The number 33961
33961 is the 3636th prime number. Its only divisors are 1 and 33961.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33961: the 3636th prime number.
- 2
33961 is prime, so its only factors are 1 and 33961. It is the 3636th prime; the next prime is 33967 and the one before is 33941.
- 3
The divisors add up to 33962; without 33961 itself that is 1, so 33961 is deficient (1 is less than 33961). Euler's totient φ(33961) = 33960 numbers up to 33961 share no factor with it.
- 4
The digits of 33961 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
33961 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33962 |
| Euler totient φ(n) | 33960 |
| Square | 1153349521 |
| Cube | 39168903082681 |
| Square root | 184.285105 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3961 × |
33961 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and sixty-one |
| Binary (base 2) | 1000010010101001 |
| Octal (base 8) | 102251 |
| Hexadecimal (base 16) | 84A9 |
| Base 3 | 1201120211 |
| As time | 33961 seconds = 9 h 26 min 1 s |
Is 33961 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 1) | 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 4) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 33961 a prime number?
Yes. 33961 is divisible only by 1 and itself.
What are the factors of 33961?
1, 33961.
What is 33961 in binary?
1000010010101001 (hexadecimal 84A9, octal 102251).
What is the square root of 33961?
About 184.2851.
Is 33961 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33961?
33961 is the 3636th prime number.