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The number 73317

73317 is a composite number with 4 divisors. Its prime factorisation is 3 × 24439. Divisors (4): 1, 3, 24439, 73317.

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How to work it out

  1. 1

    What is special about 73317: a semiprime: 3 × 24439, the product of two primes.

  2. 2

    73317 is composite. Its prime factorisation is

    73317=3×2443973317 = 3 \times 24439
  3. 3

    The divisors add up to 97760; without 73317 itself that is 24443, so 73317 is deficient (24443 is less than 73317). Euler's totient φ(73317) = 48876 numbers up to 73317 share no factor with it.

  4. 4

    The digits of 73317 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.

LaTeX source of the formulas on this page
\[ 73317 = 3 \times 24439 \]

73317 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors97760
Euler totient φ(n)48876
Square5375382489
Cube394106917946013
Square root270.771121
Digit sum / digital root21 / 3
Collatz steps to 137
Scientific notation7.3317 × 10410^{4}

73317 in other forms

FormValue
In wordsseventy-three thousand three hundred and seventeen
Binary (base 2)10001111001100101
Octal (base 8)217145
Hexadecimal (base 16)11E65
Base 310201120110
As time73317 seconds = 20 h 21 min 57 s

Is 73317 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 (73317 ÷ 3 = 24439)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 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 6)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.
9No (remainder 3)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 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 73317 a prime number?

No. 73317 = 3 × 24439, so it is divisible by 3.

What are the factors of 73317?

1, 3, 24439, 73317.

What is 73317 in binary?

10001111001100101 (hexadecimal 11E65, octal 217145).

What is the square root of 73317?

About 270.7711.

Is 73317 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 73317?

73317 is a semiprime: 3 × 24439, the product of two primes.

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