The number 67887
67887 is a composite number with 12 divisors. Its prime factorisation is × 19 × 397. Divisors (12): 1, 3, 9, 19, 57, 171, 397, 1191, 3573, 7543, 22629, 67887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67887: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67887 is composite. Its prime factorisation is
- 3
The divisors add up to 103480; without 67887 itself that is 35593, so 67887 is deficient (35593 is less than 67887). Euler's totient φ(67887) = 42768 numbers up to 67887 share no factor with it.
- 4
The digits of 67887 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67887 = 3^{2} \times 19 \times 397 \]67887 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 103480 |
| Euler totient φ(n) | 42768 |
| Square | 4608644769 |
| Cube | 312867067433103 |
| Square root | 260.551339 (= 3√7543) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7887 × |
67887 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and eighty-seven |
| Binary (base 2) | 10000100100101111 |
| Octal (base 8) | 204457 |
| Hexadecimal (base 16) | 1092F |
| Base 3 | 10110010100 |
| As time | 67887 seconds = 18 h 51 min 27 s |
Is 67887 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 (67887 ÷ 3 = 22629) | 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 | No (remainder 1) | 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 | Yes (67887 ÷ 9 = 7543) | 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 6) | 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 67887 a prime number?
No. 67887 = × 19 × 397, so it is divisible by 3.
What are the factors of 67887?
1, 3, 9, 19, 57, 171, 397, 1191, 3573, 7543, 22629, 67887.
What is 67887 in binary?
10000100100101111 (hexadecimal 1092F, octal 204457).
What is the square root of 67887?
About 260.5513, exactly 3√7543.
Is 67887 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 67887?
67887 is a happy number: repeatedly adding the squares of its digits reaches 1.