The number 33108
33108 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 89. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 89, 93, 124, 178, 186, 267, 356, 372 … 33108.
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How to work it out
- 1
33108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33108 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 33108 itself that is 47532, so 33108 is abundant (47532 is more than 33108). Euler's totient φ(33108) = 10560 numbers up to 33108 share no factor with it.
- 4
The digits of 33108 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33108 = 2^{2} \times 3 \times 31 \times 89 \]33108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 10560 |
| Square | 1096139664 |
| Cube | 36290991995712 |
| Square root | 181.956039 (= 2√8277) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3108 × |
33108 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and eight |
| Binary (base 2) | 1000000101010100 |
| Octal (base 8) | 100524 |
| Hexadecimal (base 16) | 8154 |
| Base 3 | 1200102020 |
| As time | 33108 seconds = 9 h 11 min 48 s |
Is 33108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33108 ÷ 2 = 16554) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33108 ÷ 3 = 11036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33108 ÷ 4 = 8277) | 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 | Yes (33108 ÷ 6 = 5518) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33108 ÷ 12 = 2759) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33108 a prime number?
No. 33108 = × 3 × 31 × 89, so it is divisible by 2.
What are the factors of 33108?
1, 2, 3, 4, 6, 12, 31, 62, 89, 93, 124, 178, 186, 267, 356, 372, 534, 1068, 2759, 5518, 8277, 11036, 16554, 33108.
What is 33108 in binary?
1000000101010100 (hexadecimal 8154, octal 100524).
What is the square root of 33108?
About 181.9560, exactly 2√8277.
Is 33108 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33108?
It is a composite number with 24 divisors.