The number 87017
87017 is a composite number with 8 divisors. Its prime factorisation is 7 × 31 × 401. Divisors (8): 1, 7, 31, 217, 401, 2807, 12431, 87017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87017 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87017 is composite. Its prime factorisation is
- 3
The divisors add up to 102912; without 87017 itself that is 15895, so 87017 is deficient (15895 is less than 87017). Euler's totient φ(87017) = 72000 numbers up to 87017 share no factor with it.
- 4
The digits of 87017 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 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87017 = 7 \times 31 \times 401 \]
87017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 102912 |
| Euler totient φ(n) | 72000 |
| Square | 7571958289 |
| Cube | 658889094433913 |
| Square root | 294.986440 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 177 |
| Scientific notation | 8.7017 × |
87017 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and seventeen |
| Binary (base 2) | 10101001111101001 |
| Octal (base 8) | 251751 |
| Hexadecimal (base 16) | 153E9 |
| Base 3 | 11102100212 |
| As time | 87017 seconds = 24 h 10 min 17 s |
Is 87017 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 2) | 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 | Yes (87017 ÷ 7 = 12431) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 87017 a prime number?
No. 87017 = 7 × 31 × 401, so it is divisible by 7.
What are the factors of 87017?
1, 7, 31, 217, 401, 2807, 12431, 87017.
What is 87017 in binary?
10101001111101001 (hexadecimal 153E9, octal 251751).
What is the square root of 87017?
About 294.9864.
Is 87017 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 87017?
It is a composite number with 8 divisors.