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The number 28108

28108 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 7027. Divisors (6): 1, 2, 4, 7027, 14054, 28108.

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How to work it out

  1. 1

    What is special about 28108: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    28108 is composite. Its prime factorisation is

    28108=22×702728108 = 2^{2} \times 7027
  3. 3

    The divisors add up to 49196; without 28108 itself that is 21088, so 28108 is deficient (21088 is less than 28108). Euler's totient φ(28108) = 14052 numbers up to 28108 share no factor with it.

  4. 4

    The digits of 28108 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28108 = 2^{2} \times 7027 \]

28108 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors49196
Euler totient φ(n)14052
Square790059664
Cube22206997035712
Square root167.654406 (= 2√7027)
Digit sum / digital root19 / 1
Collatz steps to 159
Scientific notation2.8108 × 10410^{4}

28108 in other forms

FormValue
In wordstwenty-eight thousand one hundred and eight
Binary (base 2)110110111001100
Octal (base 8)66714
Hexadecimal (base 16)6DCC
Base 31102120001
As time28108 seconds = 7 h 48 min 28 s

Is 28108 divisible by 2 to 12?

DivisorAnswerRule
2Yes (28108 ÷ 2 = 14054)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.
4Yes (28108 ÷ 4 = 7027)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28108 a prime number?

No. 28108 = 222^{2} × 7027, so it is divisible by 2.

What are the factors of 28108?

1, 2, 4, 7027, 14054, 28108.

What is 28108 in binary?

110110111001100 (hexadecimal 6DCC, octal 66714).

What is the square root of 28108?

About 167.6544, exactly 2√7027.

Is 28108 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 28108?

28108 is a happy number: repeatedly adding the squares of its digits reaches 1.

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