The number 33674
33674 is a composite number with 8 divisors. Its prime factorisation is 2 × 113 × 149. Divisors (8): 1, 2, 113, 149, 226, 298, 16837, 33674.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33674 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33674 is composite. Its prime factorisation is
- 3
The divisors add up to 51300; without 33674 itself that is 17626, so 33674 is deficient (17626 is less than 33674). Euler's totient φ(33674) = 16576 numbers up to 33674 share no factor with it.
- 4
The digits of 33674 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33674 = 2 \times 113 \times 149 \]
33674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51300 |
| Euler totient φ(n) | 16576 |
| Square | 1133938276 |
| Cube | 38184237506024 |
| Square root | 183.504768 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.3674 × |
33674 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and seventy-four |
| Binary (base 2) | 1000001110001010 |
| Octal (base 8) | 101612 |
| Hexadecimal (base 16) | 838A |
| Base 3 | 1201012012 |
| As time | 33674 seconds = 9 h 21 min 14 s |
Is 33674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33674 ÷ 2 = 16837) | 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 4) | 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 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 3) | 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 33674 a prime number?
No. 33674 = 2 × 113 × 149, so it is divisible by 2.
What are the factors of 33674?
1, 2, 113, 149, 226, 298, 16837, 33674.
What is 33674 in binary?
1000001110001010 (hexadecimal 838A, octal 101612).
What is the square root of 33674?
About 183.5048.
Is 33674 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33674?
It is a composite number with 8 divisors.