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The number 71009

71009 is a composite number with 4 divisors. Its prime factorisation is 17 × 4177. Divisors (4): 1, 17, 4177, 71009.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 71009: a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 4177, the product of two primes.

  2. 2

    71009 is composite. Its prime factorisation is

    71009=17×417771009 = 17 \times 4177
  3. 3

    The divisors add up to 75204; without 71009 itself that is 4195, so 71009 is deficient (4195 is less than 71009). Euler's totient φ(71009) = 66816 numbers up to 71009 share no factor with it.

  4. 4

    The digits of 71009 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 218 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71009 = 17 \times 4177 \]

71009 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors75204
Euler totient φ(n)66816
Square5042278081
Cube358047124253729
Square root266.475140
Digit sum / digital root17 / 8
Collatz steps to 1218
Scientific notation7.1009 × 10410^{4}

71009 in other forms

FormValue
In wordsseventy-one thousand and nine
Binary (base 2)10001010101100001
Octal (base 8)212541
Hexadecimal (base 16)11561
Base 310121101222
As time71009 seconds = 19 h 43 min 29 s

Is 71009 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 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 1)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 9)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71009 a prime number?

No. 71009 = 17 × 4177, so it is divisible by 17.

What are the factors of 71009?

1, 17, 4177, 71009.

What is 71009 in binary?

10001010101100001 (hexadecimal 11561, octal 212541).

What is the square root of 71009?

About 266.4751.

Is 71009 divisible by 3?

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

What is special about the number 71009?

71009 is a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 4177, the product of two primes.

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