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The number 28273

28273 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 577. Divisors (6): 1, 7, 49, 577, 4039, 28273.

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How to work it out

  1. 1

    What is special about 28273: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    28273 is composite. Its prime factorisation is

    28273=72Ɨ57728273 = 7^{2} \times 577
  3. 3

    The divisors add up to 32946; without 28273 itself that is 4673, so 28273 is deficient (4673 is less than 28273). Euler's totient φ(28273) = 24192 numbers up to 28273 share no factor with it.

  4. 4

    The digits of 28273 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 33 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28273 = 7^{2} \times 577 \]

28273 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors32946
Euler totient φ(n)24192
Square799362529
Cube22600376782417
Square root168.145770 (= 7√577)
Digit sum / digital root22 / 4
Collatz steps to 133
Scientific notation2.8273 Ɨ 10410^{4}

28273 in other forms

FormValue
In wordstwenty-eight thousand two hundred and seventy-three
Binary (base 2)110111001110001
Octal (base 8)67161
Hexadecimal (base 16)6E71
Base 31102210011
As time28273 seconds = 7 h 51 min 13 s

Is 28273 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 3)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.
7Yes (28273 Ć· 7 = 4039)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28273 a prime number?

No. 28273 = 727^{2} Ɨ 577, so it is divisible by 7.

What are the factors of 28273?

1, 7, 49, 577, 4039, 28273.

What is 28273 in binary?

110111001110001 (hexadecimal 6E71, octal 67161).

What is the square root of 28273?

About 168.1458, exactly 7√577.

Is 28273 divisible by 3?

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

What is special about the number 28273?

28273 is a happy number: repeatedly adding the squares of its digits reaches 1.

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