The number 33941
33941 is the 3635th prime number. Its only divisors are 1 and 33941.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33941: the 3635th prime number.
- 2
33941 is prime, so its only factors are 1 and 33941. It is the 3635th prime; the next prime is 33961 and the one before is 33937.
- 3
The divisors add up to 33942; without 33941 itself that is 1, so 33941 is deficient (1 is less than 33941). Euler's totient φ(33941) = 33940 numbers up to 33941 share no factor with it.
- 4
The digits of 33941 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
33941 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33942 |
| Euler totient φ(n) | 33940 |
| Square | 1151991481 |
| Cube | 39099742856621 |
| Square root | 184.230833 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3941 × |
33941 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and forty-one |
| Binary (base 2) | 1000010010010101 |
| Octal (base 8) | 102225 |
| Hexadecimal (base 16) | 8495 |
| Base 3 | 1201120002 |
| As time | 33941 seconds = 9 h 25 min 41 s |
Is 33941 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 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 2) | 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 33941 a prime number?
Yes. 33941 is divisible only by 1 and itself.
What are the factors of 33941?
1, 33941.
What is 33941 in binary?
1000010010010101 (hexadecimal 8495, octal 102225).
What is the square root of 33941?
About 184.2308.
Is 33941 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33941?
33941 is the 3635th prime number.