The number 13494
13494 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 173. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 173, 346, 519, 1038, 2249, 4498, 6747, 13494.
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How to work it out
- 1
13494 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13494 is composite. Its prime factorisation is
- 3
The divisors add up to 29232; without 13494 itself that is 15738, so 13494 is abundant (15738 is more than 13494). Euler's totient φ(13494) = 4128 numbers up to 13494 share no factor with it.
- 4
The digits of 13494 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13494 = 2 \times 3 \times 13 \times 173 \]
13494 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29232 |
| Euler totient φ(n) | 4128 |
| Square | 182088036 |
| Cube | 2457095957784 |
| Square root | 116.163678 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3494 × |
13494 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and ninety-four |
| Binary (base 2) | 11010010110110 |
| Octal (base 8) | 32266 |
| Hexadecimal (base 16) | 34B6 |
| Base 3 | 200111210 |
| As time | 13494 seconds = 3 h 44 min 54 s |
Is 13494 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13494 ÷ 2 = 6747) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13494 ÷ 3 = 4498) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13494 ÷ 6 = 2249) | 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 3) | 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 8) | 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 13494 a prime number?
No. 13494 = 2 × 3 × 13 × 173, so it is divisible by 2.
What are the factors of 13494?
1, 2, 3, 6, 13, 26, 39, 78, 173, 346, 519, 1038, 2249, 4498, 6747, 13494.
What is 13494 in binary?
11010010110110 (hexadecimal 34B6, octal 32266).
What is the square root of 13494?
About 116.1637.
Is 13494 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13494?
It is a composite number with 16 divisors.