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The number 43227

43227 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1601. Divisors (8): 1, 3, 9, 27, 1601, 4803, 14409, 43227.

Number

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How to work it out

  1. 1

    What is special about 43227: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    43227 is composite. Its prime factorisation is

    43227=33×160143227 = 3^{3} \times 1601
  3. 3

    The divisors add up to 64080; without 43227 itself that is 20853, so 43227 is deficient (20853 is less than 43227). Euler's totient φ(43227) = 28800 numbers up to 43227 share no factor with it.

  4. 4

    The digits of 43227 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.

LaTeX source of the formulas on this page
\[ 43227 = 3^{3} \times 1601 \]

43227 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors64080
Euler totient φ(n)28800
Square1868573529
Cube80772827938083
Square root207.911039 (= 3√4803)
Digit sum / digital root18 / 9
Collatz steps to 1132
Scientific notation4.3227 × 10410^{4}

43227 in other forms

FormValue
In wordsforty-three thousand two hundred and twenty-seven
Binary (base 2)1010100011011011
Octal (base 8)124333
Hexadecimal (base 16)A8DB
Base 32012022000
As time43227 seconds = 12 h 0 min 27 s

Is 43227 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 (43227 ÷ 3 = 14409)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 2)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (43227 ÷ 9 = 4803)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 8)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 43227 a prime number?

No. 43227 = 333^{3} × 1601, so it is divisible by 3.

What are the factors of 43227?

1, 3, 9, 27, 1601, 4803, 14409, 43227.

What is 43227 in binary?

1010100011011011 (hexadecimal A8DB, octal 124333).

What is the square root of 43227?

About 207.9110, exactly 3√4803.

Is 43227 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 43227?

43227 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    43227: is it prime? Factors, square root, binary, Roman numeral | WordGPT