The number 13149
13149 is a composite number with 8 divisors. Its prime factorisation is × 487. Divisors (8): 1, 3, 9, 27, 487, 1461, 4383, 13149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13149 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13149 is composite. Its prime factorisation is
- 3
The divisors add up to 19520; without 13149 itself that is 6371, so 13149 is deficient (6371 is less than 13149). Euler's totient φ(13149) = 8748 numbers up to 13149 share no factor with it.
- 4
The digits of 13149 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13149 = 3^{3} \times 487 \]13149 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19520 |
| Euler totient φ(n) | 8748 |
| Square | 172896201 |
| Cube | 2273412146949 |
| Square root | 114.669089 (= 3√1461) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3149 × |
13149 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and forty-nine |
| Binary (base 2) | 11001101011101 |
| Octal (base 8) | 31535 |
| Hexadecimal (base 16) | 335D |
| Base 3 | 200001000 |
| As time | 13149 seconds = 3 h 39 min 9 s |
Is 13149 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 (13149 ÷ 3 = 4383) | 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 4) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13149 ÷ 9 = 1461) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 13149 a prime number?
No. 13149 = × 487, so it is divisible by 3.
What are the factors of 13149?
1, 3, 9, 27, 487, 1461, 4383, 13149.
What is 13149 in binary?
11001101011101 (hexadecimal 335D, octal 31535).
What is the square root of 13149?
About 114.6691, exactly 3√1461.
Is 13149 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13149?
It is a composite number with 8 divisors.