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The number 52648

52648 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 6581. Divisors (8): 1, 2, 4, 8, 6581, 13162, 26324, 52648.

Number

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How to work it out

  1. 1

    52648 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

    52648 is composite. Its prime factorisation is

    52648=23×658152648 = 2^{3} \times 6581
  3. 3

    The divisors add up to 98730; without 52648 itself that is 46082, so 52648 is deficient (46082 is less than 52648). Euler's totient φ(52648) = 26320 numbers up to 52648 share no factor with it.

  4. 4

    The digits of 52648 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52648 = 2^{3} \times 6581 \]

52648 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors98730
Euler totient φ(n)26320
Square2771811904
Cube145930353121792
Square root229.451520 (= 2√13162)
Digit sum / digital root25 / 7
Collatz steps to 1140
Scientific notation5.2648 × 10410^{4}

52648 in other forms

FormValue
In wordsfifty-two thousand six hundred and forty-eight
Binary (base 2)1100110110101000
Octal (base 8)146650
Hexadecimal (base 16)CDA8
Base 32200012221
As time52648 seconds = 14 h 37 min 28 s

Is 52648 divisible by 2 to 12?

DivisorAnswerRule
2Yes (52648 ÷ 2 = 26324)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 (52648 ÷ 4 = 13162)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 1)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (52648 ÷ 8 = 6581)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 2)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 52648 a prime number?

No. 52648 = 232^{3} × 6581, so it is divisible by 2.

What are the factors of 52648?

1, 2, 4, 8, 6581, 13162, 26324, 52648.

What is 52648 in binary?

1100110110101000 (hexadecimal CDA8, octal 146650).

What is the square root of 52648?

About 229.4515, exactly 2√13162.

Is 52648 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 52648?

It is a composite number with 8 divisors.

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    52648: is it prime? Factors, square root, binary, Roman numeral | WordGPT