The number 42567
42567 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2027. Divisors (8): 1, 3, 7, 21, 2027, 6081, 14189, 42567.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42567: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42567 is composite. Its prime factorisation is
- 3
The divisors add up to 64896; without 42567 itself that is 22329, so 42567 is deficient (22329 is less than 42567). Euler's totient φ(42567) = 24312 numbers up to 42567 share no factor with it.
- 4
The digits of 42567 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42567 = 3 \times 7 \times 2027 \]
42567 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64896 |
| Euler totient φ(n) | 24312 |
| Square | 1811949489 |
| Cube | 77129253898263 |
| Square root | 206.317716 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2567 × |
42567 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and sixty-seven |
| Binary (base 2) | 1010011001000111 |
| Octal (base 8) | 123107 |
| Hexadecimal (base 16) | A647 |
| Base 3 | 2011101120 |
| As time | 42567 seconds = 11 h 49 min 27 s |
Is 42567 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42567 ÷ 3 = 14189) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42567 ÷ 7 = 6081) | 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 7) | 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 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42567 a prime number?
No. 42567 = 3 × 7 × 2027, so it is divisible by 3.
What are the factors of 42567?
1, 3, 7, 21, 2027, 6081, 14189, 42567.
What is 42567 in binary?
1010011001000111 (hexadecimal A647, octal 123107).
What is the square root of 42567?
About 206.3177.
Is 42567 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42567?
42567 is a happy number: repeatedly adding the squares of its digits reaches 1.