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The number 54918

54918 is a composite number with 24 divisors. Its prime factorisation is 2 × 353^{5} × 113. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 81, 113, 162, 226, 243, 339, 486, 678 … 54918.

Number

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How to work it out

  1. 1

    What is special about 54918: a Harshad number: divisible by its digit sum 27.

  2. 2

    54918 is composite. Its prime factorisation is

    54918=2×35×11354918 = 2 \times 3^{5} \times 113
  3. 3

    The divisors add up to 124488; without 54918 itself that is 69570, so 54918 is abundant (69570 is more than 54918). Euler's totient φ(54918) = 18144 numbers up to 54918 share no factor with it.

  4. 4

    The digits of 54918 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 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54918 = 2 \times 3^{5} \times 113 \]

54918 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors124488
Euler totient φ(n)18144
Square3015986724
Cube165631958908632
Square root234.345898 (= 9√678)
Digit sum / digital root27 / 9
Collatz steps to 160
Scientific notation5.4918 × 10410^{4}

54918 in other forms

FormValue
In wordsfifty-four thousand nine hundred and eighteen
Binary (base 2)1101011010000110
Octal (base 8)153206
Hexadecimal (base 16)D686
Base 32210100000
As time54918 seconds = 15 h 15 min 18 s

Is 54918 divisible by 2 to 12?

DivisorAnswerRule
2Yes (54918 ÷ 2 = 27459)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (54918 ÷ 3 = 18306)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (54918 ÷ 6 = 9153)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (54918 ÷ 9 = 6102)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 6)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 54918 a prime number?

No. 54918 = 2 × 353^{5} × 113, so it is divisible by 2.

What are the factors of 54918?

1, 2, 3, 6, 9, 18, 27, 54, 81, 113, 162, 226, 243, 339, 486, 678, 1017, 2034, 3051, 6102, 9153, 18306, 27459, 54918.

What is 54918 in binary?

1101011010000110 (hexadecimal D686, octal 153206).

What is the square root of 54918?

About 234.3459, exactly 9√678.

Is 54918 divisible by 3?

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

What is special about the number 54918?

54918 is a Harshad number: divisible by its digit sum 27.

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    54918: is it prime? Factors, square root, binary, Roman numeral | WordGPT