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The number 72717

72717 is a composite number with 4 divisors. Its prime factorisation is 3 × 24239. Divisors (4): 1, 3, 24239, 72717.

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How to work it out

  1. 1

    What is special about 72717: a semiprime: 3 × 24239, the product of two primes.

  2. 2

    72717 is composite. Its prime factorisation is

    72717=3×2423972717 = 3 \times 24239
  3. 3

    The divisors add up to 96960; without 72717 itself that is 24243, so 72717 is deficient (24243 is less than 72717). Euler's totient φ(72717) = 48476 numbers up to 72717 share no factor with it.

  4. 4

    The digits of 72717 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72717 = 3 \times 24239 \]

72717 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors96960
Euler totient φ(n)48476
Square5287762089
Cube384510195825813
Square root269.660898
Digit sum / digital root24 / 6
Collatz steps to 1143
Scientific notation7.2717 × 10410^{4}

72717 in other forms

FormValue
In wordsseventy-two thousand seven hundred and seventeen
Binary (base 2)10001110000001101
Octal (base 8)216015
Hexadecimal (base 16)11C0D
Base 310200202020
As time72717 seconds = 20 h 11 min 57 s

Is 72717 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 (72717 ÷ 3 = 24239)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 1)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 6)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 7)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 72717 a prime number?

No. 72717 = 3 × 24239, so it is divisible by 3.

What are the factors of 72717?

1, 3, 24239, 72717.

What is 72717 in binary?

10001110000001101 (hexadecimal 11C0D, octal 216015).

What is the square root of 72717?

About 269.6609.

Is 72717 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 72717?

72717 is a semiprime: 3 × 24239, the product of two primes.

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