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The number 71375

71375 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 571. Divisors (8): 1, 5, 25, 125, 571, 2855, 14275, 71375.

Number

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How to work it out

  1. 1

    What is special about 71375: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    71375 is composite. Its prime factorisation is

    71375=53Ɨ57171375 = 5^{3} \times 571
  3. 3

    The divisors add up to 89232; without 71375 itself that is 17857, so 71375 is deficient (17857 is less than 71375). Euler's totient φ(71375) = 57000 numbers up to 71375 share no factor with it.

  4. 4

    The digits of 71375 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71375 = 5^{3} \times 571 \]

71375 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors89232
Euler totient φ(n)57000
Square5094390625
Cube363612130859375
Square root267.161000 (= 5√2855)
Digit sum / digital root23 / 5
Collatz steps to 1125
Scientific notation7.1375 Ɨ 10410^{4}

71375 in other forms

FormValue
In wordsseventy-one thousand three hundred and seventy-five
Binary (base 2)10001011011001111
Octal (base 8)213317
Hexadecimal (base 16)116CF
Base 310121220112
As time71375 seconds = 19 h 49 min 35 s

Is 71375 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 (71375 Ć· 5 = 14275)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 3)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 5)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 7)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 71375 a prime number?

No. 71375 = 535^{3} Ɨ 571, so it is divisible by 5.

What are the factors of 71375?

1, 5, 25, 125, 571, 2855, 14275, 71375.

What is 71375 in binary?

10001011011001111 (hexadecimal 116CF, octal 213317).

What is the square root of 71375?

About 267.1610, exactly 5√2855.

Is 71375 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 71375?

71375 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    71375: is it prime? Factors, square root, binary, Roman numeral | WordGPT