The number 13144
13144 is a composite number with 16 divisors. Its prime factorisation is × 31 × 53. Divisors (16): 1, 2, 4, 8, 31, 53, 62, 106, 124, 212, 248, 424, 1643, 3286, 6572, 13144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13144 is composite. Its prime factorisation is
- 3
The divisors add up to 25920; without 13144 itself that is 12776, so 13144 is deficient (12776 is less than 13144). Euler's totient φ(13144) = 6240 numbers up to 13144 share no factor with it.
- 4
The digits of 13144 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13144 = 2^{3} \times 31 \times 53 \]13144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25920 |
| Euler totient φ(n) | 6240 |
| Square | 172764736 |
| Cube | 2270819689984 |
| Square root | 114.647285 (= 2√3286) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3144 × |
13144 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and forty-four |
| Binary (base 2) | 11001101011000 |
| Octal (base 8) | 31530 |
| Hexadecimal (base 16) | 3358 |
| Base 3 | 200000211 |
| As time | 13144 seconds = 3 h 39 min 4 s |
Is 13144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13144 ÷ 2 = 6572) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13144 ÷ 4 = 3286) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (13144 ÷ 8 = 1643) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13144 a prime number?
No. 13144 = × 31 × 53, so it is divisible by 2.
What are the factors of 13144?
1, 2, 4, 8, 31, 53, 62, 106, 124, 212, 248, 424, 1643, 3286, 6572, 13144.
What is 13144 in binary?
11001101011000 (hexadecimal 3358, octal 31530).
What is the square root of 13144?
About 114.6473, exactly 2√3286.
Is 13144 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13144?
It is a composite number with 16 divisors.