The number 33908
33908 is a composite number with 18 divisors. Its prime factorisation is × × 173. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 173, 196, 346, 692, 1211, 2422, 4844, 8477 … 33908.
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How to work it out
- 1
33908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33908 is composite. Its prime factorisation is
- 3
The divisors add up to 69426; without 33908 itself that is 35518, so 33908 is abundant (35518 is more than 33908). Euler's totient φ(33908) = 14448 numbers up to 33908 share no factor with it.
- 4
The digits of 33908 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33908 = 2^{2} \times 7^{2} \times 173 \]33908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 69426 |
| Euler totient φ(n) | 14448 |
| Square | 1149752464 |
| Cube | 38985806549312 |
| Square root | 184.141250 (= 14√173) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3908 × |
33908 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and eight |
| Binary (base 2) | 1000010001110100 |
| Octal (base 8) | 102164 |
| Hexadecimal (base 16) | 8474 |
| Base 3 | 1201111212 |
| As time | 33908 seconds = 9 h 25 min 8 s |
Is 33908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33908 ÷ 2 = 16954) | 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 | Yes (33908 ÷ 4 = 8477) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (33908 ÷ 7 = 4844) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33908 a prime number?
No. 33908 = × × 173, so it is divisible by 2.
What are the factors of 33908?
1, 2, 4, 7, 14, 28, 49, 98, 173, 196, 346, 692, 1211, 2422, 4844, 8477, 16954, 33908.
What is 33908 in binary?
1000010001110100 (hexadecimal 8474, octal 102164).
What is the square root of 33908?
About 184.1413, exactly 14√173.
Is 33908 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33908?
It is a composite number with 18 divisors.