The number 13550
13550 is a composite number with 12 divisors. Its prime factorisation is 2 × × 271. Divisors (12): 1, 2, 5, 10, 25, 50, 271, 542, 1355, 2710, 6775, 13550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13550 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13550 is composite. Its prime factorisation is
- 3
The divisors add up to 25296; without 13550 itself that is 11746, so 13550 is deficient (11746 is less than 13550). Euler's totient φ(13550) = 5400 numbers up to 13550 share no factor with it.
- 4
The digits of 13550 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13550 = 2 \times 5^{2} \times 271 \]13550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25296 |
| Euler totient φ(n) | 5400 |
| Square | 183602500 |
| Cube | 2487813875000 |
| Square root | 116.404467 (= 5√542) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.355 × |
13550 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and fifty |
| Binary (base 2) | 11010011101110 |
| Octal (base 8) | 32356 |
| Hexadecimal (base 16) | 34EE |
| Base 3 | 200120212 |
| As time | 13550 seconds = 3 h 45 min 50 s |
Is 13550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13550 ÷ 2 = 6775) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13550 ÷ 5 = 2710) | 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 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13550 ÷ 10 = 1355) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13550 a prime number?
No. 13550 = 2 × × 271, so it is divisible by 2.
What are the factors of 13550?
1, 2, 5, 10, 25, 50, 271, 542, 1355, 2710, 6775, 13550.
What is 13550 in binary?
11010011101110 (hexadecimal 34EE, octal 32356).
What is the square root of 13550?
About 116.4045, exactly 5√542.
Is 13550 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13550?
It is a composite number with 12 divisors.