The number 17170
17170 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 17 × 101. Divisors (16): 1, 2, 5, 10, 17, 34, 85, 101, 170, 202, 505, 1010, 1717, 3434, 8585, 17170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17170: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17170 is composite. Its prime factorisation is
- 3
The divisors add up to 33048; without 17170 itself that is 15878, so 17170 is deficient (15878 is less than 17170). Euler's totient φ(17170) = 6400 numbers up to 17170 share no factor with it.
- 4
The digits of 17170 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17170 = 2 \times 5 \times 17 \times 101 \]
17170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 33048 |
| Euler totient φ(n) | 6400 |
| Square | 294808900 |
| Cube | 5061868813000 |
| Square root | 131.034347 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.717 × |
17170 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and seventy |
| Binary (base 2) | 100001100010010 |
| Octal (base 8) | 41422 |
| Hexadecimal (base 16) | 4312 |
| Base 3 | 212112221 |
| As time | 17170 seconds = 4 h 46 min 10 s |
Is 17170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17170 ÷ 2 = 8585) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17170 ÷ 5 = 3434) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17170 ÷ 10 = 1717) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17170 a prime number?
No. 17170 = 2 × 5 × 17 × 101, so it is divisible by 2.
What are the factors of 17170?
1, 2, 5, 10, 17, 34, 85, 101, 170, 202, 505, 1010, 1717, 3434, 8585, 17170.
What is 17170 in binary?
100001100010010 (hexadecimal 4312, octal 41422).
What is the square root of 17170?
About 131.0343.
Is 17170 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17170?
17170 is a happy number: repeatedly adding the squares of its digits reaches 1.