The number 87367
87367 is a composite number with 6 divisors. Its prime factorisation is Ć 1783. Divisors (6): 1, 7, 49, 1783, 12481, 87367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87367 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87367 is composite. Its prime factorisation is
- 3
The divisors add up to 101688; without 87367 itself that is 14321, so 87367 is deficient (14321 is less than 87367). Euler's totient Ļ(87367) = 74844 numbers up to 87367 share no factor with it.
- 4
The digits of 87367 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87367 = 7^{2} \times 1783 \]87367 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 101688 |
| Euler totient Ļ(n) | 74844 |
| Square | 7632992689 |
| Cube | 666871672259863 |
| Square root | 295.579093 (= 7ā1783) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7367 Ć |
87367 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and sixty-seven |
| Binary (base 2) | 10101010101000111 |
| Octal (base 8) | 252507 |
| Hexadecimal (base 16) | 15547 |
| Base 3 | 11102211211 |
| As time | 87367 seconds = 24 h 16 min 7 s |
Is 87367 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87367 Ć· 7 = 12481) | 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 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87367 a prime number?
No. 87367 = Ć 1783, so it is divisible by 7.
What are the factors of 87367?
1, 7, 49, 1783, 12481, 87367.
What is 87367 in binary?
10101010101000111 (hexadecimal 15547, octal 252507).
What is the square root of 87367?
About 295.5791, exactly 7ā1783.
Is 87367 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 87367?
It is a composite number with 6 divisors.