it.

  4. 4

    The digits of 10081 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 10081 = 17 \times 593 \]

10081 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors10692
Euler totient φ(n)9472
Square101626561
Cube1024497361441
Square root100.404183
Digit sum / digital root10 / 1
Collatz steps to 186
Scientific notation1.0081 × 10410^{4}

10081 in other forms

FormValue
In wordsten thousand and eighty-one
Binary (base 2)10011101100001
Octal (base 8)23541
Hexadecimal (base 16)2761
Base 3111211101
As time10081 seconds = 2 h 48 min 1 s

Is 10081 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 1)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 5)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 10081 a prime number?

No. 10081 = 17 × 593, so it is divisible by 17.

What are the factors of 10081?

1, 17, 593, 10081.

What is 10081 in binary?

10011101100001 (hexadecimal 2761, octal 23541).

What is the square root of 10081?

About 100.4042.

Is 10081 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 10081?

10081 is a semiprime: 17 × 593, the product of two primes.

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    10081: is it prime? Factors, square root, binary, Roman numeral | WordGPT