The number 33629
33629 is the 3604th prime number. Its only divisors are 1 and 33629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33629: the 3604th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33629 is prime, so its only factors are 1 and 33629. It is the 3604th prime; the next prime is 33637 and the one before is 33623.
- 3
The divisors add up to 33630; without 33629 itself that is 1, so 33629 is deficient (1 is less than 33629). Euler's totient φ(33629) = 33628 numbers up to 33629 share no factor with it.
- 4
The digits of 33629 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
33629 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33630 |
| Euler totient φ(n) | 33628 |
| Square | 1130909641 |
| Cube | 38031360317189 |
| Square root | 183.382115 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3629 × |
33629 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and twenty-nine |
| Binary (base 2) | 1000001101011101 |
| Octal (base 8) | 101535 |
| Hexadecimal (base 16) | 835D |
| Base 3 | 1201010112 |
| As time | 33629 seconds = 9 h 20 min 29 s |
Is 33629 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 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33629 a prime number?
Yes. 33629 is divisible only by 1 and itself.
What are the factors of 33629?
1, 33629.
What is 33629 in binary?
1000001101011101 (hexadecimal 835D, octal 101535).
What is the square root of 33629?
About 183.3821.
Is 33629 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33629?
33629 is the 3604th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.