The number 9907
9907 is the 1222nd prime number. Its only divisors are 1 and 9907.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9907: the 1222nd prime number.
- 2
9907 is prime, so its only factors are 1 and 9907. It is the 1222nd prime; the next prime is 9923 and the one before is 9901.
- 3
The divisors add up to 9908; without 9907 itself that is 1, so 9907 is deficient (1 is less than 9907). Euler's totient φ(9907) = 9906 numbers up to 9907 share no factor with it.
- 4
The digits of 9907 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
9907 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9908 |
| Euler totient φ(n) | 9906 |
| Square | 98148649 |
| Cube | 972358665643 |
| Square root | 99.533914 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.907 × |
9907 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and seven |
| Binary (base 2) | 10011010110011 |
| Octal (base 8) | 23263 |
| Hexadecimal (base 16) | 26B3 |
| Base 3 | 111120221 |
| As time | 9907 seconds = 2 h 45 min 7 s |
Is 9907 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9907 a prime number?
Yes. 9907 is divisible only by 1 and itself.
What are the factors of 9907?
1, 9907.
What is 9907 in binary?
10011010110011 (hexadecimal 26B3, octal 23263).
What is the square root of 9907?
About 99.5339.
Is 9907 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9907?
9907 is the 1222nd prime number.