The number 9941
9941 is the 1226th prime number. Its only divisors are 1 and 9941.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9941: the 1226th prime number.
- 2
9941 is prime, so its only factors are 1 and 9941. It is the 1226th prime; the next prime is 9949 and the one before is 9931.
- 3
The divisors add up to 9942; without 9941 itself that is 1, so 9941 is deficient (1 is less than 9941). Euler's totient φ(9941) = 9940 numbers up to 9941 share no factor with it.
- 4
The digits of 9941 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 91 steps to reach 1.
9941 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9942 |
| Euler totient φ(n) | 9940 |
| Square | 98823481 |
| Cube | 982404224621 |
| Square root | 99.704564 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.941 × |
9941 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and forty-one |
| Binary (base 2) | 10011011010101 |
| Octal (base 8) | 23325 |
| Hexadecimal (base 16) | 26D5 |
| Base 3 | 111122012 |
| As time | 9941 seconds = 2 h 45 min 41 s |
Is 9941 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 1) | 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 1) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 9941 a prime number?
Yes. 9941 is divisible only by 1 and itself.
What are the factors of 9941?
1, 9941.
What is 9941 in binary?
10011011010101 (hexadecimal 26D5, octal 23325).
What is the square root of 9941?
About 99.7046.
Is 9941 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9941?
9941 is the 1226th prime number.