The number 67542
67542 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 11257. Divisors (8): 1, 2, 3, 6, 11257, 22514, 33771, 67542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67542: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67542 is composite. Its prime factorisation is
- 3
The divisors add up to 135096; without 67542 itself that is 67554, so 67542 is abundant (67554 is more than 67542). Euler's totient φ(67542) = 22512 numbers up to 67542 share no factor with it.
- 4
The digits of 67542 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67542 = 2 \times 3 \times 11257 \]
67542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 135096 |
| Euler totient φ(n) | 22512 |
| Square | 4561921764 |
| Cube | 308121319784088 |
| Square root | 259.888438 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 6.7542 × |
67542 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and forty-two |
| Binary (base 2) | 10000011111010110 |
| Octal (base 8) | 203726 |
| Hexadecimal (base 16) | 107D6 |
| Base 3 | 10102122120 |
| As time | 67542 seconds = 18 h 45 min 42 s |
Is 67542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67542 ÷ 2 = 33771) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67542 ÷ 3 = 22514) | 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 (67542 ÷ 6 = 11257) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 67542 a prime number?
No. 67542 = 2 × 3 × 11257, so it is divisible by 2.
What are the factors of 67542?
1, 2, 3, 6, 11257, 22514, 33771, 67542.
What is 67542 in binary?
10000011111010110 (hexadecimal 107D6, octal 203726).
What is the square root of 67542?
About 259.8884.
Is 67542 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67542?
67542 is a happy number: repeatedly adding the squares of its digits reaches 1.