The number 33613
33613 is the 3600th prime number. Its only divisors are 1 and 33613.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33613: the 3600th prime number.
- 2
33613 is prime, so its only factors are 1 and 33613. It is the 3600th prime; the next prime is 33617 and the one before is 33601.
- 3
The divisors add up to 33614; without 33613 itself that is 1, so 33613 is deficient (1 is less than 33613). Euler's totient φ(33613) = 33612 numbers up to 33613 share no factor with it.
- 4
The digits of 33613 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 67 steps to reach 1.
33613 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33614 |
| Euler totient φ(n) | 33612 |
| Square | 1129833769 |
| Cube | 37977102477397 |
| Square root | 183.338485 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3613 × |
33613 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and thirteen |
| Binary (base 2) | 1000001101001101 |
| Octal (base 8) | 101515 |
| Hexadecimal (base 16) | 834D |
| Base 3 | 1201002221 |
| As time | 33613 seconds = 9 h 20 min 13 s |
Is 33613 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 3) | 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 6) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 33613 a prime number?
Yes. 33613 is divisible only by 1 and itself.
What are the factors of 33613?
1, 33613.
What is 33613 in binary?
1000001101001101 (hexadecimal 834D, octal 101515).
What is the square root of 33613?
About 183.3385.
Is 33613 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33613?
33613 is the 3600th prime number.