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The number 49221

49221 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1823. Divisors (8): 1, 3, 9, 27, 1823, 5469, 16407, 49221.

Number

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How to work it out

  1. 1

    49221 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    49221 is composite. Its prime factorisation is

    49221=33×182349221 = 3^{3} \times 1823
  3. 3

    The divisors add up to 72960; without 49221 itself that is 23739, so 49221 is deficient (23739 is less than 49221). Euler's totient φ(49221) = 32796 numbers up to 49221 share no factor with it.

  4. 4

    The digits of 49221 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 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49221 = 3^{3} \times 1823 \]

49221 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors72960
Euler totient φ(n)32796
Square2422706841
Cube119248053420861
Square root221.858063 (= 3√5469)
Digit sum / digital root18 / 9
Collatz steps to 1158
Scientific notation4.9221 × 10410^{4}

49221 in other forms

FormValue
In wordsforty-nine thousand two hundred and twenty-one
Binary (base 2)1100000001000101
Octal (base 8)140105
Hexadecimal (base 16)C045
Base 32111112000
As time49221 seconds = 13 h 40 min 21 s

Is 49221 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 (49221 ÷ 3 = 16407)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 1)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 4)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (49221 ÷ 9 = 5469)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 49221 a prime number?

No. 49221 = 333^{3} × 1823, so it is divisible by 3.

What are the factors of 49221?

1, 3, 9, 27, 1823, 5469, 16407, 49221.

What is 49221 in binary?

1100000001000101 (hexadecimal C045, octal 140105).

What is the square root of 49221?

About 221.8581, exactly 3√5469.

Is 49221 divisible by 3?

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

What is special about the number 49221?

It is a composite number with 8 divisors.

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    49221: is it prime? Factors, square root, binary, Roman numeral | WordGPT