The number 35505
35505 is a composite number with 16 divisors. Its prime factorisation is × 5 × 263. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 263, 789, 1315, 2367, 3945, 7101, 11835, 35505.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35505 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35505 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 35505 itself that is 27855, so 35505 is deficient (27855 is less than 35505). Euler's totient φ(35505) = 18864 numbers up to 35505 share no factor with it.
- 4
The digits of 35505 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35505 = 3^{3} \times 5 \times 263 \]35505 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 18864 |
| Square | 1260605025 |
| Cube | 44757781412625 |
| Square root | 188.427705 (= 3√3945) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.5505 × |
35505 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand five hundred and five |
| Binary (base 2) | 1000101010110001 |
| Octal (base 8) | 105261 |
| Hexadecimal (base 16) | 8AB1 |
| Base 3 | 1210201000 |
| As time | 35505 seconds = 9 h 51 min 45 s |
Is 35505 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 (35505 ÷ 3 = 11835) | 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 | Yes (35505 ÷ 5 = 7101) | 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 1) | 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 (35505 ÷ 9 = 3945) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 35505 a prime number?
No. 35505 = × 5 × 263, so it is divisible by 3.
What are the factors of 35505?
1, 3, 5, 9, 15, 27, 45, 135, 263, 789, 1315, 2367, 3945, 7101, 11835, 35505.
What is 35505 in binary?
1000101010110001 (hexadecimal 8AB1, octal 105261).
What is the square root of 35505?
About 188.4277, exactly 3√3945.
Is 35505 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 35505?
It is a composite number with 16 divisors.