The number 33634
33634 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 251. Divisors (8): 1, 2, 67, 134, 251, 502, 16817, 33634.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33634: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33634 is composite. Its prime factorisation is
- 3
The divisors add up to 51408; without 33634 itself that is 17774, so 33634 is deficient (17774 is less than 33634). Euler's totient φ(33634) = 16500 numbers up to 33634 share no factor with it.
- 4
The digits of 33634 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33634 = 2 \times 67 \times 251 \]
33634 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51408 |
| Euler totient φ(n) | 16500 |
| Square | 1131245956 |
| Cube | 38048326484104 |
| Square root | 183.395747 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3634 × |
33634 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and thirty-four |
| Binary (base 2) | 1000001101100010 |
| Octal (base 8) | 101542 |
| Hexadecimal (base 16) | 8362 |
| Base 3 | 1201010201 |
| As time | 33634 seconds = 9 h 20 min 34 s |
Is 33634 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33634 ÷ 2 = 16817) | 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 2) | 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 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33634 a prime number?
No. 33634 = 2 × 67 × 251, so it is divisible by 2.
What are the factors of 33634?
1, 2, 67, 134, 251, 502, 16817, 33634.
What is 33634 in binary?
1000001101100010 (hexadecimal 8362, octal 101542).
What is the square root of 33634?
About 183.3957.
Is 33634 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33634?
33634 is a happy number: repeatedly adding the squares of its digits reaches 1.