The number 33937
33937 is the 3634th prime number. Its only divisors are 1 and 33937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33937: the 3634th prime number.
- 2
33937 is prime, so its only factors are 1 and 33937. It is the 3634th prime; the next prime is 33941 and the one before is 33931.
- 3
The divisors add up to 33938; without 33937 itself that is 1, so 33937 is deficient (1 is less than 33937). Euler's totient φ(33937) = 33936 numbers up to 33937 share no factor with it.
- 4
The digits of 33937 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
33937 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33938 |
| Euler totient φ(n) | 33936 |
| Square | 1151719969 |
| Cube | 39085920587953 |
| Square root | 184.219977 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3937 × |
33937 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and thirty-seven |
| Binary (base 2) | 1000010010010001 |
| Octal (base 8) | 102221 |
| Hexadecimal (base 16) | 8491 |
| Base 3 | 1201112221 |
| As time | 33937 seconds = 9 h 25 min 37 s |
Is 33937 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 2) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 33937 a prime number?
Yes. 33937 is divisible only by 1 and itself.
What are the factors of 33937?
1, 33937.
What is 33937 in binary?
1000010010010001 (hexadecimal 8491, octal 102221).
What is the square root of 33937?
About 184.2200.
Is 33937 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33937?
33937 is the 3634th prime number.