The number 33601
33601 is a twin prime (33599 and 33601 are both prime) and the 3599th prime number. Its only divisors are 1 and 33601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33601: a twin prime (33599 and 33601 are both prime); the 3599th prime number.
- 2
33601 is prime, so its only factors are 1 and 33601. It is the 3599th prime; the next prime is 33613 and the one before is 33599.
- 3
The divisors add up to 33602; without 33601 itself that is 1, so 33601 is deficient (1 is less than 33601). Euler's totient φ(33601) = 33600 numbers up to 33601 share no factor with it.
- 4
The digits of 33601 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
33601 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33602 |
| Euler totient φ(n) | 33600 |
| Square | 1129027201 |
| Cube | 37936442980801 |
| Square root | 183.305756 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3601 × |
33601 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and one |
| Binary (base 2) | 1000001101000001 |
| Octal (base 8) | 101501 |
| Hexadecimal (base 16) | 8341 |
| Base 3 | 1201002111 |
| As time | 33601 seconds = 9 h 20 min 1 s |
Is 33601 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 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 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 7) | 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 33601 a prime number?
Yes. 33601 is divisible only by 1 and itself.
What are the factors of 33601?
1, 33601.
What is 33601 in binary?
1000001101000001 (hexadecimal 8341, octal 101501).
What is the square root of 33601?
About 183.3058.
Is 33601 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33601?
33601 is a twin prime (33599 and 33601 are both prime); the 3599th prime number.