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The number 10231

10231 is a composite number with 4 divisors. Its prime factorisation is 13 × 787. Divisors (4): 1, 13, 787, 10231.

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How to work it out

  1. 1

    What is special about 10231: a semiprime: 13 × 787, the product of two primes.

  2. 2

    10231 is composite. Its prime factorisation is

    10231=13×78710231 = 13 \times 787
  3. 3

    The divisors add up to 11032; without 10231 itself that is 801, so 10231 is deficient (801 is less than 10231). Euler's totient φ(10231) = 9432 numbers up to 10231 share no factor with it.

  4. 4

    The digits of 10231 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 10231 = 13 \times 787 \]

10231 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors11032
Euler totient φ(n)9432
Square104673361
Cube1070913156391
Square root101.148406
Digit sum / digital root7 / 7
Collatz steps to 160
Scientific notation1.0231 × 10410^{4}

10231 in other forms

FormValue
In wordsten thousand two hundred and thirty-one
Binary (base 2)10011111110111
Octal (base 8)23767
Hexadecimal (base 16)27F7
Base 3112000221
As time10231 seconds = 2 h 50 min 31 s

Is 10231 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 4)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 7)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 1)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 10231 a prime number?

No. 10231 = 13 × 787, so it is divisible by 13.

What are the factors of 10231?

1, 13, 787, 10231.

What is 10231 in binary?

10011111110111 (hexadecimal 27F7, octal 23767).

What is the square root of 10231?

About 101.1484.

Is 10231 divisible by 3?

No. Its digits add up to 7, which is not a multiple of 3.

What is special about the number 10231?

10231 is a semiprime: 13 × 787, the product of two primes.

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    10231: is it prime? Factors, square root, binary, Roman numeral | WordGPT