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The number 73447

73447 is a composite number with 6 divisors. Its prime factorisation is 11211^{2} Ɨ 607. Divisors (6): 1, 11, 121, 607, 6677, 73447.

Number

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How to work it out

  1. 1

    What is special about 73447: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    73447 is composite. Its prime factorisation is

    73447=112Ɨ60773447 = 11^{2} \times 607
  3. 3

    The divisors add up to 80864; without 73447 itself that is 7417, so 73447 is deficient (7417 is less than 73447). Euler's totient φ(73447) = 66660 numbers up to 73447 share no factor with it.

  4. 4

    The digits of 73447 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 73447 = 11^{2} \times 607 \]

73447 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors80864
Euler totient φ(n)66660
Square5394461809
Cube396207036485623
Square root271.011070 (= 11√607)
Digit sum / digital root25 / 7
Collatz steps to 1187
Scientific notation7.3447 Ɨ 10410^{4}

73447 in other forms

FormValue
In wordsseventy-three thousand four hundred and forty-seven
Binary (base 2)10001111011100111
Octal (base 8)217347
Hexadecimal (base 16)11EE7
Base 310201202021
As time73447 seconds = 20 h 24 min 7 s

Is 73447 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).
3No (remainder 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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.
9No (remainder 7)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.
11Yes (73447 Ć· 11 = 6677)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 73447 a prime number?

No. 73447 = 11211^{2} Ɨ 607, so it is divisible by 11.

What are the factors of 73447?

1, 11, 121, 607, 6677, 73447.

What is 73447 in binary?

10001111011100111 (hexadecimal 11EE7, octal 217347).

What is the square root of 73447?

About 271.0111, exactly 11√607.

Is 73447 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 73447?

73447 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    73447: is it prime? Factors, square root, binary, Roman numeral | WordGPT