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The number 54297

54297 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 2011. Divisors (8): 1, 3, 9, 27, 2011, 6033, 18099, 54297.

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How to work it out

  1. 1

    What is special about 54297: a Harshad number: divisible by its digit sum 27.

  2. 2

    54297 is composite. Its prime factorisation is

    54297=33×201154297 = 3^{3} \times 2011
  3. 3

    The divisors add up to 80480; without 54297 itself that is 26183, so 54297 is deficient (26183 is less than 54297). Euler's totient φ(54297) = 36180 numbers up to 54297 share no factor with it.

  4. 4

    The digits of 54297 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 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54297 = 3^{3} \times 2011 \]

54297 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors80480
Euler totient φ(n)36180
Square2948164209
Cube160076472056073
Square root233.017167 (= 3√6033)
Digit sum / digital root27 / 9
Collatz steps to 191
Scientific notation5.4297 × 10410^{4}

54297 in other forms

FormValue
In wordsfifty-four thousand two hundred and ninety-seven
Binary (base 2)1101010000011001
Octal (base 8)152031
Hexadecimal (base 16)D419
Base 32202111000
As time54297 seconds = 15 h 4 min 57 s

Is 54297 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (54297 ÷ 3 = 18099)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (54297 ÷ 9 = 6033)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54297 a prime number?

No. 54297 = 333^{3} × 2011, so it is divisible by 3.

What are the factors of 54297?

1, 3, 9, 27, 2011, 6033, 18099, 54297.

What is 54297 in binary?

1101010000011001 (hexadecimal D419, octal 152031).

What is the square root of 54297?

About 233.0172, exactly 3√6033.

Is 54297 divisible by 3?

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

What is special about the number 54297?

54297 is a Harshad number: divisible by its digit sum 27.

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