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The number 28717

28717 is a composite number with 6 divisors. Its prime factorisation is 13 Ɨ 47247^{2}. Divisors (6): 1, 13, 47, 611, 2209, 28717.

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How to work it out

  1. 1

    What is special about 28717: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    28717 is composite. Its prime factorisation is

    28717=13Ɨ47228717 = 13 \times 47^{2}
  3. 3

    The divisors add up to 31598; without 28717 itself that is 2881, so 28717 is deficient (2881 is less than 28717). Euler's totient φ(28717) = 25944 numbers up to 28717 share no factor with it.

  4. 4

    The digits of 28717 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 121 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28717 = 13 \times 47^{2} \]

28717 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors31598
Euler totient φ(n)25944
Square824666089
Cube23681936077813
Square root169.460910 (= 47√13)
Digit sum / digital root25 / 7
Collatz steps to 1121
Scientific notation2.8717 Ɨ 10410^{4}

28717 in other forms

FormValue
In wordstwenty-eight thousand seven hundred and seventeen
Binary (base 2)111000000101101
Octal (base 8)70055
Hexadecimal (base 16)702D
Base 31110101121
As time28717 seconds = 7 h 58 min 37 s

Is 28717 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 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 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 5)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.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28717 a prime number?

No. 28717 = 13 Ɨ 47247^{2}, so it is divisible by 13.

What are the factors of 28717?

1, 13, 47, 611, 2209, 28717.

What is 28717 in binary?

111000000101101 (hexadecimal 702D, octal 70055).

What is the square root of 28717?

About 169.4609, exactly 47√13.

Is 28717 divisible by 3?

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

What is special about the number 28717?

28717 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    28717: is it prime? Factors, square root, binary, Roman numeral | WordGPT