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The number 52743

52743 is a composite number with 4 divisors. Its prime factorisation is 3 × 17581. Divisors (4): 1, 3, 17581, 52743.

Number

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How to work it out

  1. 1

    What is special about 52743: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 17581, the product of two primes.

  2. 2

    52743 is composite. Its prime factorisation is

    52743=3×1758152743 = 3 \times 17581
  3. 3

    The divisors add up to 70328; without 52743 itself that is 17585, so 52743 is deficient (17585 is less than 52743). Euler's totient φ(52743) = 35160 numbers up to 52743 share no factor with it.

  4. 4

    The digits of 52743 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52743 = 3 \times 17581 \]

52743 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors70328
Euler totient φ(n)35160
Square2781824049
Cube146721745816407
Square root229.658442
Digit sum / digital root21 / 3
Collatz steps to 178
Scientific notation5.2743 × 10410^{4}

52743 in other forms

FormValue
In wordsfifty-two thousand seven hundred and forty-three
Binary (base 2)1100111000000111
Octal (base 8)147007
Hexadecimal (base 16)CE07
Base 32200100110
As time52743 seconds = 14 h 39 min 3 s

Is 52743 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 (52743 ÷ 3 = 17581)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 5)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 3)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 9)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 52743 a prime number?

No. 52743 = 3 × 17581, so it is divisible by 3.

What are the factors of 52743?

1, 3, 17581, 52743.

What is 52743 in binary?

1100111000000111 (hexadecimal CE07, octal 147007).

What is the square root of 52743?

About 229.6584.

Is 52743 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 52743?

52743 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 17581, the product of two primes.

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