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The number 73289

73289 is a composite number with 4 divisors. Its prime factorisation is 83 × 883. Divisors (4): 1, 83, 883, 73289.

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How to work it out

  1. 1

    What is special about 73289: a semiprime: 83 × 883, the product of two primes.

  2. 2

    73289 is composite. Its prime factorisation is

    73289=83×88373289 = 83 \times 883
  3. 3

    The divisors add up to 74256; without 73289 itself that is 967, so 73289 is deficient (967 is less than 73289). Euler's totient φ(73289) = 72324 numbers up to 73289 share no factor with it.

  4. 4

    The digits of 73289 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.

LaTeX source of the formulas on this page
\[ 73289 = 83 \times 883 \]

73289 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors74256
Euler totient φ(n)72324
Square5371277521
Cube393655558236569
Square root270.719412
Digit sum / digital root29 / 2
Collatz steps to 1200
Scientific notation7.3289 × 10410^{4}

73289 in other forms

FormValue
In wordsseventy-three thousand two hundred and eighty-nine
Binary (base 2)10001111001001001
Octal (base 8)217111
Hexadecimal (base 16)11E49
Base 310201112102
As time73289 seconds = 20 h 21 min 29 s

Is 73289 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 2)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 5)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 73289 a prime number?

No. 73289 = 83 × 883, so it is divisible by 83.

What are the factors of 73289?

1, 83, 883, 73289.

What is 73289 in binary?

10001111001001001 (hexadecimal 11E49, octal 217111).

What is the square root of 73289?

About 270.7194.

Is 73289 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 73289?

73289 is a semiprime: 83 × 883, the product of two primes.

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