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The number 52443

52443 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 5827. Divisors (6): 1, 3, 9, 5827, 17481, 52443.

Number

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How to work it out

  1. 1

    What is special about 52443: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    52443 is composite. Its prime factorisation is

    52443=32×582752443 = 3^{2} \times 5827
  3. 3

    The divisors add up to 75764; without 52443 itself that is 23321, so 52443 is deficient (23321 is less than 52443). Euler's totient φ(52443) = 34956 numbers up to 52443 share no factor with it.

  4. 4

    The digits of 52443 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 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52443 = 3^{2} \times 5827 \]

52443 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors75764
Euler totient φ(n)34956
Square2750268249
Cube144232317782307
Square root229.004367 (= 3√5827)
Digit sum / digital root18 / 9
Collatz steps to 152
Scientific notation5.2443 × 10410^{4}

52443 in other forms

FormValue
In wordsfifty-two thousand four hundred and forty-three
Binary (base 2)1100110011011011
Octal (base 8)146333
Hexadecimal (base 16)CCDB
Base 32122221100
As time52443 seconds = 14 h 34 min 3 s

Is 52443 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 (52443 ÷ 3 = 17481)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 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 6)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (52443 ÷ 9 = 5827)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52443 a prime number?

No. 52443 = 323^{2} × 5827, so it is divisible by 3.

What are the factors of 52443?

1, 3, 9, 5827, 17481, 52443.

What is 52443 in binary?

1100110011011011 (hexadecimal CCDB, octal 146333).

What is the square root of 52443?

About 229.0044, exactly 3√5827.

Is 52443 divisible by 3?

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

What is special about the number 52443?

52443 is a happy number: repeatedly adding the squares of its digits reaches 1.

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