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The number 73449

73449 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 8161. Divisors (6): 1, 3, 9, 8161, 24483, 73449.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    73449 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

    73449 is composite. Its prime factorisation is

    73449=32×816173449 = 3^{2} \times 8161
  3. 3

    The divisors add up to 106106; without 73449 itself that is 32657, so 73449 is deficient (32657 is less than 73449). Euler's totient φ(73449) = 48960 numbers up to 73449 share no factor with it.

  4. 4

    The digits of 73449 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 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 73449 = 3^{2} \times 8161 \]

73449 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors106106
Euler totient φ(n)48960
Square5394755601
Cube396239404137849
Square root271.014760 (= 3√8161)
Digit sum / digital root27 / 9
Collatz steps to 1187
Scientific notation7.3449 × 10410^{4}

73449 in other forms

FormValue
In wordsseventy-three thousand four hundred and forty-nine
Binary (base 2)10001111011101001
Octal (base 8)217351
Hexadecimal (base 16)11EE9
Base 310201202100
As time73449 seconds = 20 h 24 min 9 s

Is 73449 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 (73449 ÷ 3 = 24483)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 4)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 (73449 ÷ 9 = 8161)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 73449 a prime number?

No. 73449 = 323^{2} × 8161, so it is divisible by 3.

What are the factors of 73449?

1, 3, 9, 8161, 24483, 73449.

What is 73449 in binary?

10001111011101001 (hexadecimal 11EE9, octal 217351).

What is the square root of 73449?

About 271.0148, exactly 3√8161.

Is 73449 divisible by 3?

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

What is special about the number 73449?

It is a composite number with 6 divisors.

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    73449: is it prime? Factors, square root, binary, Roman numeral | WordGPT