The number 17875
17875 is a composite number with 16 divisors. Its prime factorisation is × 11 × 13. Divisors (16): 1, 5, 11, 13, 25, 55, 65, 125, 143, 275, 325, 715, 1375, 1625, 3575, 17875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17875: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17875 is composite. Its prime factorisation is
- 3
The divisors add up to 26208; without 17875 itself that is 8333, so 17875 is deficient (8333 is less than 17875). Euler's totient φ(17875) = 12000 numbers up to 17875 share no factor with it.
- 4
The digits of 17875 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17875 = 5^{3} \times 11 \times 13 \]17875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 26208 |
| Euler totient φ(n) | 12000 |
| Square | 319515625 |
| Cube | 5711341796875 |
| Square root | 133.697420 (= 5√715) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.7875 × |
17875 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand eight hundred and seventy-five |
| Binary (base 2) | 100010111010011 |
| Octal (base 8) | 42723 |
| Hexadecimal (base 16) | 45D3 |
| Base 3 | 220112001 |
| As time | 17875 seconds = 4 h 57 min 55 s |
Is 17875 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 (17875 ÷ 5 = 3575) | 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 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 (17875 ÷ 11 = 1625) | 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 17875 a prime number?
No. 17875 = × 11 × 13, so it is divisible by 5.
What are the factors of 17875?
1, 5, 11, 13, 25, 55, 65, 125, 143, 275, 325, 715, 1375, 1625, 3575, 17875.
What is 17875 in binary?
100010111010011 (hexadecimal 45D3, octal 42723).
What is the square root of 17875?
About 133.6974, exactly 5√715.
Is 17875 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 17875?
17875 is a happy number: repeatedly adding the squares of its digits reaches 1.