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The number 52348

52348 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 23 × 569. Divisors (12): 1, 2, 4, 23, 46, 92, 569, 1138, 2276, 13087, 26174, 52348.

Number

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How to work it out

  1. 1

    52348 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

    52348 is composite. Its prime factorisation is

    52348=22×23×56952348 = 2^{2} \times 23 \times 569
  3. 3

    The divisors add up to 95760; without 52348 itself that is 43412, so 52348 is deficient (43412 is less than 52348). Euler's totient φ(52348) = 24992 numbers up to 52348 share no factor with it.

  4. 4

    The digits of 52348 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52348 = 2^{2} \times 23 \times 569 \]

52348 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors95760
Euler totient φ(n)24992
Square2740313104
Cube143449910368192
Square root228.796853 (= 2√13087)
Digit sum / digital root22 / 4
Collatz steps to 1109
Scientific notation5.2348 × 10410^{4}

52348 in other forms

FormValue
In wordsfifty-two thousand three hundred and forty-eight
Binary (base 2)1100110001111100
Octal (base 8)146174
Hexadecimal (base 16)CC7C
Base 32122210211
As time52348 seconds = 14 h 32 min 28 s

Is 52348 divisible by 2 to 12?

DivisorAnswerRule
2Yes (52348 ÷ 2 = 26174)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (52348 ÷ 4 = 13087)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52348 a prime number?

No. 52348 = 222^{2} × 23 × 569, so it is divisible by 2.

What are the factors of 52348?

1, 2, 4, 23, 46, 92, 569, 1138, 2276, 13087, 26174, 52348.

What is 52348 in binary?

1100110001111100 (hexadecimal CC7C, octal 146174).

What is the square root of 52348?

About 228.7969, exactly 2√13087.

Is 52348 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 52348?

It is a composite number with 12 divisors.

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