The number 87327
87327 is a composite number with 12 divisors. Its prime factorisation is × 31 × 313. Divisors (12): 1, 3, 9, 31, 93, 279, 313, 939, 2817, 9703, 29109, 87327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87327 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87327 is composite. Its prime factorisation is
- 3
The divisors add up to 130624; without 87327 itself that is 43297, so 87327 is deficient (43297 is less than 87327). Euler's totient φ(87327) = 56160 numbers up to 87327 share no factor with it.
- 4
The digits of 87327 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87327 = 3^{2} \times 31 \times 313 \]87327 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 130624 |
| Euler totient φ(n) | 56160 |
| Square | 7626004929 |
| Cube | 665956132434783 |
| Square root | 295.511421 (= 3√9703) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7327 × |
87327 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and twenty-seven |
| Binary (base 2) | 10101010100011111 |
| Octal (base 8) | 252437 |
| Hexadecimal (base 16) | 1551F |
| Base 3 | 11102210100 |
| As time | 87327 seconds = 24 h 15 min 27 s |
Is 87327 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 (87327 ÷ 3 = 29109) | 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 2) | 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 (87327 ÷ 9 = 9703) | 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 9) | 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 87327 a prime number?
No. 87327 = × 31 × 313, so it is divisible by 3.
What are the factors of 87327?
1, 3, 9, 31, 93, 279, 313, 939, 2817, 9703, 29109, 87327.
What is 87327 in binary?
10101010100011111 (hexadecimal 1551F, octal 252437).
What is the square root of 87327?
About 295.5114, exactly 3√9703.
Is 87327 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87327?
It is a composite number with 12 divisors.