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The number 52748

52748 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 13187. Divisors (6): 1, 2, 4, 13187, 26374, 52748.

Number

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How to work it out

  1. 1

    52748 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

    52748 is composite. Its prime factorisation is

    52748=22×1318752748 = 2^{2} \times 13187
  3. 3

    The divisors add up to 92316; without 52748 itself that is 39568, so 52748 is deficient (39568 is less than 52748). Euler's totient φ(52748) = 26372 numbers up to 52748 share no factor with it.

  4. 4

    The digits of 52748 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52748 = 2^{2} \times 13187 \]

52748 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors92316
Euler totient φ(n)26372
Square2782351504
Cube146763477132992
Square root229.669328 (= 2√13187)
Digit sum / digital root26 / 8
Collatz steps to 1127
Scientific notation5.2748 × 10410^{4}

52748 in other forms

FormValue
In wordsfifty-two thousand seven hundred and forty-eight
Binary (base 2)1100111000001100
Octal (base 8)147014
Hexadecimal (base 16)CE0C
Base 32200100122
As time52748 seconds = 14 h 39 min 8 s

Is 52748 divisible by 2 to 12?

DivisorAnswerRule
2Yes (52748 ÷ 2 = 26374)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.
4Yes (52748 ÷ 4 = 13187)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 2)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52748 a prime number?

No. 52748 = 222^{2} × 13187, so it is divisible by 2.

What are the factors of 52748?

1, 2, 4, 13187, 26374, 52748.

What is 52748 in binary?

1100111000001100 (hexadecimal CE0C, octal 147014).

What is the square root of 52748?

About 229.6693, exactly 2√13187.

Is 52748 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 52748?

It is a composite number with 6 divisors.

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