The number 71009
71009 is a composite number with 4 divisors. Its prime factorisation is 17 × 4177. Divisors (4): 1, 17, 4177, 71009.
Pick any whole number from 1 to 100,000.
How to work it out
- 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
71009 is composite. Its prime factorisation is
- 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
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
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 75204 |
| Euler totient φ(n) | 66816 |
| Square | 5042278081 |
| Cube | 358047124253729 |
| Square root | 266.475140 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.1009 × |
71009 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and nine |
| Binary (base 2) | 10001010101100001 |
| Octal (base 8) | 212541 |
| Hexadecimal (base 16) | 11561 |
| Base 3 | 10121101222 |
| As time | 71009 seconds = 19 h 43 min 29 s |
Is 71009 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (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. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (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.