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The number 72809

72809 is a composite number with 4 divisors. Its prime factorisation is 11 × 6619. Divisors (4): 1, 11, 6619, 72809.

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How to work it out

  1. 1

    What is special about 72809: a semiprime: 11 × 6619, the product of two primes.

  2. 2

    72809 is composite. Its prime factorisation is

    72809=11×661972809 = 11 \times 6619
  3. 3

    The divisors add up to 79440; without 72809 itself that is 6631, so 72809 is deficient (6631 is less than 72809). Euler's totient φ(72809) = 66180 numbers up to 72809 share no factor with it.

  4. 4

    The digits of 72809 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72809 = 11 \times 6619 \]

72809 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors79440
Euler totient φ(n)66180
Square5301150481
Cube385971465371129
Square root269.831429
Digit sum / digital root26 / 8
Collatz steps to 1187
Scientific notation7.2809 × 10410^{4}

72809 in other forms

FormValue
In wordsseventy-two thousand eight hundred and nine
Binary (base 2)10001110001101001
Octal (base 8)216151
Hexadecimal (base 16)11C69
Base 310200212122
As time72809 seconds = 20 h 13 min 29 s

Is 72809 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 2)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 8)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.
11Yes (72809 ÷ 11 = 6619)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 72809 a prime number?

No. 72809 = 11 × 6619, so it is divisible by 11.

What are the factors of 72809?

1, 11, 6619, 72809.

What is 72809 in binary?

10001110001101001 (hexadecimal 11C69, octal 216151).

What is the square root of 72809?

About 269.8314.

Is 72809 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 72809?

72809 is a semiprime: 11 × 6619, the product of two primes.

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