The number 13175
13175 is a composite number with 12 divisors. Its prime factorisation is × 17 × 31. Divisors (12): 1, 5, 17, 25, 31, 85, 155, 425, 527, 775, 2635, 13175.
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How to work it out
- 1
What is special about 13175: a Harshad number: divisible by its digit sum 17.
- 2
13175 is composite. Its prime factorisation is
- 3
The divisors add up to 17856; without 13175 itself that is 4681, so 13175 is deficient (4681 is less than 13175). Euler's totient φ(13175) = 9600 numbers up to 13175 share no factor with it.
- 4
The digits of 13175 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13175 = 5^{2} \times 17 \times 31 \]13175 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17856 |
| Euler totient φ(n) | 9600 |
| Square | 173580625 |
| Cube | 2286924734375 |
| Square root | 114.782403 (= 5√527) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3175 × |
13175 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and seventy-five |
| Binary (base 2) | 11001101110111 |
| Octal (base 8) | 31567 |
| Hexadecimal (base 16) | 3377 |
| Base 3 | 200001222 |
| As time | 13175 seconds = 3 h 39 min 35 s |
Is 13175 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 (13175 ÷ 5 = 2635) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13175 a prime number?
No. 13175 = × 17 × 31, so it is divisible by 5.
What are the factors of 13175?
1, 5, 17, 25, 31, 85, 155, 425, 527, 775, 2635, 13175.
What is 13175 in binary?
11001101110111 (hexadecimal 3377, octal 31567).
What is the square root of 13175?
About 114.7824, exactly 5√527.
Is 13175 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13175?
13175 is a Harshad number: divisible by its digit sum 17.