The number 9949
9949 is the 1227th prime number. Its only divisors are 1 and 9949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9949: the 1227th prime number.
- 2
9949 is prime, so its only factors are 1 and 9949. It is the 1227th prime; the next prime is 9967 and the one before is 9941.
- 3
The divisors add up to 9950; without 9949 itself that is 1, so 9949 is deficient (1 is less than 9949). Euler's totient φ(9949) = 9948 numbers up to 9949 share no factor with it.
- 4
The digits of 9949 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
9949 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9950 |
| Euler totient φ(n) | 9948 |
| Square | 98982601 |
| Cube | 984777897349 |
| Square root | 99.744674 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.949 × |
9949 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and forty-nine |
| Binary (base 2) | 10011011011101 |
| Octal (base 8) | 23335 |
| Hexadecimal (base 16) | 26DD |
| Base 3 | 111122111 |
| As time | 9949 seconds = 2 h 45 min 49 s |
Is 9949 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 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9949 a prime number?
Yes. 9949 is divisible only by 1 and itself.
What are the factors of 9949?
1, 9949.
What is 9949 in binary?
10011011011101 (hexadecimal 26DD, octal 23335).
What is the square root of 9949?
About 99.7447.
Is 9949 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 9949?
9949 is the 1227th prime number.