The number 33037
33037 is the 3542nd prime number. Its only divisors are 1 and 33037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33037: the 3542nd prime number.
- 2
33037 is prime, so its only factors are 1 and 33037. It is the 3542nd prime; the next prime is 33049 and the one before is 33029.
- 3
The divisors add up to 33038; without 33037 itself that is 1, so 33037 is deficient (1 is less than 33037). Euler's totient φ(33037) = 33036 numbers up to 33037 share no factor with it.
- 4
The digits of 33037 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 191 steps to reach 1.
33037 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33038 |
| Euler totient φ(n) | 33036 |
| Square | 1091443369 |
| Cube | 36058014581653 |
| Square root | 181.760832 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.3037 × |
33037 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and thirty-seven |
| Binary (base 2) | 1000000100001101 |
| Octal (base 8) | 100415 |
| Hexadecimal (base 16) | 810D |
| Base 3 | 1200022121 |
| As time | 33037 seconds = 9 h 10 min 37 s |
Is 33037 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 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 5) | 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 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 33037 a prime number?
Yes. 33037 is divisible only by 1 and itself.
What are the factors of 33037?
1, 33037.
What is 33037 in binary?
1000000100001101 (hexadecimal 810D, octal 100415).
What is the square root of 33037?
About 181.7608.
Is 33037 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33037?
33037 is the 3542nd prime number.