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The number 48424

48424 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 6053. Divisors (8): 1, 2, 4, 8, 6053, 12106, 24212, 48424.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    48424 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

    48424 is composite. Its prime factorisation is

    48424=23×605348424 = 2^{3} \times 6053
  3. 3

    The divisors add up to 90810; without 48424 itself that is 42386, so 48424 is deficient (42386 is less than 48424). Euler's totient φ(48424) = 24208 numbers up to 48424 share no factor with it.

  4. 4

    The digits of 48424 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 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48424 = 2^{3} \times 6053 \]

48424 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors90810
Euler totient φ(n)24208
Square2344883776
Cube113548651969024
Square root220.054539 (= 2√12106)
Digit sum / digital root22 / 4
Collatz steps to 170
Scientific notation4.8424 × 10410^{4}

48424 in other forms

FormValue
In wordsforty-eight thousand four hundred and twenty-four
Binary (base 2)1011110100101000
Octal (base 8)136450
Hexadecimal (base 16)BD28
Base 32110102111
As time48424 seconds = 13 h 27 min 4 s

Is 48424 divisible by 2 to 12?

DivisorAnswerRule
2Yes (48424 ÷ 2 = 24212)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 (48424 ÷ 4 = 12106)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 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.
8Yes (48424 ÷ 8 = 6053)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 4)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 48424 a prime number?

No. 48424 = 232^{3} × 6053, so it is divisible by 2.

What are the factors of 48424?

1, 2, 4, 8, 6053, 12106, 24212, 48424.

What is 48424 in binary?

1011110100101000 (hexadecimal BD28, octal 136450).

What is the square root of 48424?

About 220.0545, exactly 2√12106.

Is 48424 divisible by 3?

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

What is special about the number 48424?

It is a composite number with 8 divisors.

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    48424: is it prime? Factors, square root, binary, Roman numeral | WordGPT