The number 3017
3017 is a composite number with 4 divisors. Its prime factorisation is 7 × 431. Divisors (4): 1, 7, 431, 3017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3017: a semiprime: 7 × 431, the product of two primes.
- 2
3017 is composite. Its prime factorisation is
- 3
The divisors add up to 3456; without 3017 itself that is 439, so 3017 is deficient (439 is less than 3017). Euler's totient φ(3017) = 2580 numbers up to 3017 share no factor with it.
- 4
The digits of 3017 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3017 = 7 \times 431 \]
3017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3456 |
| Euler totient φ(n) | 2580 |
| Square | 9102289 |
| Cube | 27461605913 |
| Square root | 54.927225 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 40 |
| Scientific notation | 3.017 × |
3017 in other forms
| Form | Value |
|---|---|
| In words | three thousand and seventeen |
| Roman numerals | MMMXVII |
| Binary (base 2) | 101111001001 |
| Octal (base 8) | 5711 |
| Hexadecimal (base 16) | BC9 |
| Base 3 | 11010202 |
| As time | 3017 seconds = 50 min 17 s |
Is 3017 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3017 ÷ 7 = 431) | 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 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3017 a prime number?
No. 3017 = 7 × 431, so it is divisible by 7.
What are the factors of 3017?
1, 7, 431, 3017.
What is 3017 in binary?
101111001001 (hexadecimal BC9, octal 5711).
What is the square root of 3017?
About 54.9272.
What is 3017 in Roman numerals?
MMMXVII.
Is 3017 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3017?
3017 is a semiprime: 7 × 431, the product of two primes.