The number 13026
13026 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 167. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 167, 334, 501, 1002, 2171, 4342, 6513, 13026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13026 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13026 is composite. Its prime factorisation is
- 3
The divisors add up to 28224; without 13026 itself that is 15198, so 13026 is abundant (15198 is more than 13026). Euler's totient φ(13026) = 3984 numbers up to 13026 share no factor with it.
- 4
The digits of 13026 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13026 = 2 \times 3 \times 13 \times 167 \]
13026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28224 |
| Euler totient φ(n) | 3984 |
| Square | 169676676 |
| Cube | 2210208381576 |
| Square root | 114.131503 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3026 × |
13026 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and twenty-six |
| Binary (base 2) | 11001011100010 |
| Octal (base 8) | 31342 |
| Hexadecimal (base 16) | 32E2 |
| Base 3 | 122212110 |
| As time | 13026 seconds = 3 h 37 min 6 s |
Is 13026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13026 ÷ 2 = 6513) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13026 ÷ 3 = 4342) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13026 ÷ 6 = 2171) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 2) | 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 13026 a prime number?
No. 13026 = 2 × 3 × 13 × 167, so it is divisible by 2.
What are the factors of 13026?
1, 2, 3, 6, 13, 26, 39, 78, 167, 334, 501, 1002, 2171, 4342, 6513, 13026.
What is 13026 in binary?
11001011100010 (hexadecimal 32E2, octal 31342).
What is the square root of 13026?
About 114.1315.
Is 13026 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13026?
It is a composite number with 16 divisors.