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The number 71315

71315 is a composite number with 8 divisors. Its prime factorisation is 5 × 17 × 839. Divisors (8): 1, 5, 17, 85, 839, 4195, 14263, 71315.

Number

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How to work it out

  1. 1

    What is special about 71315: a Harshad number: divisible by its digit sum 17.

  2. 2

    71315 is composite. Its prime factorisation is

    71315=5×17×83971315 = 5 \times 17 \times 839
  3. 3

    The divisors add up to 90720; without 71315 itself that is 19405, so 71315 is deficient (19405 is less than 71315). Euler's totient φ(71315) = 53632 numbers up to 71315 share no factor with it.

  4. 4

    The digits of 71315 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71315 = 5 \times 17 \times 839 \]

71315 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors90720
Euler totient φ(n)53632
Square5085829225
Cube362695911180875
Square root267.048685
Digit sum / digital root17 / 8
Collatz steps to 155
Scientific notation7.1315 × 10410^{4}

71315 in other forms

FormValue
In wordsseventy-one thousand three hundred and fifteen
Binary (base 2)10001011010010011
Octal (base 8)213223
Hexadecimal (base 16)11693
Base 310121211022
As time71315 seconds = 19 h 48 min 35 s

Is 71315 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 (71315 ÷ 5 = 14263)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 6)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 8)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 2)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 71315 a prime number?

No. 71315 = 5 × 17 × 839, so it is divisible by 5.

What are the factors of 71315?

1, 5, 17, 85, 839, 4195, 14263, 71315.

What is 71315 in binary?

10001011010010011 (hexadecimal 11693, octal 213223).

What is the square root of 71315?

About 267.0487.

Is 71315 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 71315?

71315 is a Harshad number: divisible by its digit sum 17.

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    71315: is it prime? Factors, square root, binary, Roman numeral | WordGPT