The number 87424
87424 is a composite number with 16 divisors. Its prime factorisation is × 683. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 683, 1366, 2732, 5464, 10928, 21856, 43712, 87424.
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How to work it out
- 1
87424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87424 is composite. Its prime factorisation is
- 3
The divisors add up to 174420; without 87424 itself that is 86996, so 87424 is deficient (86996 is less than 87424). Euler's totient φ(87424) = 43648 numbers up to 87424 share no factor with it.
- 4
The digits of 87424 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87424 = 2^{7} \times 683 \]87424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 174420 |
| Euler totient φ(n) | 43648 |
| Square | 7642955776 |
| Cube | 668177765761024 |
| Square root | 295.675498 (= 8√1366) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.7424 × |
87424 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and twenty-four |
| Binary (base 2) | 10101010110000000 |
| Octal (base 8) | 252600 |
| Hexadecimal (base 16) | 15580 |
| Base 3 | 11102220221 |
| As time | 87424 seconds = 24 h 17 min 4 s |
Is 87424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87424 ÷ 2 = 43712) | 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 (87424 ÷ 4 = 21856) | 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 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 (87424 ÷ 8 = 10928) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | 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 87424 a prime number?
No. 87424 = × 683, so it is divisible by 2.
What are the factors of 87424?
1, 2, 4, 8, 16, 32, 64, 128, 683, 1366, 2732, 5464, 10928, 21856, 43712, 87424.
What is 87424 in binary?
10101010110000000 (hexadecimal 15580, octal 252600).
What is the square root of 87424?
About 295.6755, exactly 8√1366.
Is 87424 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 87424?
It is a composite number with 16 divisors.