The number 13542
13542 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 37 × 61. Divisors (16): 1, 2, 3, 6, 37, 61, 74, 111, 122, 183, 222, 366, 2257, 4514, 6771, 13542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13542 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13542 is composite. Its prime factorisation is
- 3
The divisors add up to 28272; without 13542 itself that is 14730, so 13542 is abundant (14730 is more than 13542). Euler's totient φ(13542) = 4320 numbers up to 13542 share no factor with it.
- 4
The digits of 13542 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13542 = 2 \times 3 \times 37 \times 61 \]
13542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28272 |
| Euler totient φ(n) | 4320 |
| Square | 183385764 |
| Cube | 2483410016088 |
| Square root | 116.370099 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3542 × |
13542 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and forty-two |
| Binary (base 2) | 11010011100110 |
| Octal (base 8) | 32346 |
| Hexadecimal (base 16) | 34E6 |
| Base 3 | 200120120 |
| As time | 13542 seconds = 3 h 45 min 42 s |
Is 13542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13542 ÷ 2 = 6771) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13542 ÷ 3 = 4514) | 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 (13542 ÷ 6 = 2257) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 1) | 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 13542 a prime number?
No. 13542 = 2 × 3 × 37 × 61, so it is divisible by 2.
What are the factors of 13542?
1, 2, 3, 6, 37, 61, 74, 111, 122, 183, 222, 366, 2257, 4514, 6771, 13542.
What is 13542 in binary?
11010011100110 (hexadecimal 34E6, octal 32346).
What is the square root of 13542?
About 116.3701.
Is 13542 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13542?
It is a composite number with 16 divisors.