The number 13455
13455 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 23. Divisors (24): 1, 3, 5, 9, 13, 15, 23, 39, 45, 65, 69, 115, 117, 195, 207, 299 … 13455.
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How to work it out
- 1
13455 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13455 is composite. Its prime factorisation is
- 3
The divisors add up to 26208; without 13455 itself that is 12753, so 13455 is deficient (12753 is less than 13455). Euler's totient φ(13455) = 6336 numbers up to 13455 share no factor with it.
- 4
The digits of 13455 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13455 = 3^{2} \times 5 \times 13 \times 23 \]13455 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 26208 |
| Euler totient φ(n) | 6336 |
| Square | 181037025 |
| Cube | 2435853171375 |
| Square root | 115.995690 (= 3√1495) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3455 × |
13455 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and fifty-five |
| Binary (base 2) | 11010010001111 |
| Octal (base 8) | 32217 |
| Hexadecimal (base 16) | 348F |
| Base 3 | 200110100 |
| As time | 13455 seconds = 3 h 44 min 15 s |
Is 13455 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 (13455 ÷ 3 = 4485) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13455 ÷ 5 = 2691) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13455 ÷ 9 = 1495) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13455 a prime number?
No. 13455 = × 5 × 13 × 23, so it is divisible by 3.
What are the factors of 13455?
1, 3, 5, 9, 13, 15, 23, 39, 45, 65, 69, 115, 117, 195, 207, 299, 345, 585, 897, 1035, 1495, 2691, 4485, 13455.
What is 13455 in binary?
11010010001111 (hexadecimal 348F, octal 32217).
What is the square root of 13455?
About 115.9957, exactly 3√1495.
Is 13455 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13455?
It is a composite number with 24 divisors.