The number 87364
87364 is a composite number with 6 divisors. Its prime factorisation is × 21841. Divisors (6): 1, 2, 4, 21841, 43682, 87364.
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How to work it out
- 1
87364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87364 is composite. Its prime factorisation is
- 3
The divisors add up to 152894; without 87364 itself that is 65530, so 87364 is deficient (65530 is less than 87364). Euler's totient φ(87364) = 43680 numbers up to 87364 share no factor with it.
- 4
The digits of 87364 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87364 = 2^{2} \times 21841 \]87364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 152894 |
| Euler totient φ(n) | 43680 |
| Square | 7632468496 |
| Cube | 666802977684544 |
| Square root | 295.574018 (= 2√21841) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7364 × |
87364 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and sixty-four |
| Binary (base 2) | 10101010101000100 |
| Octal (base 8) | 252504 |
| Hexadecimal (base 16) | 15544 |
| Base 3 | 11102211201 |
| As time | 87364 seconds = 24 h 16 min 4 s |
Is 87364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87364 ÷ 2 = 43682) | 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 | Yes (87364 ÷ 4 = 21841) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87364 a prime number?
No. 87364 = × 21841, so it is divisible by 2.
What are the factors of 87364?
1, 2, 4, 21841, 43682, 87364.
What is 87364 in binary?
10101010101000100 (hexadecimal 15544, octal 252504).
What is the square root of 87364?
About 295.5740, exactly 2√21841.
Is 87364 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87364?
It is a composite number with 6 divisors.