The number 13482
13482 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 107. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 107, 126, 214, 321, 642 … 13482.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13482: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
13482 is composite. Its prime factorisation is
- 3
The divisors add up to 33696; without 13482 itself that is 20214, so 13482 is abundant (20214 is more than 13482). Euler's totient φ(13482) = 3816 numbers up to 13482 share no factor with it.
- 4
The digits of 13482 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13482 = 2 \times 3^{2} \times 7 \times 107 \]13482 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 33696 |
| Euler totient φ(n) | 3816 |
| Square | 181764324 |
| Cube | 2450546616168 |
| Square root | 116.112015 (= 3√1498) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3482 × |
13482 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and eighty-two |
| Binary (base 2) | 11010010101010 |
| Octal (base 8) | 32252 |
| Hexadecimal (base 16) | 34AA |
| Base 3 | 200111100 |
| As time | 13482 seconds = 3 h 44 min 42 s |
Is 13482 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13482 ÷ 2 = 6741) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13482 ÷ 3 = 4494) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13482 ÷ 6 = 2247) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13482 ÷ 7 = 1926) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13482 ÷ 9 = 1498) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 13482 a prime number?
No. 13482 = 2 × × 7 × 107, so it is divisible by 2.
What are the factors of 13482?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 107, 126, 214, 321, 642, 749, 963, 1498, 1926, 2247, 4494, 6741, 13482.
What is 13482 in binary?
11010010101010 (hexadecimal 34AA, octal 32252).
What is the square root of 13482?
About 116.1120, exactly 3√1498.
Is 13482 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13482?
13482 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.