The number 3575
3575 is a composite number with 12 divisors. Its prime factorisation is × 11 × 13. Divisors (12): 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3575 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3575 is composite. Its prime factorisation is
- 3
The divisors add up to 5208; without 3575 itself that is 1633, so 3575 is deficient (1633 is less than 3575). Euler's totient φ(3575) = 2400 numbers up to 3575 share no factor with it.
- 4
The digits of 3575 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3575 = 5^{2} \times 11 \times 13 \]3575 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5208 |
| Euler totient φ(n) | 2400 |
| Square | 12780625 |
| Cube | 45690734375 |
| Square root | 59.791304 (= 5√143) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 48 |
| Scientific notation | 3.575 × |
3575 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and seventy-five |
| Roman numerals | MMMDLXXV |
| Binary (base 2) | 110111110111 |
| Octal (base 8) | 6767 |
| Hexadecimal (base 16) | DF7 |
| Base 3 | 11220102 |
| As time | 3575 seconds = 59 min 35 s |
Is 3575 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 2) | 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 (3575 ÷ 5 = 715) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 2) | 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 | Yes (3575 ÷ 11 = 325) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3575 a prime number?
No. 3575 = × 11 × 13, so it is divisible by 5.
What are the factors of 3575?
1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575.
What is 3575 in binary?
110111110111 (hexadecimal DF7, octal 6767).
What is the square root of 3575?
About 59.7913, exactly 5√143.
What is 3575 in Roman numerals?
MMMDLXXV.
Is 3575 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3575?
It is a composite number with 12 divisors.