The number 9917
9917 is a composite number with 4 divisors. Its prime factorisation is 47 × 211. Divisors (4): 1, 47, 211, 9917.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9917: a semiprime: 47 × 211, the product of two primes.
- 2
9917 is composite. Its prime factorisation is
- 3
The divisors add up to 10176; without 9917 itself that is 259, so 9917 is deficient (259 is less than 9917). Euler's totient φ(9917) = 9660 numbers up to 9917 share no factor with it.
- 4
The digits of 9917 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9917 = 47 \times 211 \]
9917 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10176 |
| Euler totient φ(n) | 9660 |
| Square | 98346889 |
| Cube | 975306098213 |
| Square root | 99.584135 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.917 × |
9917 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and seventeen |
| Binary (base 2) | 10011010111101 |
| Octal (base 8) | 23275 |
| Hexadecimal (base 16) | 26BD |
| Base 3 | 111121022 |
| As time | 9917 seconds = 2 h 45 min 17 s |
Is 9917 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 | No (remainder 5) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 9917 a prime number?
No. 9917 = 47 × 211, so it is divisible by 47.
What are the factors of 9917?
1, 47, 211, 9917.
What is 9917 in binary?
10011010111101 (hexadecimal 26BD, octal 23275).
What is the square root of 9917?
About 99.5841.
Is 9917 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9917?
9917 is a semiprime: 47 × 211, the product of two primes.