The number 13242
13242 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2207. Divisors (8): 1, 2, 3, 6, 2207, 4414, 6621, 13242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13242 is composite. Its prime factorisation is
- 3
The divisors add up to 26496; without 13242 itself that is 13254, so 13242 is abundant (13254 is more than 13242). Euler's totient φ(13242) = 4412 numbers up to 13242 share no factor with it.
- 4
The digits of 13242 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13242 = 2 \times 3 \times 2207 \]
13242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26496 |
| Euler totient φ(n) | 4412 |
| Square | 175350564 |
| Cube | 2321992168488 |
| Square root | 115.073889 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3242 × |
13242 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and forty-two |
| Binary (base 2) | 11001110111010 |
| Octal (base 8) | 31672 |
| Hexadecimal (base 16) | 33BA |
| Base 3 | 200011110 |
| As time | 13242 seconds = 3 h 40 min 42 s |
Is 13242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13242 ÷ 2 = 6621) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13242 ÷ 3 = 4414) | 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 (13242 ÷ 6 = 2207) | 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 2) | 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 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13242 a prime number?
No. 13242 = 2 × 3 × 2207, so it is divisible by 2.
What are the factors of 13242?
1, 2, 3, 6, 2207, 4414, 6621, 13242.
What is 13242 in binary?
11001110111010 (hexadecimal 33BA, octal 31672).
What is the square root of 13242?
About 115.0739.
Is 13242 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13242?
It is a composite number with 8 divisors.