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The number 23713

23713 is a composite number with 4 divisors. Its prime factorisation is 23 × 1031. Divisors (4): 1, 23, 1031, 23713.

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How to work it out

  1. 1

    What is special about 23713: a semiprime: 23 × 1031, the product of two primes.

  2. 2

    23713 is composite. Its prime factorisation is

    23713=23×103123713 = 23 \times 1031
  3. 3

    The divisors add up to 24768; without 23713 itself that is 1055, so 23713 is deficient (1055 is less than 23713). Euler's totient φ(23713) = 22660 numbers up to 23713 share no factor with it.

  4. 4

    The digits of 23713 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 175 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23713 = 23 \times 1031 \]

23713 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors24768
Euler totient φ(n)22660
Square562306369
Cube13333970928097
Square root153.990259
Digit sum / digital root16 / 7
Collatz steps to 1175
Scientific notation2.3713 × 10410^{4}

23713 in other forms

FormValue
In wordstwenty-three thousand seven hundred and thirteen
Binary (base 2)101110010100001
Octal (base 8)56241
Hexadecimal (base 16)5CA1
Base 31012112021
As time23713 seconds = 6 h 35 min 13 s

Is 23713 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 3)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 1)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 23713 a prime number?

No. 23713 = 23 × 1031, so it is divisible by 23.

What are the factors of 23713?

1, 23, 1031, 23713.

What is 23713 in binary?

101110010100001 (hexadecimal 5CA1, octal 56241).

What is the square root of 23713?

About 153.9903.

Is 23713 divisible by 3?

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

What is special about the number 23713?

23713 is a semiprime: 23 × 1031, the product of two primes.

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    23713: is it prime? Factors, square root, binary, Roman numeral | WordGPT