The number 35775
35775 is a composite number with 24 divisors. Its prime factorisation is × × 53. Divisors (24): 1, 3, 5, 9, 15, 25, 27, 45, 53, 75, 135, 159, 225, 265, 477, 675 … 35775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35775: a Harshad number: divisible by its digit sum 27.
- 2
35775 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 35775 itself that is 31185, so 35775 is deficient (31185 is less than 35775). Euler's totient φ(35775) = 18720 numbers up to 35775 share no factor with it.
- 4
The digits of 35775 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35775 = 3^{3} \times 5^{2} \times 53 \]35775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 18720 |
| Square | 1279850625 |
| Cube | 45786656109375 |
| Square root | 189.142803 (= 15√159) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.5775 × |
35775 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and seventy-five |
| Binary (base 2) | 1000101110111111 |
| Octal (base 8) | 105677 |
| Hexadecimal (base 16) | 8BBF |
| Base 3 | 1211002000 |
| As time | 35775 seconds = 9 h 56 min 15 s |
Is 35775 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 (35775 ÷ 3 = 11925) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35775 ÷ 5 = 7155) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (35775 ÷ 9 = 3975) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35775 a prime number?
No. 35775 = × × 53, so it is divisible by 3.
What are the factors of 35775?
1, 3, 5, 9, 15, 25, 27, 45, 53, 75, 135, 159, 225, 265, 477, 675, 795, 1325, 1431, 2385, 3975, 7155, 11925, 35775.
What is 35775 in binary?
1000101110111111 (hexadecimal 8BBF, octal 105677).
What is the square root of 35775?
About 189.1428, exactly 15√159.
Is 35775 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 35775?
35775 is a Harshad number: divisible by its digit sum 27.