The number 10017
10017 is a composite number with 16 divisors. Its prime factorisation is × 7 × 53. Divisors (16): 1, 3, 7, 9, 21, 27, 53, 63, 159, 189, 371, 477, 1113, 1431, 3339, 10017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10017: a Harshad number: divisible by its digit sum 9.
- 2
10017 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 10017 itself that is 7263, so 10017 is deficient (7263 is less than 10017). Euler's totient φ(10017) = 5616 numbers up to 10017 share no factor with it.
- 4
The digits of 10017 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10017 = 3^{3} \times 7 \times 53 \]10017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 5616 |
| Square | 100340289 |
| Cube | 1005108674913 |
| Square root | 100.084964 (= 3√1113) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.0017 × |
10017 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and seventeen |
| Binary (base 2) | 10011100100001 |
| Octal (base 8) | 23441 |
| Hexadecimal (base 16) | 2721 |
| Base 3 | 111202000 |
| As time | 10017 seconds = 2 h 46 min 57 s |
Is 10017 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 | Yes (10017 ÷ 3 = 3339) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10017 ÷ 7 = 1431) | 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 | Yes (10017 ÷ 9 = 1113) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10017 a prime number?
No. 10017 = × 7 × 53, so it is divisible by 3.
What are the factors of 10017?
1, 3, 7, 9, 21, 27, 53, 63, 159, 189, 371, 477, 1113, 1431, 3339, 10017.
What is 10017 in binary?
10011100100001 (hexadecimal 2721, octal 23441).
What is the square root of 10017?
About 100.0850, exactly 3√1113.
Is 10017 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10017?
10017 is a Harshad number: divisible by its digit sum 9.