The number 175
175 is a composite number with 6 divisors. Its prime factorisation is × 7. Divisors (6): 1, 5, 7, 25, 35, 175.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
175 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
175 is composite. Its prime factorisation is
- 3
The divisors add up to 248; without 175 itself that is 73, so 175 is deficient (73 is less than 175). Euler's totient φ(175) = 120 numbers up to 175 share no factor with it.
- 4
The digits of 175 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 175 = 5^{2} \times 7 \]175 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 248 |
| Euler totient φ(n) | 120 |
| Square | 30625 |
| Cube | 5359375 |
| Square root | 13.228757 (= 5√7) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 80 |
| Scientific notation | 1.75 × |
175 in other forms
| Form | Value |
|---|---|
| In words | one hundred and seventy-five |
| Roman numerals | CLXXV |
| Binary (base 2) | 10101111 |
| Octal (base 8) | 257 |
| Hexadecimal (base 16) | AF |
| Base 3 | 20111 |
| As time | 175 seconds = 2 min 55 s |
Is 175 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (175 ÷ 5 = 35) | 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 (175 ÷ 7 = 25) | 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 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 175 a prime number?
No. 175 = × 7, so it is divisible by 5.
What are the factors of 175?
1, 5, 7, 25, 35, 175.
What is 175 in binary?
10101111 (hexadecimal AF, octal 257).
What is the square root of 175?
About 13.2288, exactly 5√7.
What is 175 in Roman numerals?
CLXXV.
Is 175 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 175?
It is a composite number with 6 divisors.