The number 7017
7017 is a composite number with 4 divisors. Its prime factorisation is 3 × 2339. Divisors (4): 1, 3, 2339, 7017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7017: a semiprime: 3 × 2339, the product of two primes.
- 2
7017 is composite. Its prime factorisation is
- 3
The divisors add up to 9360; without 7017 itself that is 2343, so 7017 is deficient (2343 is less than 7017). Euler's totient φ(7017) = 4676 numbers up to 7017 share no factor with it.
- 4
The digits of 7017 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 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7017 = 3 \times 2339 \]
7017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9360 |
| Euler totient φ(n) | 4676 |
| Square | 49238289 |
| Cube | 345505073913 |
| Square root | 83.767535 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 194 |
| Scientific notation | 7.017 × |
7017 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and seventeen |
| Binary (base 2) | 1101101101001 |
| Octal (base 8) | 15551 |
| Hexadecimal (base 16) | 1B69 |
| Base 3 | 100121220 |
| As time | 7017 seconds = 1 h 56 min 57 s |
Is 7017 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 | Yes (7017 ÷ 3 = 2339) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7017 a prime number?
No. 7017 = 3 × 2339, so it is divisible by 3.
What are the factors of 7017?
1, 3, 2339, 7017.
What is 7017 in binary?
1101101101001 (hexadecimal 1B69, octal 15551).
What is the square root of 7017?
About 83.7675.
Is 7017 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7017?
7017 is a semiprime: 3 × 2339, the product of two primes.