The number 33669
33669 is a composite number with 16 divisors. Its prime factorisation is × 29 × 43. Divisors (16): 1, 3, 9, 27, 29, 43, 87, 129, 261, 387, 783, 1161, 1247, 3741, 11223, 33669.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33669: a Harshad number: divisible by its digit sum 27.
- 2
33669 is composite. Its prime factorisation is
- 3
The divisors add up to 52800; without 33669 itself that is 19131, so 33669 is deficient (19131 is less than 33669). Euler's totient φ(33669) = 21168 numbers up to 33669 share no factor with it.
- 4
The digits of 33669 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33669 = 3^{3} \times 29 \times 43 \]33669 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 52800 |
| Euler totient φ(n) | 21168 |
| Square | 1133601561 |
| Cube | 38167230957309 |
| Square root | 183.491144 (= 3√3741) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3669 × |
33669 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and sixty-nine |
| Binary (base 2) | 1000001110000101 |
| Octal (base 8) | 101605 |
| Hexadecimal (base 16) | 8385 |
| Base 3 | 1201012000 |
| As time | 33669 seconds = 9 h 21 min 9 s |
Is 33669 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33669 ÷ 3 = 11223) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33669 ÷ 9 = 3741) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33669 a prime number?
No. 33669 = × 29 × 43, so it is divisible by 3.
What are the factors of 33669?
1, 3, 9, 27, 29, 43, 87, 129, 261, 387, 783, 1161, 1247, 3741, 11223, 33669.
What is 33669 in binary?
1000001110000101 (hexadecimal 8385, octal 101605).
What is the square root of 33669?
About 183.4911, exactly 3√3741.
Is 33669 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33669?
33669 is a Harshad number: divisible by its digit sum 27.