The number 941
941 is the 160th prime number. Its only divisors are 1 and 941.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 941: the 160th prime number.
- 2
941 is prime, so its only factors are 1 and 941. It is the 160th prime; the next prime is 947 and the one before is 937.
- 3
The divisors add up to 942; without 941 itself that is 1, so 941 is deficient (1 is less than 941). Euler's totient φ(941) = 940 numbers up to 941 share no factor with it.
- 4
The digits of 941 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
941 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 942 |
| Euler totient φ(n) | 940 |
| Square | 885481 |
| Cube | 833237621 |
| Square root | 30.675723 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 9.41 × |
941 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and forty-one |
| Roman numerals | CMXLI |
| Binary (base 2) | 1110101101 |
| Octal (base 8) | 1655 |
| Hexadecimal (base 16) | 3AD |
| Base 3 | 1021212 |
| As time | 941 seconds = 15 min 41 s |
Is 941 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 3) | 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 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 941 a prime number?
Yes. 941 is divisible only by 1 and itself.
What are the factors of 941?
1, 941.
What is 941 in binary?
1110101101 (hexadecimal 3AD, octal 1655).
What is the square root of 941?
About 30.6757.
What is 941 in Roman numerals?
CMXLI.
Is 941 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 941?
941 is the 160th prime number.