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The number 28327

28327 is a composite number with 4 divisors. Its prime factorisation is 13 × 2179. Divisors (4): 1, 13, 2179, 28327.

Number

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How to work it out

  1. 1

    What is special about 28327: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 2179, the product of two primes.

  2. 2

    28327 is composite. Its prime factorisation is

    28327=13×217928327 = 13 \times 2179
  3. 3

    The divisors add up to 30520; without 28327 itself that is 2193, so 28327 is deficient (2193 is less than 28327). Euler's totient φ(28327) = 26136 numbers up to 28327 share no factor with it.

  4. 4

    The digits of 28327 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28327 = 13 \times 2179 \]

28327 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors30520
Euler totient φ(n)26136
Square802418929
Cube22730121001783
Square root168.306268
Digit sum / digital root22 / 4
Collatz steps to 1103
Scientific notation2.8327 × 10410^{4}

28327 in other forms

FormValue
In wordstwenty-eight thousand three hundred and twenty-seven
Binary (base 2)110111010100111
Octal (base 8)67247
Hexadecimal (base 16)6EA7
Base 31102212011
As time28327 seconds = 7 h 52 min 7 s

Is 28327 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 3)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 5)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28327 a prime number?

No. 28327 = 13 × 2179, so it is divisible by 13.

What are the factors of 28327?

1, 13, 2179, 28327.

What is 28327 in binary?

110111010100111 (hexadecimal 6EA7, octal 67247).

What is the square root of 28327?

About 168.3063.

Is 28327 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 28327?

28327 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 2179, the product of two primes.

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    28327: is it prime? Factors, square root, binary, Roman numeral | WordGPT