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The number 24713

24713 is a composite number with 4 divisors. Its prime factorisation is 13 × 1901. Divisors (4): 1, 13, 1901, 24713.

Number

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How to work it out

  1. 1

    What is special about 24713: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 1901, the product of two primes.

  2. 2

    24713 is composite. Its prime factorisation is

    24713=13×190124713 = 13 \times 1901
  3. 3

    The divisors add up to 26628; without 24713 itself that is 1915, so 24713 is deficient (1915 is less than 24713). Euler's totient φ(24713) = 22800 numbers up to 24713 share no factor with it.

  4. 4

    The digits of 24713 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.

LaTeX source of the formulas on this page
\[ 24713 = 13 \times 1901 \]

24713 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors26628
Euler totient φ(n)22800
Square610732369
Cube15093029035097
Square root157.203690
Digit sum / digital root17 / 8
Collatz steps to 195
Scientific notation2.4713 × 10410^{4}

24713 in other forms

FormValue
In wordstwenty-four thousand seven hundred and thirteen
Binary (base 2)110000010001001
Octal (base 8)60211
Hexadecimal (base 16)6089
Base 31020220022
As time24713 seconds = 6 h 51 min 53 s

Is 24713 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 8)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24713 a prime number?

No. 24713 = 13 × 1901, so it is divisible by 13.

What are the factors of 24713?

1, 13, 1901, 24713.

What is 24713 in binary?

110000010001001 (hexadecimal 6089, octal 60211).

What is the square root of 24713?

About 157.2037.

Is 24713 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 24713?

24713 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 1901, the product of two primes.

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