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The number 47275

47275 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 31 × 61. Divisors (12): 1, 5, 25, 31, 61, 155, 305, 775, 1525, 1891, 9455, 47275.

Number

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How to work it out

  1. 1

    What is special about 47275: a Harshad number: divisible by its digit sum 25.

  2. 2

    47275 is composite. Its prime factorisation is

    47275=52×31×6147275 = 5^{2} \times 31 \times 61
  3. 3

    The divisors add up to 61504; without 47275 itself that is 14229, so 47275 is deficient (14229 is less than 47275). Euler's totient φ(47275) = 36000 numbers up to 47275 share no factor with it.

  4. 4

    The digits of 47275 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 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47275 = 5^{2} \times 31 \times 61 \]

47275 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors61504
Euler totient φ(n)36000
Square2234925625
Cube105656108921875
Square root217.428149 (= 5√1891)
Digit sum / digital root25 / 7
Collatz steps to 1127
Scientific notation4.7275 × 10410^{4}

47275 in other forms

FormValue
In wordsforty-seven thousand two hundred and seventy-five
Binary (base 2)1011100010101011
Octal (base 8)134253
Hexadecimal (base 16)B8AB
Base 32101211221
As time47275 seconds = 13 h 7 min 55 s

Is 47275 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 (47275 ÷ 5 = 9455)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 4)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 47275 a prime number?

No. 47275 = 525^{2} × 31 × 61, so it is divisible by 5.

What are the factors of 47275?

1, 5, 25, 31, 61, 155, 305, 775, 1525, 1891, 9455, 47275.

What is 47275 in binary?

1011100010101011 (hexadecimal B8AB, octal 134253).

What is the square root of 47275?

About 217.4281, exactly 5√1891.

Is 47275 divisible by 3?

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

What is special about the number 47275?

47275 is a Harshad number: divisible by its digit sum 25.

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    47275: is it prime? Factors, square root, binary, Roman numeral | WordGPT