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The number 52713

52713 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 5857. Divisors (6): 1, 3, 9, 5857, 17571, 52713.

Number

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How to work it out

  1. 1

    52713 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    52713 is composite. Its prime factorisation is

    52713=32×585752713 = 3^{2} \times 5857
  3. 3

    The divisors add up to 76154; without 52713 itself that is 23441, so 52713 is deficient (23441 is less than 52713). Euler's totient φ(52713) = 35136 numbers up to 52713 share no factor with it.

  4. 4

    The digits of 52713 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52713 = 3^{2} \times 5857 \]

52713 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors76154
Euler totient φ(n)35136
Square2778660369
Cube146471524031097
Square root229.593118 (= 3√5857)
Digit sum / digital root18 / 9
Collatz steps to 1101
Scientific notation5.2713 × 10410^{4}

52713 in other forms

FormValue
In wordsfifty-two thousand seven hundred and thirteen
Binary (base 2)1100110111101001
Octal (base 8)146751
Hexadecimal (base 16)CDE9
Base 32200022100
As time52713 seconds = 14 h 38 min 33 s

Is 52713 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).
3Yes (52713 ÷ 3 = 17571)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 3)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.
9Yes (52713 ÷ 9 = 5857)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52713 a prime number?

No. 52713 = 323^{2} × 5857, so it is divisible by 3.

What are the factors of 52713?

1, 3, 9, 5857, 17571, 52713.

What is 52713 in binary?

1100110111101001 (hexadecimal CDE9, octal 146751).

What is the square root of 52713?

About 229.5931, exactly 3√5857.

Is 52713 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 52713?

It is a composite number with 6 divisors.

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    52713: is it prime? Factors, square root, binary, Roman numeral | WordGPT