The number 33134
33134 is a composite number with 4 divisors. Its prime factorisation is 2 × 16567. Divisors (4): 1, 2, 16567, 33134.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33134: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16567, the product of two primes.
- 2
33134 is composite. Its prime factorisation is
- 3
The divisors add up to 49704; without 33134 itself that is 16570, so 33134 is deficient (16570 is less than 33134). Euler's totient φ(33134) = 16566 numbers up to 33134 share no factor with it.
- 4
The digits of 33134 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33134 = 2 \times 16567 \]
33134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49704 |
| Euler totient φ(n) | 16566 |
| Square | 1097861956 |
| Cube | 36376558050104 |
| Square root | 182.027470 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3134 × |
33134 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and thirty-four |
| Binary (base 2) | 1000000101101110 |
| Octal (base 8) | 100556 |
| Hexadecimal (base 16) | 816E |
| Base 3 | 1200110012 |
| As time | 33134 seconds = 9 h 12 min 14 s |
Is 33134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33134 ÷ 2 = 16567) | 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 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33134 a prime number?
No. 33134 = 2 × 16567, so it is divisible by 2.
What are the factors of 33134?
1, 2, 16567, 33134.
What is 33134 in binary?
1000000101101110 (hexadecimal 816E, octal 100556).
What is the square root of 33134?
About 182.0275.
Is 33134 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33134?
33134 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16567, the product of two primes.