The number 87312
87312 is a composite number with 40 divisors. Its prime factorisation is × 3 × 17 × 107. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 107 … 87312.
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How to work it out
- 1
87312 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87312 is composite. Its prime factorisation is
- 3
The divisors add up to 241056; without 87312 itself that is 153744, so 87312 is abundant (153744 is more than 87312). Euler's totient φ(87312) = 27136 numbers up to 87312 share no factor with it.
- 4
The digits of 87312 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87312 = 2^{4} \times 3 \times 17 \times 107 \]87312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 241056 |
| Euler totient φ(n) | 27136 |
| Square | 7623385344 |
| Cube | 665613021155328 |
| Square root | 295.486040 (= 4√5457) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7312 × |
87312 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and twelve |
| Binary (base 2) | 10101010100010000 |
| Octal (base 8) | 252420 |
| Hexadecimal (base 16) | 15510 |
| Base 3 | 11102202210 |
| As time | 87312 seconds = 24 h 15 min 12 s |
Is 87312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87312 ÷ 2 = 43656) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87312 ÷ 3 = 29104) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87312 ÷ 4 = 21828) | 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 (87312 ÷ 6 = 14552) | 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 | Yes (87312 ÷ 8 = 10914) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87312 ÷ 12 = 7276) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87312 a prime number?
No. 87312 = × 3 × 17 × 107, so it is divisible by 2.
What are the factors of 87312?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 107, 136, 204, 214, 272, 321, 408, 428, 642, 816, 856, 1284, 1712, 1819, 2568, 3638, 5136, 5457, 7276, 10914, 14552, 21828, 29104, 43656, 87312.
What is 87312 in binary?
10101010100010000 (hexadecimal 15510, octal 252420).
What is the square root of 87312?
About 295.4860, exactly 4√5457.
Is 87312 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 87312?
It is a composite number with 40 divisors.