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The number 54428

54428 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 11 × 1237. Divisors (12): 1, 2, 4, 11, 22, 44, 1237, 2474, 4948, 13607, 27214, 54428.

Number

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How to work it out

  1. 1

    54428 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

    54428 is composite. Its prime factorisation is

    54428=22×11×123754428 = 2^{2} \times 11 \times 1237
  3. 3

    The divisors add up to 103992; without 54428 itself that is 49564, so 54428 is deficient (49564 is less than 54428). Euler's totient φ(54428) = 24720 numbers up to 54428 share no factor with it.

  4. 4

    The digits of 54428 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54428 = 2^{2} \times 11 \times 1237 \]

54428 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors103992
Euler totient φ(n)24720
Square2962407184
Cube161237898210752
Square root233.298093 (= 2√13607)
Digit sum / digital root23 / 5
Collatz steps to 191
Scientific notation5.4428 × 10410^{4}

54428 in other forms

FormValue
In wordsfifty-four thousand four hundred and twenty-eight
Binary (base 2)1101010010011100
Octal (base 8)152234
Hexadecimal (base 16)D49C
Base 32202122212
As time54428 seconds = 15 h 7 min 8 s

Is 54428 divisible by 2 to 12?

DivisorAnswerRule
2Yes (54428 ÷ 2 = 27214)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 (54428 ÷ 4 = 13607)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 5)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.
11Yes (54428 ÷ 11 = 4948)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 54428 a prime number?

No. 54428 = 222^{2} × 11 × 1237, so it is divisible by 2.

What are the factors of 54428?

1, 2, 4, 11, 22, 44, 1237, 2474, 4948, 13607, 27214, 54428.

What is 54428 in binary?

1101010010011100 (hexadecimal D49C, octal 152234).

What is the square root of 54428?

About 233.2981, exactly 2√13607.

Is 54428 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 54428?

It is a composite number with 12 divisors.

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    54428: is it prime? Factors, square root, binary, Roman numeral | WordGPT