The number 35649
35649 is a composite number with 12 divisors. Its prime factorisation is × 17 × 233. Divisors (12): 1, 3, 9, 17, 51, 153, 233, 699, 2097, 3961, 11883, 35649.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35649: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35649 is composite. Its prime factorisation is
- 3
The divisors add up to 54756; without 35649 itself that is 19107, so 35649 is deficient (19107 is less than 35649). Euler's totient φ(35649) = 22272 numbers up to 35649 share no factor with it.
- 4
The digits of 35649 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35649 = 3^{2} \times 17 \times 233 \]35649 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54756 |
| Euler totient φ(n) | 22272 |
| Square | 1270851201 |
| Cube | 45304574464449 |
| Square root | 188.809428 (= 3√3961) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5649 × |
35649 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand six hundred and forty-nine |
| Binary (base 2) | 1000101101000001 |
| Octal (base 8) | 105501 |
| Hexadecimal (base 16) | 8B41 |
| Base 3 | 1210220100 |
| As time | 35649 seconds = 9 h 54 min 9 s |
Is 35649 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 (35649 ÷ 3 = 11883) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (35649 ÷ 9 = 3961) | 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 35649 a prime number?
No. 35649 = × 17 × 233, so it is divisible by 3.
What are the factors of 35649?
1, 3, 9, 17, 51, 153, 233, 699, 2097, 3961, 11883, 35649.
What is 35649 in binary?
1000101101000001 (hexadecimal 8B41, octal 105501).
What is the square root of 35649?
About 188.8094, exactly 3√3961.
Is 35649 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 35649?
35649 is a happy number: repeatedly adding the squares of its digits reaches 1.