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The number 41875

41875 is a composite number with 10 divisors. Its prime factorisation is 545^{4} Ɨ 67. Divisors (10): 1, 5, 25, 67, 125, 335, 625, 1675, 8375, 41875.

Number

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How to work it out

  1. 1

    What is special about 41875: a Harshad number: divisible by its digit sum 25.

  2. 2

    41875 is composite. Its prime factorisation is

    41875=54Ɨ6741875 = 5^{4} \times 67
  3. 3

    The divisors add up to 53108; without 41875 itself that is 11233, so 41875 is deficient (11233 is less than 41875). Euler's totient φ(41875) = 33000 numbers up to 41875 share no factor with it.

  4. 4

    The digits of 41875 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 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41875 = 5^{4} \times 67 \]

41875 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors53108
Euler totient φ(n)33000
Square1753515625
Cube73428466796875
Square root204.633819 (= 25√67)
Digit sum / digital root25 / 7
Collatz steps to 188
Scientific notation4.1875 Ɨ 10410^{4}

41875 in other forms

FormValue
In wordsforty-one thousand eight hundred and seventy-five
Binary (base 2)1010001110010011
Octal (base 8)121623
Hexadecimal (base 16)A393
Base 32010102221
As time41875 seconds = 11 h 37 min 55 s

Is 41875 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 (41875 Ć· 5 = 8375)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 1)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 9)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 41875 a prime number?

No. 41875 = 545^{4} Ɨ 67, so it is divisible by 5.

What are the factors of 41875?

1, 5, 25, 67, 125, 335, 625, 1675, 8375, 41875.

What is 41875 in binary?

1010001110010011 (hexadecimal A393, octal 121623).

What is the square root of 41875?

About 204.6338, exactly 25√67.

Is 41875 divisible by 3?

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

What is special about the number 41875?

41875 is a Harshad number: divisible by its digit sum 25.

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