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The number 41375

41375 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 331. Divisors (8): 1, 5, 25, 125, 331, 1655, 8275, 41375.

Number

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How to work it out

  1. 1

    What is special about 41375: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    41375 is composite. Its prime factorisation is

    41375=53Ɨ33141375 = 5^{3} \times 331
  3. 3

    The divisors add up to 51792; without 41375 itself that is 10417, so 41375 is deficient (10417 is less than 41375). Euler's totient φ(41375) = 33000 numbers up to 41375 share no factor with it.

  4. 4

    The digits of 41375 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41375 = 5^{3} \times 331 \]

41375 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors51792
Euler totient φ(n)33000
Square1711890625
Cube70829474609375
Square root203.408456 (= 5√1655)
Digit sum / digital root20 / 2
Collatz steps to 1181
Scientific notation4.1375 Ɨ 10410^{4}

41375 in other forms

FormValue
In wordsforty-one thousand three hundred and seventy-five
Binary (base 2)1010000110011111
Octal (base 8)120637
Hexadecimal (base 16)A19F
Base 32002202102
As time41375 seconds = 11 h 29 min 35 s

Is 41375 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 2)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 (41375 Ć· 5 = 8275)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41375 a prime number?

No. 41375 = 535^{3} Ɨ 331, so it is divisible by 5.

What are the factors of 41375?

1, 5, 25, 125, 331, 1655, 8275, 41375.

What is 41375 in binary?

1010000110011111 (hexadecimal A19F, octal 120637).

What is the square root of 41375?

About 203.4085, exactly 5√1655.

Is 41375 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 41375?

41375 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    41375: is it prime? Factors, square root, binary, Roman numeral | WordGPT