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The number 52283

52283 is a composite number with 12 divisors. Its prime factorisation is 727^{2} × 11 × 97. Divisors (12): 1, 7, 11, 49, 77, 97, 539, 679, 1067, 4753, 7469, 52283.

Number

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How to work it out

  1. 1

    52283 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

    52283 is composite. Its prime factorisation is

    52283=72×11×9752283 = 7^{2} \times 11 \times 97
  3. 3

    The divisors add up to 67032; without 52283 itself that is 14749, so 52283 is deficient (14749 is less than 52283). Euler's totient φ(52283) = 40320 numbers up to 52283 share no factor with it.

  4. 4

    The digits of 52283 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52283 = 7^{2} \times 11 \times 97 \]

52283 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors67032
Euler totient φ(n)40320
Square2733512089
Cube142916212549187
Square root228.654762 (= 7√1067)
Digit sum / digital root20 / 2
Collatz steps to 1109
Scientific notation5.2283 × 10410^{4}

52283 in other forms

FormValue
In wordsfifty-two thousand two hundred and eighty-three
Binary (base 2)1100110000111011
Octal (base 8)146073
Hexadecimal (base 16)CC3B
Base 32122201102
As time52283 seconds = 14 h 31 min 23 s

Is 52283 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 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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (52283 ÷ 7 = 7469)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.
9No (remainder 2)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.
11Yes (52283 ÷ 11 = 4753)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52283 a prime number?

No. 52283 = 727^{2} × 11 × 97, so it is divisible by 7.

What are the factors of 52283?

1, 7, 11, 49, 77, 97, 539, 679, 1067, 4753, 7469, 52283.

What is 52283 in binary?

1100110000111011 (hexadecimal CC3B, octal 146073).

What is the square root of 52283?

About 228.6548, exactly 7√1067.

Is 52283 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 52283?

It is a composite number with 12 divisors.

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