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The number 54486

54486 is a composite number with 16 divisors. Its prime factorisation is 2 × 333^{3} × 1009. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1009, 2018, 3027, 6054, 9081, 18162, 27243, 54486.

Number

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How to work it out

  1. 1

    What is special about 54486: a Harshad number: divisible by its digit sum 27.

  2. 2

    54486 is composite. Its prime factorisation is

    54486=2×33×100954486 = 2 \times 3^{3} \times 1009
  3. 3

    The divisors add up to 121200; without 54486 itself that is 66714, so 54486 is abundant (66714 is more than 54486). Euler's totient φ(54486) = 18144 numbers up to 54486 share no factor with it.

  4. 4

    The digits of 54486 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54486 = 2 \times 3^{3} \times 1009 \]

54486 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors121200
Euler totient φ(n)18144
Square2968724196
Cube161753906543256
Square root233.422364 (= 3√6054)
Digit sum / digital root27 / 9
Collatz steps to 139
Scientific notation5.4486 × 10410^{4}

54486 in other forms

FormValue
In wordsfifty-four thousand four hundred and eighty-six
Binary (base 2)1101010011010110
Octal (base 8)152326
Hexadecimal (base 16)D4D6
Base 32202202000
As time54486 seconds = 15 h 8 min 6 s

Is 54486 divisible by 2 to 12?

DivisorAnswerRule
2Yes (54486 ÷ 2 = 27243)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (54486 ÷ 3 = 18162)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (54486 ÷ 6 = 9081)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.
8No (remainder 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (54486 ÷ 9 = 6054)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54486 a prime number?

No. 54486 = 2 × 333^{3} × 1009, so it is divisible by 2.

What are the factors of 54486?

1, 2, 3, 6, 9, 18, 27, 54, 1009, 2018, 3027, 6054, 9081, 18162, 27243, 54486.

What is 54486 in binary?

1101010011010110 (hexadecimal D4D6, octal 152326).

What is the square root of 54486?

About 233.4224, exactly 3√6054.

Is 54486 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 54486?

54486 is a Harshad number: divisible by its digit sum 27.

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