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The number 55287

55287 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6143. Divisors (6): 1, 3, 9, 6143, 18429, 55287.

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How to work it out

  1. 1

    What is special about 55287: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    55287 is composite. Its prime factorisation is

    55287=32×614355287 = 3^{2} \times 6143
  3. 3

    The divisors add up to 79872; without 55287 itself that is 24585, so 55287 is deficient (24585 is less than 55287). Euler's totient φ(55287) = 36852 numbers up to 55287 share no factor with it.

  4. 4

    The digits of 55287 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 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55287 = 3^{2} \times 6143 \]

55287 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors79872
Euler totient φ(n)36852
Square3056652369
Cube168993139524903
Square root235.131878 (= 3√6143)
Digit sum / digital root27 / 9
Collatz steps to 1153
Scientific notation5.5287 × 10410^{4}

55287 in other forms

FormValue
In wordsfifty-five thousand two hundred and eighty-seven
Binary (base 2)1101011111110111
Octal (base 8)153767
Hexadecimal (base 16)D7F7
Base 32210211200
As time55287 seconds = 15 h 21 min 27 s

Is 55287 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 (55287 ÷ 3 = 18429)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 1)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (55287 ÷ 9 = 6143)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55287 a prime number?

No. 55287 = 323^{2} × 6143, so it is divisible by 3.

What are the factors of 55287?

1, 3, 9, 6143, 18429, 55287.

What is 55287 in binary?

1101011111110111 (hexadecimal D7F7, octal 153767).

What is the square root of 55287?

About 235.1319, exactly 3√6143.

Is 55287 divisible by 3?

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

What is special about the number 55287?

55287 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    55287: is it prime? Factors, square root, binary, Roman numeral | WordGPT