The number 33649
33649 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 19 × 23. Divisors (16): 1, 7, 11, 19, 23, 77, 133, 161, 209, 253, 437, 1463, 1771, 3059, 4807, 33649.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33649 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33649 is composite. Its prime factorisation is
- 3
The divisors add up to 46080; without 33649 itself that is 12431, so 33649 is deficient (12431 is less than 33649). Euler's totient φ(33649) = 23760 numbers up to 33649 share no factor with it.
- 4
The digits of 33649 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33649 = 7 \times 11 \times 19 \times 23 \]
33649 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 46080 |
| Euler totient φ(n) | 23760 |
| Square | 1132255201 |
| Cube | 38099255258449 |
| Square root | 183.436638 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3649 × |
33649 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and forty-nine |
| Binary (base 2) | 1000001101110001 |
| Octal (base 8) | 101561 |
| Hexadecimal (base 16) | 8371 |
| Base 3 | 1201011021 |
| As time | 33649 seconds = 9 h 20 min 49 s |
Is 33649 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33649 ÷ 7 = 4807) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (33649 ÷ 11 = 3059) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33649 a prime number?
No. 33649 = 7 × 11 × 19 × 23, so it is divisible by 7.
What are the factors of 33649?
1, 7, 11, 19, 23, 77, 133, 161, 209, 253, 437, 1463, 1771, 3059, 4807, 33649.
What is 33649 in binary?
1000001101110001 (hexadecimal 8371, octal 101561).
What is the square root of 33649?
About 183.4366.
Is 33649 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33649?
It is a composite number with 16 divisors.