The number 13506
13506 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2251. Divisors (8): 1, 2, 3, 6, 2251, 4502, 6753, 13506.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13506 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13506 is composite. Its prime factorisation is
- 3
The divisors add up to 27024; without 13506 itself that is 13518, so 13506 is abundant (13518 is more than 13506). Euler's totient φ(13506) = 4500 numbers up to 13506 share no factor with it.
- 4
The digits of 13506 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13506 = 2 \times 3 \times 2251 \]
13506 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27024 |
| Euler totient φ(n) | 4500 |
| Square | 182412036 |
| Cube | 2463656958216 |
| Square root | 116.215317 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3506 × |
13506 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and six |
| Binary (base 2) | 11010011000010 |
| Octal (base 8) | 32302 |
| Hexadecimal (base 16) | 34C2 |
| Base 3 | 200112020 |
| As time | 13506 seconds = 3 h 45 min 6 s |
Is 13506 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13506 ÷ 2 = 6753) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13506 ÷ 3 = 4502) | 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 (13506 ÷ 6 = 2251) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 13506 a prime number?
No. 13506 = 2 × 3 × 2251, so it is divisible by 2.
What are the factors of 13506?
1, 2, 3, 6, 2251, 4502, 6753, 13506.
What is 13506 in binary?
11010011000010 (hexadecimal 34C2, octal 32302).
What is the square root of 13506?
About 116.2153.
Is 13506 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13506?
It is a composite number with 8 divisors.