The number 13017
13017 is a composite number with 4 divisors. Its prime factorisation is 3 × 4339. Divisors (4): 1, 3, 4339, 13017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13017: a semiprime: 3 × 4339, the product of two primes.
- 2
13017 is composite. Its prime factorisation is
- 3
The divisors add up to 17360; without 13017 itself that is 4343, so 13017 is deficient (4343 is less than 13017). Euler's totient φ(13017) = 8676 numbers up to 13017 share no factor with it.
- 4
The digits of 13017 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13017 = 3 \times 4339 \]
13017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17360 |
| Euler totient φ(n) | 8676 |
| Square | 169442289 |
| Cube | 2205630275913 |
| Square root | 114.092068 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3017 × |
13017 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and seventeen |
| Binary (base 2) | 11001011011001 |
| Octal (base 8) | 31331 |
| Hexadecimal (base 16) | 32D9 |
| Base 3 | 122212010 |
| As time | 13017 seconds = 3 h 36 min 57 s |
Is 13017 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 (13017 ÷ 3 = 4339) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | 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 13017 a prime number?
No. 13017 = 3 × 4339, so it is divisible by 3.
What are the factors of 13017?
1, 3, 4339, 13017.
What is 13017 in binary?
11001011011001 (hexadecimal 32D9, octal 31331).
What is the square root of 13017?
About 114.0921.
Is 13017 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13017?
13017 is a semiprime: 3 × 4339, the product of two primes.