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The number 27475

27475 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 7 × 157. Divisors (12): 1, 5, 7, 25, 35, 157, 175, 785, 1099, 3925, 5495, 27475.

Number

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How to work it out

  1. 1

    What is special about 27475: a Harshad number: divisible by its digit sum 25.

  2. 2

    27475 is composite. Its prime factorisation is

    27475=52×7×15727475 = 5^{2} \times 7 \times 157
  3. 3

    The divisors add up to 39184; without 27475 itself that is 11709, so 27475 is deficient (11709 is less than 27475). Euler's totient φ(27475) = 18720 numbers up to 27475 share no factor with it.

  4. 4

    The digits of 27475 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 95 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27475 = 5^{2} \times 7 \times 157 \]

27475 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors39184
Euler totient φ(n)18720
Square754875625
Cube20740207796875
Square root165.755845 (= 5√1099)
Digit sum / digital root25 / 7
Collatz steps to 195
Scientific notation2.7475 × 10410^{4}

27475 in other forms

FormValue
In wordstwenty-seven thousand four hundred and seventy-five
Binary (base 2)110101101010011
Octal (base 8)65523
Hexadecimal (base 16)6B53
Base 31101200121
As time27475 seconds = 7 h 37 min 55 s

Is 27475 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.
5Yes (27475 ÷ 5 = 5495)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 (27475 ÷ 7 = 3925)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 3)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 27475 a prime number?

No. 27475 = 525^{2} × 7 × 157, so it is divisible by 5.

What are the factors of 27475?

1, 5, 7, 25, 35, 157, 175, 785, 1099, 3925, 5495, 27475.

What is 27475 in binary?

110101101010011 (hexadecimal 6B53, octal 65523).

What is the square root of 27475?

About 165.7558, exactly 5√1099.

Is 27475 divisible by 3?

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

What is special about the number 27475?

27475 is a Harshad number: divisible by its digit sum 25.

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