The number 7170
7170 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 239. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7170: a Harshad number: divisible by its digit sum 15.
- 2
7170 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 7170 itself that is 10110, so 7170 is abundant (10110 is more than 7170). Euler's totient φ(7170) = 1904 numbers up to 7170 share no factor with it.
- 4
The digits of 7170 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7170 = 2 \times 3 \times 5 \times 239 \]
7170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 1904 |
| Square | 51408900 |
| Cube | 368601813000 |
| Square root | 84.675853 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 75 |
| Scientific notation | 7.17 × |
7170 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and seventy |
| Binary (base 2) | 1110000000010 |
| Octal (base 8) | 16002 |
| Hexadecimal (base 16) | 1C02 |
| Base 3 | 100211120 |
| As time | 7170 seconds = 1 h 59 min 30 s |
Is 7170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7170 ÷ 2 = 3585) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7170 ÷ 3 = 2390) | 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 (7170 ÷ 5 = 1434) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7170 ÷ 6 = 1195) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7170 ÷ 10 = 717) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7170 a prime number?
No. 7170 = 2 × 3 × 5 × 239, so it is divisible by 2.
What are the factors of 7170?
1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170.
What is 7170 in binary?
1110000000010 (hexadecimal 1C02, octal 16002).
What is the square root of 7170?
About 84.6759.
Is 7170 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7170?
7170 is a Harshad number: divisible by its digit sum 15.