The number 13016
13016 is a composite number with 8 divisors. Its prime factorisation is × 1627. Divisors (8): 1, 2, 4, 8, 1627, 3254, 6508, 13016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13016 is composite. Its prime factorisation is
- 3
The divisors add up to 24420; without 13016 itself that is 11404, so 13016 is deficient (11404 is less than 13016). Euler's totient φ(13016) = 6504 numbers up to 13016 share no factor with it.
- 4
The digits of 13016 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13016 = 2^{3} \times 1627 \]13016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24420 |
| Euler totient φ(n) | 6504 |
| Square | 169416256 |
| Cube | 2205121988096 |
| Square root | 114.087686 (= 2√3254) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3016 × |
13016 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and sixteen |
| Binary (base 2) | 11001011011000 |
| Octal (base 8) | 31330 |
| Hexadecimal (base 16) | 32D8 |
| Base 3 | 122212002 |
| As time | 13016 seconds = 3 h 36 min 56 s |
Is 13016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13016 ÷ 2 = 6508) | 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 | Yes (13016 ÷ 4 = 3254) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (13016 ÷ 8 = 1627) | 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 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13016 a prime number?
No. 13016 = × 1627, so it is divisible by 2.
What are the factors of 13016?
1, 2, 4, 8, 1627, 3254, 6508, 13016.
What is 13016 in binary?
11001011011000 (hexadecimal 32D8, octal 31330).
What is the square root of 13016?
About 114.0877, exactly 2√3254.
Is 13016 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13016?
It is a composite number with 8 divisors.